Algebra I EOC Practice #1mentorshipacademy.org/ourpages/auto/2014/8/26/59… · Web...

Algebra I EOC Practice #1HSF-IF.A.3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

1. Which function best represents the data shown in the table?

Shirt CostNumber of

shirts, xTotal Cost,

f(x)1 152 263 374 485 59

A. f(x) = 11xB. f(x) = x + 11C. f(x) = 11x + 4D. f(x) = 4x + 11

2. Which function represents the data shown in this table?

n f(n)1 102 133 164 195 22

A. f(n) = x + 3B. f(n) = 2x + 8C. f(n) = 4x + 5D. f(n) = 3x + 7

3. Write a function to represent the sequence listed below.

2, 7, 12, 17, 22, 27

A. f(x) = 3x + 1B. f(x) = 2x + 4C. f(x) = x + 5

D. f(x) = 7x – 2

4. A sequence is created from the function k(n) = 2n + 3, where n represents the position of the term of the sequence. The sequence does not begin at 0. Which list represents the first five terms of the sequence?

A. 3, 5, 7, 9, 11B. 5, 7, 9, 11, 13C. 5, 9, 13, 17, 21 D. 2, 3, 4, 5, 6

5. The table shows the cost of shipping t-shirts, c(t), based on the number of t-shirts ordered, t.

Number of shirts

ordered, t

Total cost of shipping

t-shirts, c(t)1 $2.502 $2.803 $3.104 $3.405 $3.706 $4.007 $4.308 $4.60

The pattern in the table continues. Which value represents the cost of shipping 12 t-shirts?

A. $4.90B. $5.20C. $5.50

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D. $5.80

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Algebra I EOC Practice #2

A-CED-1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

1. Trevor Benjamin is a salesperson who is paid a monthly salary of $500 plus 2% commission on sales. Write an equation that represents Trevor’s monthly salary.

A. S = 2x + 500 B. S = 500x + .02 C. S = .02x + 500 D. S = .05x + 2

For questions 2 and 3, use the following information.

Dollywood first opened in 1961 as a small tourist attraction named “Rebel Railroad.” After several name changes, Dolly Parton became co-owner in 1986 and the park was renamed “Dollywood.”

2. Let y represent the number of years after 1961 that the park was renamed Dollywood. Write an expression for the year the park was renamed.

A. 1961 - y B. 1986 - y C. 1961 + y D. 1986 + y

3. Write an equation to represent the year the park was renamed.

A. 1961 + y = 1986 B. 1986 + y = 1961 C. y - 1961 = 1986 D. y – 1986 = 1961

4. Mrs. Doubtfire is planning to place a fence around her backyard. The fencing costs $1.95 per yard. She buys f yards of fencing and pays $3.50 in tax. If the total cost of the fencing is $81.50, write an equation to represent the situation.

A. 3.50f + 1.95 = 81.50 B. 1.95f + 3.50 = 81.50 C. 1.95 f - 3.50 = 81.50 D. 3.50f – 1.95 = 81.50

5. During a one-hour episode of Numb3rs, the entertainment portion lasted 15 minutes longer than 4 times the advertising portion. If a represents the time spent on advertising, write an equation to represent the situation.

A. 4a + 15 = 60 B. 4(a + 15) = 60 C. a(4a + 15) = 60 D. a + (4a + 15) = 60

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6. Karen works for $6 an hour. A total of 25% of her salary is deducted for taxes and insurance. She is trying to save $450 for a new car stereo and speakers. Write an equation to represent how many hours Karen must work to take home $450 if she saves all of her earnings.

A. 6h – 0.25(6h) = 450B. 6h – 0.25h = 450C. 6(0.25h) = 450D. 450 + 6h = 0.25(6h)

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A-SSE-1 Interpret parts of an expression, such as terms, factors, and coefficients.

1. Simplify: 3(x – 2y) + 7(x + 3y) – 3y

A. 4x – 30y B. 10x + 12y C. –6x + 12y D. 7x – 10y

2. Simplify: –4(2x – 3y) + 4x – 2(x + 6)

A. –6x B. –6x + 24y C. 12y – 12 D. –6x + 12y – 12

3. If x = –2, y = 5, and z = 3, evaluate the following expression.

x4 – 5y + 2(x – z)2

A. 50 B. –41 C. 41 D. 63

4. Simplify: 5x6(2x4 – x3 + 7x2 – 4x)

A. 10x10 – 5x9 + 35x8 – 20x7

B. 10x24 – 5x18 + 35x12 – 20x6

C. 7x24 – 4x18 + 12x12 + x6

D. 20x34

5. If x = –4 and y = 8, evaluate the following expression.

A. 1544

B. –1500 C. –200 D. 1540

6. Identify the property used to simplify the following expression.

3(x – 7) = 3x – 21

A. Associative Property of Addition B. Commutative Property of Addition C. Distributive Property D. Identity Property of Addition

7. What is the value of the expression when x = 6 and y = –4?

8xy2 – 5x2

A. –948 B. 588 C. 324 D. 36,864

8. David wants to buy a new bicycle that cost $295 before a 40% discount. He finds the cost after the discount, in dollars, by evaluating 295 – 295(0.40). His brother Michael finds the same cost by evaluating 295(1 – 0.40). What property can be used to justify that these two expressions represent the

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same cost after the discount?

A. associative property B. commutative property C. distributive property D. subtraction property of equality

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Translate between representations of functions that depict real-world situations.

1. Carrie bought 3 kinds of flowers. The costs are summarized in the table below.

Flower Cost

Flower NumberPurchased

Cost

Pansies 10 $25Petunias 8 $21Roses 7 $19

Which equation correctly expresses the relationship between the number of flowers purchased (f) and the cost (c)?

A. c = 2f + 5 B. c = 2.5f C. c = f + 15 D. c = 3f – 3

2. Given the sequence 2, 8, 26, 80, …

Which function below correctly models the sequence, if x represents each number in the sequence?

A. f(x) = x + 6 B. f(x) = 2x + 4 C. f(x) = 4x – 6 D. f(x) = 3x + 2

3. The table below describes the number of inches in each foot. Which equation best models this relationship?

Number of Feet (x) 1 2 3 4Number of Inches f(x) 12 24 36 48

A. f(x) = x + 12 B. f(x) = 3x – 12 C. f(x) = 12x D. f(x) = 2x - 104. Joel sold lemonade at the

summer league baseball tournament for 3 days. He

purchased lemons, sugar, and cups each day for $200.00. He sold the lemonade for $1.50 per cup.

Which equation correctly models the profit Joel made each day?

Lemonade Profit

A. p = s – $50 B. p = $1.50s - $200.00 C. p = s - $200.00 D. p = $200.00s - $1.50

5. Lorena works for a company that packages CDs from various artists to send to radio stations for promotional events. The table below summarizes the CDs sent to each station.

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Day Number ofCups Sold (s)

Profit (p)

Friday 300 $250.00Saturday 350 $325.00Sunday 400 $400.00

Radio Station

Number of CDs Sent per Event

Total Sent to Each Station

WKBX 12 50WLHR 8 30WPTC 9 35

Which equation below correctly expresses the relationship between the number of CDs sent per event (x) and the total sent to each station, f(x)?

A. f(x) = 4x + 2 B. f(x) = 5x – 10 C. f(x) = 3x + 6 D. f(x) = x + 38

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A-SSE-3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression

1. Ben works at a shoe store. The equation y = 15x + 60 represents his daily earnings, y, based on selling x pairs of shoes. What is represented by the slope in this equation?

E. The total pairs of shoes

that Ben sells each dayF. The total amount of

money Ben earns each day

G. The amount of money Ben earns for each pair of shoes he sells

H. The amount of money Ben earns if he does not sell any shoes

2. Which transformation occurs to the graph of y = 2x + 5 when the equation of the line changes to

y = –2x + 5?

E. The line shifts to the left 2 units.

F. The line shifts down 2 units.

G. The line is reflected across the x-axis.

H. The line is reflected across the y-axis.

3. Ally earns $2,500 per month plus a commission of 7% of the total dollar amount of

each sale she makes. Her total monthly earnings, P, are represented by the equation

P = 2,500 + 0.07t, where t represents the total dollar amount of her sales for the month. Which equation will represent her total monthly earnings in dollars if her commission increases an additional 2%?

A. P = 2,700 + 0.09tB. P = 2,500 + 0.09tC. P = 2,700 + 0.07tD. P = 2,500 + 0.05t

4. Which transformation occurs to the graph of y = –5x + 2 when the equation of the line changes to

y = –5x – 3?

E. The line shifts to the left 5 units.

F. The line shifts down 5 units.

G. The line is reflected across the x-axis.

H. The line is reflected across the x-axis.

5. What transformation occurs to the graph of y = 3x + 1 when the equation of the line changes to y = 6x + 1?

E. The line becomes steeper.

F. The line becomes less steep.

G. The line shifts 3 units up.

H. The line shifts 3 units right.

6. Jim and Sam are both spending the night with a

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cousin. The total number of miles Jim drives, J, including a 2.5 mile detour for lunch, is given by the equation J = 65t + 2.5. The total number of miles Sam drives, S, including a 1 mile detour to pick up another cousin, is given by the equation S = 70t + 1. If t represents the time in hours after each boy leaves home, which statement best compares Jim’s speed to Sam’s speed?

A. Jim’s speed is 5 miles faster than Sam’s.

B. Jim’s speed is 1.5 miles faster than Sam’s.

C. Jim’s speed is 5 miles slower than Sam’s.

D. Jim’s speed is 1.5 miles slower than Sam’s.

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F-IF-6 Calculate and interpret the average rate of change of

a function over a specified interval. Estimate the rate of change from a graph.

1. Find the slope of the line that passes through (–6, 1) and (4, –3).

A.

B. –

C.

D. –

2. Brandon works in a shoe store. His daily earnings, y, are represented by the equation y = 20x + 75 based on selling x pairs of shoes. What is represented by the slope in this equation?

I. The total pairs of shoes

Brandon sells each dayJ. The total amount of

money Brandon earns each day

K. The amount of money Brandon earns for each pair of shoes he sells

L. The amount of money Brandon earns each day, even if he sells no shoes

3. The distance in miles, y, a rower in a canoe is from the dock after rowing x hours is represented by the equation y = 5x + 11. What does the

slope represent in this situation?

I. The speed of the currentJ. The speed of the

rower/canoeK. The distance the rower

is from the dock when x = 0

L. The average speed of the oar as it passes through the water

4. What is the slope of the line 3x – 7y = 11?

A. –

B.

C. 3 D. –3

5. In 1991, the federal minimum wage rate was $4.25 per hour. In 1997, it was increased to $5.15. Find the annual rate of change in the federal minimum wage rate from 1991 to 1997.

I. $0.15 per yearJ. $0.18 per yearK. $0.55 per yearL. $0.90 per year

6. The table below shows the amount spent on food and drink at U.S. restaurants in

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recent years. Find the rate of change for 1980-1990.

A. 13.7 billion per yearB. 12.8 billion per yearC. 10 billion per yearD. 11.9 billion per year

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YearFood & Drink

Sales (in billions)

1980 $1201990 $2392000 $376


N-RN-3 Explain why the sum or product of two rational

numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational..

1. If the value of the variable x is positive, what is the sum of and ?

A. B. C.

D.

2. What is the value of the following expression?

A.

B.

C.

D.

3. Write in simplest radical form.

A. M.N.O.

4. Which expression is equivalent to ?

A. 5x4

B. 25x4

C. 25x8

D. 625x8

5. Which expression is equivalent to

?

A. 2xB. 10xC. 5x

D.

6. What is the product of and ?

A. B. C. D.

7. Write in simplest radical form.

A. 2x2y2

B. 3x2y2

C. 2xyD. 3x2y2

8. If x ≠ , which expression

is

equivalent to

?

A. x + 6 B. 3x + 2 C. –6x2 + 8x – 8 D. 12x2 + 32x + 16

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A-SSE-2 Use the structure of an expression to identify ways to rewrite it.

1. One gram of water contains about 3.34 x 1022 molecules. About how many molecules are contained in 5.0 x 102 grams of water?

M. 1.67 x 1025

N. 8.84 x 1024

O. 6.68 x 1019

P. 1.49 x 10–20

2. Simplify (6.5 x 103)2.

D. 13 x 106

E. 13.0 x 106

F. 4.23 x 107

G. 42.2 x 108

3. The radius of a red blood cell is approximately 1.9375 x 10–7 meters. Since a red blood cell is a circular shape, use A= r2 to approximate the area of a red blood cell.

P. 3.875 x 10–14

Q. 1.179 x 10–13

R. 1.179 x 1015 S. 3.875 x 10–13

4. Simplify (3.15 x 103)(5.0 x 105). Express your answer in scientific notation.

E. 1575 x 109

F. 1.575 x 108

G. 15.75 x 1010 H. 1.575 x 109

5. Evaluate and express the answer in scientific notation.

6.3 x 10 9 1.3 x 102

I. 48 x 108

J. 48000000 K. 4.8 x 107

D. 4.8 x 101

6. Which expression is closest to (7.09 x 10–8)(9.033 x 1027)?

A. 6.404 x 1020

B. 6.404 x 1035

C. 16.123 x 1019

D. 16.123 x 1035

7. The approximate population of Arizona is 4.778 x 106 people. The land area is about 1.14 x 105. What is the population density per square mile?

A. about 0.24 people per spare mile

B. about 4,892,000 people per square mile

C. about 5.45x1011 people per square mile

D. about 42 people per square mile

8. If an infrared wavelength measures about 8 x 10–7 meters, and a blue wavelength measures approximately 4.5 x 10–7 meters, about how many times longer is the infrared

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wavelength than the blue wavelength?

A. about 0.56 times B. about 1.8 times C. about 3.6 x 10–13 times D. about 1.25 x 10–6 times

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Describe and/or order a given set of real numbers including both rational and irrational numbers.

For questions 1 and 2, name the set or sets of numbers to which each real number belongs.

1. –

A. irrationals B. rationals C. naturals, wholes, integers, rationals D. integers, rationals

2.

A. irrationals B. rationals C. naturals, wholes, integers, rationals D. integers, rationals

3. Write the following numbers in order from greatest to least.

, , 0.46,

A. , 0.46, ,

B. , , 0.46,

C. , 0.46, ,

D. , 0.46, ,

4. Replace each ● with >,<, or

= to make the sentence ●

true.

A. > B. < C. = D. ~5. Which statement best

describes the values of the numbers in this set?

L. They are less than 1.M. They are between 1 and

2.N. They are between 2 and

3.O. They are between 3 and

4.5.

For questions 5 and 6, write each set of numbers in order from least to greatest.

6. , 0.18, 0. ,

A. , 0.18, 0. ,

B. 0.18, 0. , ,

C. , , 0.18, 0.

D. , 0. , 0.18,

7. , 9 ,

A. 9 , ,

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B. , 9 ,

C. , 9 ,

D. , , 9

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A-CED-2 Create equations in two or more variables to represent relationships between quantities; graph

equations on coordinate axes with labels and scales.F-IF-3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

1. At the beginning of year 1, Judy deposits $250 in her savings account, which pays 7% interest compounded annually. She makes no other deposits or withdrawals. The amount in the account at the beginning of each year is shown in the table.

Judy’s Account

Which function represents A(n), the amount in Judy’s account at the beginning of the year n?

Q. A(n) = 250R. A(n) = 250(1.07)n+1

S. A(n) = 250(1.07)n

T. A(n) = 250(1.07)n–1

2. Which function represents the linear pattern shown in the table?

x f(x)1 32 103 174 24

H. f(x) = x + 2

I. f(x) = 3xJ. f(x) = 7x – 4 K. f(x) = 5x – 2

3. The first 3 figures in a pattern are shown.

Figure 1 Figure 2 Figure 3

Which function represents f(n), the number of small squares in figure n?

T. f(n) = n + 3U. f(n) = n2 + 3V. f(n) = n + 4W. f(n) = (n + 1)2 + 2

4. The total price for a t-shirt order is a function of the number of shirts ordered. The total cost based on the number of shirts ordered is shown in the table below.

T-Shirt Cost

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Year, n Amount in Account, A(n)

1 2502 250(1.07)3 250(1.07)2

4 250(1.07)3

Number of Shirts

OrderedTotal Cost

50 $395.00100 $745.00150 $1,095.00200 $1,445.00

Which function represents the total cost for a t-shirt order?

A. f(x) = 4x – 5E. f(x) = 6x + 145 F. f(x) = 4x + 195G. f(x) = 7x + 45

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AAPR-1 Understand that polynomials form a system analogous to the integers, namely, they are closed under

the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials. A-SSE-1a Interpret parts of an expression, such as terms, factors, and coefficients

1. The length and width of rectangular garden are represented in the figure shown.

Which equation represents the area (A) of the garden in terms of x?

A. A = 3x + 3 B. A = 2x2 + 6x C. A = 2x + 5 D. A = 8x

2. The length and width of rectangular pool are represented in the figure shown.

A. 4x + x + 1 B. 3x2 + x C. 5x + 1 D. 3x – 13. The length and width of

rectangular garden are represented in the figure shown.

Which equation represents the perimeter (P) of the garden in terms of x?

A. P = 6x2 + 2 B. P = 4x C. P = 6x + 2 D. P = 6x2

4. The length and width of rectangular garden are represented in the figure shown. Which expression represents the perimeter of the garden?

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x+3

A=l w

2x

3x + 1

x

A=l w

2x

x + 1

P = 2l

x2 + 2x - 6

2x2 – 6

A. 6x2 – 4x B. 6x2 + 4x – 24 C. 6x2

D. 3x2 + 2x – 12

5. Simplify: (2x2 – 6x + 3) + (2x – 7)

A. 2x2 – 9x B. 2x2 – 4x – 4 C. 2x2 + 4x + 10 D. 2x2 – 9x + 4

6. Simplify: 4x3y5(8x2y + 4xy2 – 10x7y5

A. 32x6y5 + 16x3y10 – 40x21y25

B. 32xy + 16xy – 40xy C. 32x5y6 + 16x4y7 – 40x10y10

D. 30xy – 16xy + 10xy

7. Simplify: (x + y)(x + y)

A. x2 + 2xy + y2

B. x2 + y2

C. 2x2 + 2xy + 2y2

D. x2 – y2

8. Which is an equivalent form for all values of x, y, and z for which the expression is defined?

3x 6 y 2 z 10 18x2y4z3

A.

B.

C.

D.

9. Which values of x make the equation true?

x2 + 8x + 7 = 0

A. 6 and 1 B. 8 and 1 C. –7 and –1 D. 7 and 1

10. Simplify:

(11m3 + 5m2 – m) + (m2 + 9m – 7)

A. 11m3 + 6m2 + 10m + 7 B. 11m3 + 6m2 + 8m – 7 C. 11m3 + 5m2 + 10m – 7 D. 11m3 + 5m2 + 8m + 7

11. What is the sum of k3 + 9k2

+ 3 and 7k2 – 5?

A. 8k3 + 16k2 – 2 B. 8k3 + 9k2 + 2 C. k3 + 16k2 – 2 D. k3 + 9k2 + 2

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P = 2l

12. Simplify: (3x + 2y)(5x + 4y)

A. 15x2 + 8y2

B. 15x2 + 10xy + 8y2

C. 8x2 + 22xy + 6y2

D. 15x2 + 22xy + 8y2

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A-CED-2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.A-REI-1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the

previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. A-REI-4b Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. A-SSE-2 Use the structure of an expression to identify ways to rewrite it.

Factor the following polynomials.

1. x2 + 8x + 15

A. (x + 3)(x + 5) B. (x – 3)(x + 5) C. (x + 3)(x – 5) D. (x – 3)(x – 5)

2. x2 – 11x + 24

A. (x + 3)(x – 8) B. (x – 2)(x – 12) C. (x – 3)(x – 8) D. (x + 2)(x + 12)

3. 6x2 – 23x + 20

A. (2x – 5)(3x – 4) B. (2x – 5)(3x + 4) C. (2x – 5)(4x – 3) D. (3x – 4)(5x + 2)

4. 4x2 – 5x – 6

A. (x + 2)(3x + 4) B. PRIME C. (x – 3)(4x + 2) D. (x – 2)(4x + 3)

5. 30x2y4z + 35x3yz5 – 5xy2z6

A. 7xyz(6x + 5x2z4 – y) B. PRIME C. 5xyz(6xy3 + 7x2z4 – yz5)

D. 6x2y4z + 5x3yz5 – 1xy2z6

6. x3 + 5x2 + 7x + 35

A. x(x2 + 5x + 7) B. (x + 5)(x2 + 7) C. (x + 7)(x2 + 5) D. x(x2 + 5x + 42)

7. 8x2 + 2x – 15

A. (4x – 5)(2x + 3) B. (4x + 5)(2x – 3) C. (8x – 5)(x + 3) D. (8x – 3)(x + 5)

8. Which expression is equivalent to n2 – 16n + 64?

A. (n – 32)(n – 2) B. (n + 16)(n – 4) C. (n – 8)(n – 8) D. (n + 8)(n + 8)

9. Which expression is equivalent to x2 – 36?

A. (x + 9)(x – 4) B. (x – 6)(x – 6) C. (x + 6)(x + 6) D. (x + 6)(x – 6)

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10. Which expression is equivalent to c2 + 20c + 100?

A. PRIME B. (c + 10)(c + 10) C. (c – 10)(c – 10) D. (c + 10)(c – 10)

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A-CED-1 Create equations and inequalities in one variable and use them to solve problems..

1. Simplify for all

values of x for which the expression is defined.

A.

B.

C.

D.

2. Simplify for all

values of x for which the expression is defined.

A.

B.

C.

D.

3. Simplify

A. 5(x+3)

B.

C.

D. 5

4. Simplify

for

all values of x for which the expression is defined.

A. 1

B. –1

C.

D.

5. Simplify the expression below and state all restrictions on the domain.

A.

B.

C.

D.

6. Simplify

A.

B.

C. 2

D. x – 3

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A-CED.A-REI.

1. Solve the equation =

7 for m. A. m = 50 B. m = 8 C. m = 10 D. m = 0

2. Solve the equation w – 4 =

–12 – 3w for w.

A. w = –4 B. w = –2 C. w = –8 D. w = 4

3. Solve the equation c – (–1.3) = –2.3 for c.

A. c = –1.0 B. c = 3.6 C. c = 1.0 D. c = –3.6

4. Which number is a solution to

12x – 7 > 7x + 13 or 4x + 5 > 7x + 35?

A. –12 B. –10 C. –4 D. 4

5. Which compound inequality represents │7 + 2n │≥19 ?

A. 7 + 2n ≥ 19 or 7 + 2n ≥ –19 B. 7 + 2n ≥ 19 or 7 + 2n ≤ –19 C. –19 ≤ 7 + 2n ≤ 19

D. 7 + 2n ≤ 19 or 7 + 2n ≥ –19

6. Solve 4b – 3(2b – 6) > 3 – (5b + 9) for b.

A. b < 8 B. b > 8 C. b < –8 D. b > –8

7. Solve 8 > 5 – 3x and 5 – 3x > –13 for x.

A. B. C. D.

8. Solve │x – 6 │ = 4.

A. B. C. D.

9. Solve: 7x – 11 < 10 < 3x + 28

A. x < 3 or x < 6 B. –6 < x < 3 C. x > 6 and x < 3 D. –3 < x < 6

10. Which statement represents the solution to this compound inequality?

–2x – 7 ≥ 3 or –4x + 6 ≤ –18

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A. x ≤ 5 or x ≤ –6 B. x ≥ –5 or x ≤ 6 C. x ≤ –5 or x ≥ 6 D. x ≤ 5 or x ≥ –6

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F-IF-1 Understand that a function from one set (called

the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range.

1. This graph represents a relation.

Which set of ordered pairs is included in this relation?

U. {(9,–3), (4,–2), (0,0), (1,1)}

V. {(–3,9), (–2,4), (0,0), (1,1)}

W. {(–9,3), (–4,2), (0,0), (1,1)}

X. {(3,–9), (2,–4), (1,–1), (0,0)}

2. Which set represents the relation shown on the graph?

L. {–7, –4, –1, 2, 5, 8}M. {2, 4, 3, 1, 5, 0}N. {(–7,2), (–4,4), (–1,3), (2,1),

(5,5), (8,0)} O. {(2,–7), (4,–4), (3,–1), (1,2),

(5,5), (0,8)}

3. Observe the relation.

Which is not an equivalent representation for this relation for the set of integers?

A. y = │ x │

B. {(–4,–4), (–1,–1), (0,0), (2,2), (3,3)}

C.

D.

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x y–3 –3 –2 –2–1 –10 01 –12 –23 –3

–2–1 0 1 2

0

–1

–2


F-IF-1 Understand that a function from one set

(domain) to another set (range) assigns to each element of the domain exactly one element of the range.

1. The height (h) of a cliff diver above the water t seconds after he jumps is modeled by the equation h = –16t2 + 72. What is the height above the water of a cliff diver at 1.5 seconds after he jumps?

A. 36 B. 108 C. 53 D. 312

2. A meteorologist sends a moisture probe rocket into a cloud layer. The height (h) the rocket will reach after t seconds is modeled by the equation h = –16t2 + 212t + 2. What will be the height of the rocket after 0.5 seconds?

A. 212 ft.B. 662C. 104 ft.D. 44

3. Which of the following relations does NOT represent a function?

A. {(3, 2), (4, 1), (5, 2), (–7, 3)}

B.

C. 5 - 7

0 9 -2 3

D. {(–2, 1), (–3, 2), (–4, 3), (–5, 4)}

4. What is the domain of the function?

x y5 –210 315 –720 5

A. {–2, 3, –7, 5}

B. {all real numbers} C. 5 < d < 20 D. {5, 10, 15, 20}

5. What is the range of the function?

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x y3 –55 43 8

A. –3 < D < 1 B. –4 < D < 4 C. –3 < R < 1 D. –4 < R < 4

6. What is the value of the function f(x) = x2 – 4x + 6 when x = –5?

A. 1 B. 11 C. 21 D. 51

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A-REI-10 Understand that the graph of an equation in two

variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

1. Which equation best represents the graph of the line?

A. 3x – 4y = 8B. 4x – y = 3C. 3x – y = 4D. 2x – y = 4

2. Which equation best represents the graph of the line?

A. y = – x – 1

B. y = – x – 1

C. y = x – 1

D. y = x – 1

3. Write equation best represents the line shown?

A. y = –1.25x – 2 B. y = –1.25x + 3C. y = –0.8x + 3D. y = –0.8x – 2

4. Which of the following equations has a slope of 3 and passes through the point (5, –8)?

A. 3x + y = –23B. 3x – y = 23C. 3x + 5y = –8D. 5x – 8y = 3

5. Which of the following

equations has a slope of –

and passes through the point (14, 3)?

A. 4x + 7y = 77

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B. 14x + 3y = –

C. 4x – 7y = –77

D. x + 3y = 14

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A-REI-6 Solve systems of linear equations exactly and

approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

1. Which graph best represents the solution to the system of linear inequalities?

x + y < 0 2y – 3x ≥ 0

A B

C D

2. Which ordered pair, (x, y), represents the solution for the system of equations?

x + 2y = 13 x – y = –2

X. (5, 3)Y. (8, 10)Z. (1, 6)AA.(3, 5)


3x – 5y = 23 x – 2y = 9

A. (– 4, 1)B. (1, – 4)C. (11, 2)D. (13, 2)


3.5x + 5.5y = 40 x + y = 8

P. (6, 2)Q. (5, 3)R. (2, 6)S. (3, 5)

5. Which graph best represents the solution to the system of linear inequalities?

x – y ≥ –3 6x + 3y < 12y ≤ –1

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A B

C D

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F-IF-8a Use the process of factoring and completing the square in a quadratic

function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.


x2 + 4x – 21 = 0

Y. –3 and 7Z. –7 and 3AA. 3 and 7BB.–7 and –3

2. Solve x2 – 3 = 8x – 19

A. –4B. –2C. 2D. 4

3. Solve x2 – 6x + 3 = 0

BB.CC.DD.EE.


x2 – 10x + 15 = 3x – 15

A. 3 and 10B. –3 and –10C. 5 and 6D. –5 and –6


2x2 + 11x – 21 = 0

A. 7 and –3

B. – and 7

C. –3 and 7

D. –7 and

6. Solve x2 + 3 = 4x + 35

A. 7 and –5 B. –7 and 5 C. 8 and –4 D. –8 and 4

7. Solve x2 + 10x + 15 = 0.

A. B. C. D.

8. Which value of x makes the equation true?

3x2 + 14x + 5 = 0

A. –5 and –

B. 5 and

C. –3 and –5

D. 3 and 5

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Analyze nonlinear graphs including quadratic and exponential functions that model a contextual situation.

1. The graph represents a function related to a runner’s movement over time.

TIMEWhich function could this graph represent?

A. The speed of a runner as he decreases his rate of acceleration.

B. The speed of a runner as he slows down when approaching the finish line.

C. The distance of the runner from the start line as he accelerates.

D. The distance of the runner as he approaches the finish line at a constant speed.

2. The graph shows the growth in a bacterial culture over a period of three days.

Bacterial Culture

DAYS

Which best describes the number of

bacteria on the third day?

A. Greater than or equal to 100,000

B. Less than or equal to 100,000

C. About 90,000D. About 1,000,000

3. A NFL kicker attempts a 45 yard field goal. The path of the football toward the uprights can be represented by the graph of a quadratic function. The vertical distance, d in feet, of the football as it travels over time t, is represented by the parabola shown below.

Field Goal

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feet

Time (seconds)

Once the football has traveled 1 second, in how many more seconds does it return to the same height?

A. 1.75B. 3.00C. 4.75D. 3.75

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Develop and apply strategies to estimate the area of any shape on a plane grid.

1. Which is closest to the area of the figure?

= 1 square unit

A. 9 square unitsB. 12 square unitsC. 16 square unitsD. 20 square units


= 1 square unit


3. Which is the closest to the area of the figure?

= 1 square unit



= 1 square unit

A. 15 square units

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B. 2 square unitsC. 30 square unitsD. 32 square units

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12 ft

x

24 ft


Solve contextual problems using the Pythagorean Theorem.

1. Joe plays third base, and Billy plays first base for their baseball team. If Joe and Bill are both standing on their respective bases, how long is a throw from Joe to Bill? A baseball diamond is a square with 90 feet between each of the bases.

A. 360 feetB. 127.28 feetC. 180.56 feetD. 90 feet

2. In order to go to school each day, Julie walks about 3 miles west from her home on Patriot Avenue, then she walks south along Jefferson Street to the front of her school. She knows that the shortest distance from her home to the front of the school is about 9 miles (as the crow flies). How far does she walk along Jefferson Street each school day?

A. 3.2 milesB. 6 milesC. 8.5 milesD. 9.7 miles

3. Oscar’s doghouse is shaped like a tent. The slanted sides are both 5 feet long, and the bottom of the house is 8 feet across. What is the height of the doghouse, in feet, at its tallest point?

A. 3 feetB. 4 feetC. 5 feetD. 6 feet

4. David was locked out of his house, but he noticed that there was an open window on the second floor, which is 25 feet above ground level. David borrowed a ladder from one of his neighbors. Since there is a shrub along the edge of the house, David will have to place the base of the ladder 10 feet from the house. What length ladder must David have in order to reach the window?

A. 17 feetB. 23 feetC. 27 feetD. 33 feet

5. The diagram below shows the dimensions of Joe’s flower garden. What is the dimension, in feet (ft), represented by x?

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8’

5’5’x

7 ft

14 ft

A. 5.92 feetB. 8.62 feetC. 10.35 feetD. 11.18 feet

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Accident

Jefferson Hospital

MercyHospital


Solve problems involving the distance between points or midpoint of a segment.

1. What is the length of a segment whose endpoints are (5, –8) and (9, 2)?

A. 116B.C.D.

2. What are the coordinates of the midpoint of a line segment with endpoints (8, 11) and (–12, 5)?

A. (10, 8)B. (–2, 8)C. (–4, 16)D. (–2, 16)

3. Which value is closest to the perimeter of GHJ, in units?

A. 8B. 15C. 19D. 23

4. An EMS helicopter is stationed at Mercy Hospital, which is 4 miles west and 2 miles north of an automobile accident. Another EMS helicopter is stationed at Jefferson Hospital, which is 3 miles east and 3 miles north of the accident. Which statement below is correct?

A. Mercy Hospital is 0.23 miles closer to the accident.

B. Mercy Hospital is 8.71 miles closer to the accident.C. Jefferson Hospital is

0.23 miles closer to the accident.

D. Jefferson Hospital is 8.71 miles closer to the accident.

5. What is the distance between the two points on the graph below?

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J

G H

A. 3.6 unitsB. 6.4 unitsC. 7.1 unitsD. 5.5 units

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N-Q-1 Use units as a way to understand problems and to guide the solution of multi-

step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.

1. A 2-ounce package of ham costs $1.29. Which is closest to the cost per pound?

A. $0.65B. $2.58C. $5.16D. $10.32

2. Tyler can run a mile in 5½ minutes. Which is closest to this rate in feet per minute?

A. 5,280 B. 2,640C. 1,320D. 960

3. Laura can pressure wash her driveway at an average rate of 15 square feet per minute. Which is closest to this rate in square yards per second?

A. 0.35B. 0.24C. 0.03D. 0.01

4. Which number correctly completes this equation?

6 square feet = _____ square inches

A. 72B. 144

C. 864D. 1,728


12 square yards = _____ square feet

A. 108B. 144C. 12D. 36

6. One type of decorative ribbon regularly costs $3.59 per yard. When the ribbon is on sale, it costs $2.19 per yard. Which is the closest to the difference in the cost per inch for the ribbon when it on sale compared to its regular price?

A. 1.9 cents per inch B. 3.8 cents per inch C. 11.6 cents per inch D. 16.06 cents per inch


6 square yards = ____ square inches

A. 7,776 B. 1,728 C. 648

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D. 216

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S-ID….Interpret displays of data to answer questions

about the data set(s) (e.g., identify pattern, trends, and/or outliers in a data set.)

What is a reasonable estimate of the value of the watch in 2002?

A. 14,100B. 13, 500C. 12, 500D. 12, 000

2. The scatter plot shows the number of CD’s sold in 7 days at Bob’s Music Store.

For day seven, which number of CD’s sold would be considered an outlier?

A. 9B. 10C. 25D. 40

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3. The average rainfall, over a period of years, is shown in the graph below.

A. 8.1 inches B. 4.7 inches C. 5.9 inches D. 9.8 inches

4. A total of 400 students were surveyed about their favorite color. The circle graph shows the percentage of each color students chose.

Which statement is NOT supported by the data displayed in the graph?

A A little more than half the students chose either blue, orange, or green as their favorite color. B Green was chosen as the favorite color by more

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than half the number of students as purple.

C Blue was the favorite color of 29 students. D Yellow and pink combined were chosen by more students than orange.

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Algebra I EOC Practice #26Identify the effect on mean, median, mode, and range

when values in the data set are changed.

1. The mean amount of apples purchased at a grocery store daily is 108 apples. What is the new mean if the amount of apples purchased triples?

A. 108B. 216C. 324D. There will not be a

change.

2. Vanessa has 17 quarters, 8 dimes, 15 pennies, and 14 nickels in a piggy bank. Which of the following measures of central tendency will change if she spends 4 quarters to get a soft drink?

A. meanB. medianC. modeD. None will change.

3. The range of a set of data is 15. If each member of this set is multiplied by 2, what is the range of the new set of data?

A. 15B. 30C. 45D. 225

4. Julie has a data set for which the mean is 41. Each value of the data set is multiplied by 7. What is the mean for the new data set?

A. 287 B. 144 C. 41 D. 75. Manuel observes that

students in his classroom purchase drinks in the cafeteria as follows:

7 chocolate milks, 8 sport drinks, 5 waters, 4 white milks, and 4 juices

Two students are added to the class, and they both choose juice. How does that affect the median?

A. It will not affect the median. B. There is not a median C. The number of juice drinks will double. D. The median will be 6.

6. Mike runs an average of 2 miles per day. He is going to begin training for cross-country and wants to double the amount he runs per day. How will this affect the average amount he runs?

A. There will be no change in his average.

B. His distance will increase by 2 miles per day.

C. His average will double.D. His average distance

will increase by 3 miles.

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7. This set of data shows the scores that Tyler earned on his last 7 Algebra I tests. If the two lowest scores are dropped, which statement is true?

{97, 88, 93, 100, 85, 90, 80}

A. The mean will increase by 5 pts.

B. The median will increase by 3 pts.

C. The range will decrease by 8 pts.

D. The mean will increase by 7 pts.

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S-ID: Using a scatterplot, determine if a linear

relationship exists and describe the association between variables.

1. Which scatterplot best represents a positive linear relationship between the variables x and y?

A. B.

C. D.

2. What type of correlation is shown in the scatterplot below?

A. Positive correlationB. Negative correlationC. No correlationD. Random correlation

3. Which graph best shows a negative linear relationship between variables x and y?

A. B.

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C. D.

4. What type of correlation is shown in the scatterplot below?

A. Positive correlationB. Negative correlationC. No correlationD. Random correlation

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Generate the equation of a line that fits linear data and use it to make a prediction.

This chart shows the price of vegetable and fruit platters.

Platter Weight Price

1 lb. $2.10

2 lb. $3.60

3 lb. $5.10

4 lb. $6.60

5 lb. $8.10

1. Write an equation for the cost of a platter

that weighs w lbs.

A. P = .60w + 1.50B. P = (.60 + 1.50)wC.C. P = 1.50w + .60P = 1.50w + .60D. P = .60(w + 1.50)

2. How much would a 6 lb. platter cost?

A. $12.20B. $9.60C. $8.70D. $7.50

3. How much would a 10 lb. platter cost?

A. $15.00B. $16.50C. $13.50D. $15.60

A phone company charges $17.50 per month and 12¢ for each additional minute. The chart below shows the cost per 100 minutes.

Additional Minutes Cost

0 $17.50

100 $29.50

200 $41.50

300 $53.50

400 $65.50

4. Write a linear equation for the charge in terms of the number of minutes.

Let C = charge in dollars Let m = # of minutes

A. C = $17.50 + 12.00mB. C = $17.50m + 100

C. C = $17.50 + 0.12mD. C = ($17.50 + 0.12)m

5. What would be the monthly charge if the customer uses 700 additional minutes?

A. $113.50B. $101.50C. $89.50D. $77.50

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Determine theoretical and/or experimental probability of

an event and/or its complement including using relative frequency.

1. This table shows the number of students from each grade level who earned at least two A’s during the first nine weeks grading period.

Students with at least two A’s

Grade Level

Number of Students

9 32410 28311 26112 294

One student will be randomly selected from this group of students to win the grand prize in the academic incentive program. Which is closest to the probability that the student selected will be a freshman or sophomore?

A. O.24B. 0.28C. 0.48D. 0.52

2. Joe is playing a computer tic-tac-toe game. This table shows the results.

Tic-Tac-Toe ResultsResult Frequency

Joe Wins 8Computer Wins 7Tie (Cat) 9

What is the experimental probability that Joe will win?

A.

B.

C.

D.

3. Twenty-three colored slips of paper are placed in a box for a drawing. Anyone wearing a shirt that matches the slip drawn will be eligible for a prize. There are 9 blue slips, 7 red slips, 4 yellow slips, and 3 green slips.

What is the probability that the first slip of paper drawn from the box is not red?

A.

B.

C.

D.

4. This table shows the number of cans of soup in Debbie’s pantry.

Soup in Debbie’s Pantry

FlavorNumber

of Cans

Potato 2Vegetable 6Chicken Noodle 8Broccoli Cheese 4

If Debbie randomly selects a can of soup to fix for lunch, what is the probability that

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the can selected will be vegetable or broccoli cheese?

A. .

B.

C.

D

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