Algebra 1 Released Items

2000

Equations and Inequalities

A repairman estimated the cost of replacing a part in Mrs. James’ computer

would be at most $225. The estimate included $35 for the part, a

$40 service charge, and $30 per hour for labor. What is the maximum number of hours the repairman estimated for the

job?

1 2 3 4 5

25% 25%25%25%A. 4½B. 5C. 5½D. 6

What is the solution to the following equation?

4x – 1 = 2x + 5

1 2 3 4 5

25% 25%25%25%A. x = 1B. x = 2C. x = 3D. x = 4

If ¼x + 1 > 15/2, then —

1 2 3 4 5 x

> 26

x > 29

x > 13

/2

x > 28

25% 25%25%25%A. x > 26B. x > 29C. x > 13/2D. x > 28

The statement“If ½x = 5, then x = 10”

is justified by the —

1 2 3 4 5

25% 25%25%25%A. associative property of multiplication

B. commutative property of multiplication

C. addition property of equality

D. multiplication property of equality

What are the x- and y-intercepts of the line with equation 4x + 5y

= 40?

1 2 3 4 5

25% 25%25%25%A. x-intercept 10, y-intercept 8

B. x-intercept 8, y-intercept 10

C. x-intercept 10, y-intercept 8

D. x-intercept 8, y-intercept 10

Which graph best represents the line

y = ⅓x - 2?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

Which is an equation for the line that passes through the

origin and has a slope of 3/5?

1 2 3 4 5

25% 25%25%25%A. y = 3/5B. x = 3/5C. y = xD. y = 3/5x

What is the slope of the liney = 4x - 2?

1 2 3 4 54 2 ¼

-2

25% 25%25%25%A. 4B. 2C. ¼ D. -2

Which line has a y-intercept of 5 and an x-intercept of 1?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

Which equation best represents the

line shown?

1 2 3 4 5

25% 25%25%25%A. y = 2x + 2B. y = 2x + 1C. y = ½x + 2D. y = x + 2

What is the apparent slope of the line graphed below?

1 2 3 4 5

25% 25%25%25%

A. 5/2B. 2/5C. -2/5D. -5/2

The difference in cost between a large bag of chips and a small bag of chips was

90¢. Alicia bought 5 large bags and 3 small bags of chips for her party and spent $17.22. What was the cost of a

small bag of chips?

1 2 3 4 5

25% 25%25%25%

A. $5.74B. $2.49C. $2.15D. $1.59

Which is an equation for the line thatpasses through the points (3, 0) and

(0, 2)?

1 2 3 4 5 y

= -3/2x

+ 2

y = -2

/3x +

2

y = 2/

3x + 3

y = 3/

2x + 3

25% 25%25%25%

A. y = -3/2x + 2B. y = -2/3x + 2C. y = 2/3x + 3D. y = 3/2x + 3

The length of a rectangle is 6 meters more than its width. If the area is 135 square meters,

what is its width?

1 2 3 4 5

25% 25%25%25%A. 5 mB. 9 mC. 15 mD. 27 m

What is the solution to the system of

equations shown below?

1 2 3 4 5

25% 25%25%25%

A. B.

C.D.

Which is a solution to the followingequation?

x2 - 12x – 28 = 0

1 2 3 4 5

25% 25%25%25%A. x = 14B. x = 12C. x = 2D. x = 0

What is the slope of the line through (3, 2) and (1, 4)?

1 2 3 4 5

3 3/

2 2/

3 -3

/2

25% 25%25%25%

A. 3B. 3/2C. 2/3D. -3/2

Which is the solution set for the

equation below?x2 - 3x = 0

1 2 3 4 5 {0, 3

} {3

, 0}

{1, 3

} {2

, 3}

25% 25%25%25%A. {0, 3}B. {3, 0}C. {1, 3}D. {2, 3}

Expressions and Operations

What is the value of4m + 84m + 4

when m = 4?

1 2 3 4 5

25% 25%25%25%A. 0.5B. 1.2C. 1.7D. 2.0

Joe, who is the youngest member ofthe wrestling team at Northwood HighSchool, is 5 years less than one-half

the age of the coach. If the coach is n years old, which expression describes

Joe’s age?

1 2 3 4 5

25% 25%25%25%

A. ½n – 5B. 5 – ½nC. 2n + 5D. 2n - 5

Which expression is equivalent to

-4a(3a - 5b)?

1 2 3 4 5 -1

2a2 +

20ab

-12a

2 - 20

ab

-12a

2 + 20

a

-12a

2 + 9a

b

25% 25%25%25%A. -12a2 + 20abB. -12a2 - 20abC. -12a2 + 20aD. -12a2 + 9ab

Which is equivalent to (2a + 3b - 2c) + (3a - 4b - c) + (a - 5b +

4c)?

1 2 3 4 5

5a - 6

b + c

6a - 6

b - c

6a - 6

b + c

6a2 -

6b2 +

c2

25% 25%25%25%A. 5a - 6b + cB. 6a - 6b - cC. 6a - 6b + cD. 6a2 - 6b2 + c2

Given the models below, which figure represents (x + 2)(x +

3)?

1 2 3 4 5

25% 25%25%25%A. B.

C. D.

What is √108 written in simplest

radical form?

1 2 3 4 5

25% 25%25%25%A. 2√27B. 3√12C. 6√3D. 18√3

Which is equivalent to the expression shown below?

32 · 3-3

1 2 3 4 5

25% 25%25%25%A. -3B. -1C. 1/769D. 1/3

When simplified, (2x2y3)4 equals —

1 2 3 4 5 8x

6y7

8x8y

12

16x6

y7

16x8

y12

25% 25%25%25%A. 8x6y7

B. 8x8y12

C. 16x6y7

D. 16x8y12

What are factors of 2x2 + 9x + 9?

1 2 3 4 5 (x

+ 9)(

x + 1)

(x - 3

)(2x -

3)

(2x +

3)(x

- 3)

(2x +

9)(x

+ 1)

25% 25%25%25%A. (x + 9)(x + 1)B. (x - 3)(2x - 3)C. (2x + 3)(x - 3)D. (2x + 9)(x + 1)

x2 - 81y2 = ?

1 2 3 4 5 (x

+ 3y

)(x - 2

7y)

(x - 9

y)(x -

9y)

(x +

9y)(x

- 9y)

(x - 3

y)(x +

27y)

25% 25%25%25%A. (x + 3y)(x - 27y)

B. (x - 9y)(x - 9y)C. (x + 9y)(x - 9y)D. (x - 3y)(x +

27y)

What is the greatest common monomial factor of

3x3 + 6xy + 9x2 + 12x2y2?

1 2 3 4 5

25% 25%25%25%A. x3y2

B. 3x2y2

C. 3xD. 3

Which is closest to the value of q if

q = √177 - √256 ?

1 2 3 4 529

.324

.5 -1.3

-2.7

25% 25%25%25%A. 29.3B. 24.5C. -1.3D. -2.7

Relations and Functions

The numbers in the table follow a linear pattern. What is the missing y

value?

1 2 3 4 5

25% 25%25%25%

A. 182B. 180C. 176D. 172

What is the range of the relationplotted on the graph?

1 2 3 4 5

25% 25%25%25%

A. {-2, -1, 0, 1, 2}B. {-2, -1, 0, 2}C. {-2, -1, 1, 2}D. {-2, -1, 0, 1, 2, 3}

The ordered pairs in the sets shown below are of the form (x, y). In which set of ordered pairs is y a function of

x?

1 2 3 4 5

25% 25%25%25%A. {(6, 12), (1, 8), (1, 13)}B. {(0, 2), (0, 4), (4, 0)}C. {(7, 1), (7, 2), (7, 3)}D. {(1, 3), (2, 4), (3, 5)}

If y varies directly as x, what is the equation for the direct variation

shown in the table below?

1 2 3 4 5

25% 25%25%25%

A. y = 1/7xB. y = 7xC. y = 7/xD. 7y = x

Which of these equations is a direct

variation?

1 2 3 4 5

25% 25%25%25%A. y = -8B. y = -8xC. y = -8x + 1D. y = -8x - 1

What is the range of the function

ƒ(x) = ½x - 2 when the domain is

{2, 4, 6}?

1 2 3 4 5

25% 25%25%25%A. {8, 12, 16}B. {0, 1, 2}C. {1, 0, 1}D. {-1, 0, ½}

Which is a zero ofƒ(x) = x2 - 15x + 54?

1 2 3 4 5

25% 25%25%25%A. 3B. 5C. 9D. 15

If ƒ(x) = 7(x - 2) + 4(x + 1),what is ƒ(2)?

1 2 3 4 59 10 11 12

25% 25%25%25%A. 9B. 10C. 11D. 12

The cost of fabric varies directly with the amount of fabric

purchased. If1 2/3 yards of fabric cost

$10.00, how much would 4½ yards cost?

1 2 3 4 5 ... ... ... ...

25% 25%25%25%A. $45B. $27C. $24D. $14

If m varies directly as p, and m = 5

when p = 7, what is the constant of variation?

1 2 3 4 5

25% 25%25%25%A. 35B. 12C. 7/5D. 5/7

The miles per gallon, m, of an experimental car is given by

where s is the car’s speed in miles per hour. What is the car’s miles per gallon when its speed is 100 miles per hour?

1 2 3 4 5

25% 25%25%25%A. 10 mpgB. 30 mpgC. 45 mpgD. 50 mpg

Statistics

What

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.

The stem-and-leaf plots show the number of miles per gallon a family’s car and truck

averaged over the past few months. What is the difference in the median number of miles per

gallon for the two vehicles?

1 2 3 4 5

25% 25%25%25%

A. 7B. 9C. 10D. 11

Tommy and Jeremy are pitchers for the baseball team and are being evaluated by the coach. The

speeds in miles per hour of each of their practice pitches are shown below. Which of the

following statements is true regarding their performances?

1 2 3 4 5

25% 25%25%25%

A. Tommy has a lower mean speed.

B. Tommy has a greater range of speeds.

C. Tommy has a lower median speed.

D. Jeremy’s median speed is higher than Tommy’s mean speed.

The box-and-whisker plot shows the heights in centimeters of high school seniors compared to their heights as freshmen. Using the median as

the measure,which is closest to the difference in heights between the freshman and senior years?

1 2 3 4 5

25% 25%25%25%

A. 0 cmB. 5 cmC. 10 cmD. 15 cm

The table shows the life expectancy of a person related to the year of birth. Which equation would

give the bestestimate of life expectancy, given the year of

one’s birth?

1 2 3 4 5

25% 25%25%25%

A. y = 0.45x + 919B. y = 0.45x - 819C. y = 0.40x + 893D. y = 0.40x - 716

The table below shows the number of boxes of cookies sold by members of two softball teams,

the Hawks and the Tigers. What is the difference in the mean number of cookies sold

by the two teams?

1 2 3 4 5

25% 25%25%25%A. 2.5B. 4.5C. 6D. 14

Which scatterplot most likely has a line of best fit represented by y =

3x + 1?

1 2 3 4 5

25% 25%25%25%

A. B.

C. D.