Formative Assessment 2 - Somerset Canyons...2014/05/08 · Algebra 1 End of Course Formative...

Everglades K12 Florida Mathematics Standards Algebra 1 EndofCourse Formative Assessment 2

© 2010 Everglades K‐12 Publishing, Inc. All rights reserved. page 1

Algebra 1 EndofCourse Formative Assessment 2

Select the best answer to the Multiple Choice questions. Write one character per box for the Fillin Response questions.

1. Fillin Response

What is the solution of the equation below?

4(1 – x) + 3x = ‐2(x + 1)

2. Fillin Response

The set A equals {1, 2, 3, 4}. The set B equals {2, 4, 6, 8}.

How many elements are in the set A

�

× B?

3. Which is an equation in standard form that contains the points (2, 5) and (4, 8)?

A. 2x – 3y = 4

B. 2x + 3y = ‐4

C. 3x + 2y = 4 D. 3x – 2y = ‐4

4. Two cars start from the same point at the same time and go in opposite directions. One car travels 88 kilometers per hour and the other at 72 kilometers per hour. Which inequality below shows the minimum hours, h, that will have passed when the cars are at least 688 kilometers apart?

F. h ≥ 4.3

G. h ≥ 4.59

H. h ≥ 5.28

I. h ≥ 43

5. Fillin Response

A function rule is given below.

t(c) = 3c + 5

Find c when t(c) = ‐16.



6. Fillin Response

From her house, Ann drove to her grandmother’s at an average speed of 60 miles per hour. She returned over the same route at average speed of 45 miles per hour. If Ann spent 7 hours traveling, how many miles is Ann’s grandmother’s house from her house?

7. What is the x‐coordinate of the ordered pair solution of the system below?

3x = 2y – 6 x = y – 1

A. ‐4 B. ‐3

C. 3

D. 4

8. Fillin Response


�

6x −4

=5x −2

9. If x ≠ ‐8, which of the following shows the expression below in simplest form?

�

3x2 −192x +8

F. 3(x + 64)

G. 3(x – 8)

H. 3(x – 64) I. 3(x + 8) 10. Fillin Response

Charles has $135 in the bank and he plans to save $5 per week. His sister Charlotte has $90 in the bank and she plans to save $10 per week. In how many weeks will Charlotte have the same amount of money in the bank as Charles?

The equation below models the situation, where x represents the number of weeks each has saved money.

135 + 5x = 90 + 10x

11. Solve the equation below for y.

x + 2y = 18

A. y =

�

−12x + 9

B. y = 2x + 9

C. y =

�

12x + 18

D. y = ‐2x + 18



12. Fillin Response

When the expression

�

(a2b3)3(ab)−2

ab is simplified, it is of

the form ambn. What is the value of (m + n), the sum of the exponents?

13. Brian’s car has a 20‐gallon gas tank. He estimates his car used about 2 gallons of gas per hour on a long highway trip. The function f(t) = 20 – 2t models the gallons of gas, f(t), in the car’s tank, where t is the time in hours. The graph of f(t) is given below.

Which of the following best describes the domain of f(t)?

F. 0 ≤ x ≤ 10

G. 0 ≤ y ≤ 20

H. 10 ≤ y ≤ 20

I. 0 ≤ y ≤ 10

14. Which of the following shows the graph of 3x – y = 4?

A.

B.

C.

D.

! " # $ %& %!

"

$

%!

%#

!&

&

'()*+,(-,./012

3

4



15. Fillin Response

Bill had $25,000 to invest. He invested some at 3% simple interest and the rest at 3.5% simple interest. He earned $787.50 interest in the first year. How many dollars did he have invested at 3%?

16. A line is graphed as shown.

Which of the following is the slope of the line?

F.

�

−25

G.

�

−35

H.

�

−53

I.

�

−52

17. Factor 16x2 – 24x + 9 completely.

A. (16x – 3)(x – 3) B. (8x – 3)(2x – 3)

C. (4x + 3)2 D. (4x – 3)2

18. Which of the following functions

is shown in the graph below?

F. f(x) = x2 + 4x + 4

G. f(x) = x2 – 2x + 4 H. f(x) = x2 – 4x + 4

I. f(x) = x2 + 2x + 4



19. Fillin Response

Six grapefruit cost as much as ten oranges. The cost of a dozen grapefruit and two dozen oranges is $33. How many cents does one orange cost?

20. Simplify the expression below.

(Assume all variables are positive Real numbers.)

�

−5 12m + 12

48m

A.

�

−3 3m

B.

�

−6 3m

C.

�

−8 3m

D.

�

−9 3m

21. If v ≠ 0, w ≠ 0, which of the following is a simplified form of the expression below?

�

10v14w19 −20v16w15 +30v18w14

10v14w14

F.

�

w5 −2v2w +3v4

G.

�

−10v2w +20v4

H.

�

10v6w

I.

�

2v6w6

22. Jordan used the Quadratic Formula to solve the equation below.

3x2 + 1 = 4x Which of the following shows a

step in solving the equation?

A. x =

�

−2±13

B. x =

�

2±13

C. x =

�

2±23

D. x =

�

−2±23



23. Fillin Response

The two right triangles below are similar.

In meters, what is the length of

the shorter leg of the unknown right triangle?

24. The expression

(x2y4)2(x4y‐3)0(xy2)‐3 is equivalent to which of the following?

F. x‐1 G. x3

H. x2y3

I. xy2

25. Fillin Response

Multiply and simplify the expression below.

3x(2x – 1) – 3(x – 4)(x + 2)

What is the coefficient of the x2 term?

26. At Taylor’s school, a student must have an average of at least 75% to get a “C” in a course. Taylor has scores of 71%, 82%, and 76% on her Algebra 1 tests. What minimum score must she have on her fourth test to guarantee a “C” in the course?

A. 71% B. 74%

C. 75%

D. 76% 27. Fillin Response

A line contains the points (‐1, ‐1) and (3, ‐3). What is the x‐coordinate of the x‐intercept of the line?

28. The universal set U is represented

below.

U = {c, e, f, h, j, m, p} Subsets X, Y, and Z are defined

below.

X = {f, j, m, p} Y = {c, e, f, m}

Z = {f, m, p}

Which set equals (Z

�

∩ Y)′

�

∩ X?

F. {j}

G. {p} H.

�

∅

I. {j, p}

!"#

$"#

%$&"'"()"#

%&)"#



29. Which of the following represents the equation of the graphed line?

A. x + 4 = 0

B. x – 4 = 0

C. y + 4 = 0 D. y – 4 = 0


�

( 5 + 6)( 5− 6)

F.

�

30

G.

�

2 5 +6 H. ‐1

I. ‐11

31. Fillin Response

What is the greatest element in the range of f(x) = x2 – 7 for the domain {‐2, ‐1, 0}?

32. Which of the following relations is NOT a function?

A. {(2, 1), (3, 1), (4, 1), (5, 1)}

B. {(0, 0), (‐1, 1), (‐2, 4), (‐3, 9)} C. {(‐1, ‐1), (0, 0), (1, 1), (2, 2)}

D. {(3, 0), (3, 1), (3, 2), (3, 3)}

33. There are 32 times as many

students in Bay High School as teachers. When all the teachers and students are seated in the 2200‐seat football stadium, 121 seats are unoccupied. How many students are in Bay High School?

F. 630

G. 1008 H. 2016

I. 2079

34. Which expression represents the

area of the shaded region of the rectangle?

A. 4x2 + x – 20

B. 2x2 – x + 20 C. 2x2 + x – 20

D. 4x2 – 20



35. Illinois and Pennsylvania each have 6 fewer electoral votes than Florida, while California has 1 more than twice Florida. The total number of electoral votes allotted to these four states is 124.

The equation below represents the situation, where x is the number of electoral votes allotted to Florida.

x + 2(x – 6) + (2x + 1) = 124 How many electoral votes does

Florida have?

F. 55 G. 31

H. 27 I. 21

36. Larry solved the quadratic

equation below by factoring.

x2 = 13x + 30 Which of the following shows a

step in solving the equation?

A. (x + 3)(x – 10) = 0

B. x(x – 13) = 30

C. (x + 6)(x – 5) = 0 D. (x + 2)(x – 15) = 0

37. Which function rule describes the function in the table below?

x 1 2 3 4 y 2 5 8 11

F. f(x) = 4x – 2

G. f(x) = 5 – 3x

H. f(x) = ‐3x + 1 I. f(x) = 3x – 1

38. Fillin Response

Line r and point T are given as graphed.

What is the slope of a line through

point T and perpendicular to line r?



39. Fillin Response

The lead chef at a local cooking school recorded the number of people who signed up for three types of cooking classes last month.

Based on the diagram, how many people signed up for breakfast, lunch, and

dinner classes?

40. Solve the equation below for h.

V = πr2h

A. h = V ‐ πr2

B. h =

�

V −πr2

C. h =

�

V

πr2

D. h =

�

Vr2

π

!"#$%&$'(

)*++#"

,-+./

! "#$

#%

&

'(

#)

011%*+2304$''#'



For 41 – 43: Researchers believe that the heights of adult children can be predicted from the height of their same gender parent. For a project in his college biology class, Max collected the heights of several male classmates and their fathers’ heights. He recorded the data on the scatter plot below. He has drawn a line of best fit in the scatter plot.

41. Fillin Response

What is the slope of the line of best fit, using the identified points in the scatter plot?

42. Which statement best describes the meaning of the slope as a rate of change for

this line of best fit?

F. It represents how many inches shorter a son is than his father. G. It represents how tall the son is for each inch of height of the father.

H. It represents how many times taller a father is than his son. I. It represents how many times shorter a father is than his son.

43. Fillin Response

Max found the equation of the line of best fit. Based on this data, in inches, how tall will the adult son be, if the father is 72 inches tall?

!" !! !# $% $& $"

'()*+,-./0+12*)3///////14/145*+.

674-./0+12*)3////14/145*+.

!"

!!

!#

$%

$&

$"

%

8$&3/$9:&;

8!"3/!":&;

0+12*)./7</'()*+,./(4=/674.



44. Fillin Response

A line has equation

y + 4 =

�

12(x – 2). What is the

x‐coordinate of its x‐intercept?


�

6(2 3 +6)

A.

�

18 2 +6 6

B.

�

24 2

C.

�

6 2 +6 6

D.

�

32 3

46. If r ≠ 0, t ≠ 0, which of the following is a simplified form of the expression below?

�

9r10t15 +6r8t7

3r4t6

F.

�

5r10t10

G.

�

9r10t10

H.

�

3r6t9 +2r4t

I.

�

6r6t9 +3r4t

47. Fillin Response


�

35(x −4)+

23(x −2)=

25x −2

48. Fillin Response

Last summer Ethan had a window washing business. He charged $3.50 to wash a window. He bought $55 in supplies, which lasted him 3 weeks.

The function P(w) = 3.5w – 55 models his profit, if he washes w windows.

How many windows did he wash in a 3‐week period, if his profit was $305.50?

49. Fillin Response

In chemistry class, 10 liters of a 15% alcohol solution must be mixed with a 75% alcohol solution to get a 50% alcohol solution. How many liters of the 75% alcohol solution should be added?



50. Which graph shows the solution to the inequality below?

‐7 < 5 – 4x

A.

B.

C.

D.

51. Fillin Response

Mayra has a collection of 15 coins, all dimes and quarters, totaling $2.55. The set of equations below represents the situation, where d is the number of dimes Mayra has and q is the number of quarters she has.

d + q = 15 10d + 25q = 255 How many quarters does Mayra

have?

52. Fillin Response

Evaluate 3‐1 + 30 + 32.

53. Fillin Response

The sum of the squares of two consecutive negative even integers is 100. What is the value of the larger of these two negative even integers?

54. Fillin Response


0.03(x + 10) + 0.04(x – 5) = 2.2

!

!"

!

!



55. The isosceles triangle pictured below has equal sides of length 2x2 + 5 and base of length (3x + 2)(x – 1).

Which of the following expressions is equivalent to the perimeter of the isosceles triangle?

F. 7x2 + 8 G. 7x2 – x + 8

H. 8x2 + 11 I. 7x2 – x + 3

56. Factor 45y2 – 60y + 20 completely.

A. (15y – 10(3y – 2)

B. 5(3y – 2)2 C. 5(9y – 2)(y – 2)

D. 5(3y + 2)(3y – 2)

57. Parallelogram ABCD is graphed as shown below.

Which of the following best represents the line that contains

�

AB?

F. 2x + 4y = 1 G. x + 2y = 2

H. 2x – y = 1

I. x – y = 2

58. Mrs. Gonzalez is buying school

supplies for her children. She can buy 4 notebooks for $2.75. To the nearest cent, how much will 7 notebooks cost?

A. $4.81

B. $6.88

C. $9.82 D. $10.18

!"#$



59. Galfond has $28 to spend on cat and dog toys for the animal shelter. A cat toy costs $1.40 each and a dog toy costs $2.80 each. The equation below can be used to find how many toys of each type Galfond can buy, where x is the number of cat toys and y is the number of dog toys.

1.4x + 2.8y = 28

Which of the following is the graph of this equation?

F.

G.

H.

I.



60. The universal set only contains sets X, Y, and Z. These sets are related as shown in the Venn diagram below.

Which set represents Y

�

∩ (X′

�

∩ Z′)?

A. {3, 8} B. {8}

C. {4, 8}

D. {3, 4, 8, 9}

!

"

#

!" #

$

%

&

'

(

)

Formative Assessment 2 - Somerset Canyons...2014/05/08 · Algebra 1 End of Course Formative...

Documents

Transcript of Formative Assessment 2 - Somerset Canyons...2014/05/08 · Algebra 1 End of Course Formative...