Free Printable Algebra 1 Fall ACP Cumulative Review

1.

The graph of a linear function is shown. Which graph represents this function?

a)

$y=\frac{4}{3}x-3$

b)

$y=\frac{3}{4}x+4$

c)

$y=-\frac{3}{4}x-3$

d)

$y=-\frac{3}{4}x+4$

2.

The graph of a linear function is shown. Which graph represents this function?

a)

$y=\frac{1}{3}x-3$

b)

$y=\frac{1}{3}x-9$

c)

$y=-\frac{1}{3}x-3$

d)

$y=-\frac{1}{3}x-9$

3.

What value of p makes the equation true?

$-5p-\left(-7-4p\right)=-2\left(3p-4\right)$

a)

3

b)

5

c)

$\frac{1}{3}$

d)

$\frac{1}{5}$

4.

What value of g makes the equation $0.75\left(g+20\right)=2+0.5\left(g-2\right)$ true?

a)

64

b)

-64

c)

56

d)

-56

5.

What is the value of x in this system of equations?

$y-x=-13$

$y=-\frac{1}{2}x+5$

a)

(12, -1)

b)

(-1, 12)

c)

12

d)

-1

6.

What is the value of x in this system of equations?

$y+2x=-1$

$y=\frac{1}{2}x+4$

a)

(-2, 3)

b)

(3, -2)

c)

$-\frac{13}{2}$

d)

-2

7.

Isaiah went shopping for deli meat to make sandwiches. During his first trip he bought 3 pounds of ham and 3 pounds of turkey for $27. During a second trip he bought 4 pounds of ham and 2 pounds of turkey for $28. This situation is represented by the system

3x + 3y = 27

4x + 2y = 28

Where x is the cost of a pound of ham and y is the cost of a pound of turkey. How much does a pound of each meat cost?

a)

Ham cost $5/lb and turkey $4/lb

b)

Ham cost $3/lb and turkey $4/lb

c)

Ham cost $4/lb and turkey $3/lb

d)

Ham cost $4/lb and turkey $5/lb

8.

Simon went shopping for school uniforms. During his first trip he bought 2 polos and 4 khakis for $80. During a second trip he bought 3 polos and 2 khakis for $60. This situation is represented by the system

2x + 4y = 80

3x + 2y = 60

Where x is the cost of a polo and y is the cost of khakis. How much does each polo and each khaki cost?

a)

Polos cost $10 and khakis cost $15.

b)

Polos cost $15 and khakis cost $10.

c)

Polos cost $12 and khakis cost $16.

d)

Polos cost $16 and khakis cost $12

9.

Which graph represents the inequality $y>x+4$ ?

a)

b)

c)

d)

10.

Which graph represents the solution set of $y\ge-\frac{7}{2}x-2$ ?

a)

b)

c)

d)

11.

The function y = 4 + 0.9(x – 2) is used to determine the cost in dollars of frozen yogurt with x toppings. What is the rate of change in dollars with respect to the number of toppings?

a)

0.90

b)

4

c)

-2

d)

1.8

12.

The function y = 15 + 1.25(x – 3) is used to determine the cost in dollars of a pizza with $x$ toppings. What is the rate of change in dollars with respect to the number of toppings?

a)

15.00

b)

1.25

c)

12

d)

3.75

13.

What is the equation represented in the table?

a)

$y=\frac{5}{3}x+2$

b)

$y=\frac{3}{5}x-2$

c)

$y=\frac{5}{3}x-2$

d)

$y=\frac{3}{5}x+2$

14.

What is the equation represented in the table?

a)

$y=\frac{4}{5}x+8$

b)

$y=\frac{4}{5}x-8$

c)

$y=-\frac{4}{5}x+8$

d)

$y=-\frac{4}{5}x-8$

15.

The table below shows some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?

a)

$\frac{2}{9}$

b)

$-\frac{9}{2}$

c)

$\frac{9}{2}$

d)

$-\frac{2}{9}$

16.

The table below shows some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?

a)

$\frac{4}{3}$

b)

$\frac{3}{4}$

c)

$-\frac{3}{4}$

d)

$-\frac{4}{3}$

17.

What is the slope of the line that passes through the point (-3, 5) and (3, 12)?

a)

$-\frac{7}{6}$

b)

$\frac{7}{6}$

c)

$-\frac{6}{7}$

d)

$\frac{6}{7}$

18.

What is the slope of the line that passes through the point (8, -6) and (15, 4)?

a)

$-\frac{10}{7}$

b)

$\frac{10}{7}$

c)

$-\frac{7}{10}$

d)

$\frac{7}{10}$

19.

The amount of water remaining in a leaking bucket is graphed below. What is the x-intercept of this function?

a)

(0, 80)

b)

(80, 0)

c)

(16, 0)

d)

(0, 16)

20.

The amount of student and adult tickets sold at the theater are represented in the graph. What is the x-intercept of this function?

a)

(140, 0)

b)

(0, 140)

c)

(0, 70)

d)

(70, 0)

21.

What is the y-intercept for the graph of 6x – 10y = 180?

a)

(45, 0)

b)

(0, 45)

c)

(-18, 0)

d)

(0, -18)

22.

What is the y-intercept for the graph of 10x – 14y = 336?

a)

(0, -24)

b)

(-24, 0)

c)

(56, 0)

d)

(0, 56)

23.

What is the range of this graph?

a)

0 ≤ y ≤ 4

b)

0 ≤ y ≤ 2

c)

{0, 1, 2}

d)

{0, 2, 4}

24.

What is the domain of this graph?

a)

0 ≤ y ≤ 4

b)

0 ≤ y ≤ 2

c)

{0, 1, 2}

d)

{0, 2, 4}

25.

The graph of a function is shown on the coordinate grid. What is the range of this function?

a)

-8 ≤ x < 5

b)

-8 ≤ y < 5

c)

-4 ≤ y < 3

d)

-4 ≤ x < 3

26.

The graph of a function is shown on the coordinate grid. What is the range of this function?

a)

-6 < y ≤ 3

b)

3 ≤ y < -6

c)

-6 ≤ y < 3

d)

3 ≤ y < -6

27.

The graph of a function is shown on the coordinate grid. What is the domain of this function?

a)

-9 ≤ x < 2

b)

-9 < x ≤ 2

c)

-6 ≤ x < 3

d)

-6 < x ≤ 3

28.

The graph of a function is shown on the coordinate grid. What is the domain of this function?

a)

-8 ≤ x < 5

b)

-8 ≤ y < 5

c)

-4 ≤ y < 3

d)

-4 ≤ x < 3

29.

Ciara opened a savings account. The graph shows the balance, in dollars, from the number of deposits, x. What is the range of this situation?

a)

{0, 1 , 2, 3, 4}

b)

{0, 150, 250, 350, 450}

c)

0 ≤ y ≤ 450

d)

0 ≤ y ≤ 4

30.

The graph shows the linear relationship between the number of gallons of paint used and the total area painted. What is the range of this situation?

a)

{0, 1 , 2, 3, 4}

b)

{0, 400, 800, 1200, 1600}

c)

0 ≤ y ≤ 4

d)

0 ≤ y ≤ 1600

31.

Khloe is opening a yoga studio. Members will be charged a monthly fee of $30 and pay an additional $2 per class. If x represents the number of classes taken, which equation is used to determine y, the amount members will pay each month.

a)

y = 30x

b)

y = 2x

c)

y = 30x + 2

d)

y = 2x + 30

32.

Margaret is opening a cycling studio. Members will pay a monthly fee of $25 plus an additional $4 per class. If x represents the number of classes taken, which equation is used to determine y, the amount members pay each month.

a)

y = 4x

b)

y = 4x + 25

c)

y = 25x

d)

y = 25x + 4

33.

What is the equation of the line that passes through the point (7, -4) and has a slope of zero?

a)

x = -4

b)

x = 7

c)

y = -4

d)

y = 7

34.

What is the equation of the line that passes through the point (2, -4) and has an undefined slope?

a)

y = -4

b)

y = 2

c)

x = 2

d)

x = -4

35.

For the bake sale Bridget raised $40 and Sade raised $65. The table below shows the number of cakes and pies that each girl sold.

Which system of equations is used to find the amount of money that each girl raised?

a)

2c + 3p = 40

5c + 6p = 65

b)

2c + 3p = 65

5c + 6p = 40

c)

3c + 2p = 40

6c + 5p = 65

d)

3c + 2p = 65

6c + 5p = 40

36.

Oscar received $48 and Bryan received $56 for the pants and shirts they sold to a resale store. The table below shows the number of pants and shirts that each boy sold.

Which system of equations is used to find the amount of money they each received?

a)

3p + 6s = 56

8p + 4s = 48

b)

6p + 3s = 48

4p + 8s = 56

c)

6p + 3s = 56

4p + 8s = 48

d)

3p + 6s = 48

8p + 4s = 56

37.

The value of y is directly proportional to the value of x. If y=30 when x=12, what is the value of x when y=20?

a)

15

b)

3

c)

8

d)

75

38.

The value of y is directly proportional to the value of x. If y=12 when x=15, what is the value of x when y=40?

a)

12

b)

32

c)

43

d)

50

39.

Chuckie and Tommy have a total of 25 toy cars. Chuckie has 7 more than three times the number of toy cars that Tommy has. Which system of equations models this situation if Chuckie has c toy cars and Tommy has t toy cars?

a)

c = 7t + 3

c + t = 25

b)

c = 3t + 7

c + t = 25

c)

r = 7c + 3

c + t = 25

d)

r = 3t + 7

c + t = 25

40.

Sebastian and Moises have a total of 110 Pokémon cards. Sebastian has 20 more than three times the number of Pokémon cards that Moises has. Which system of equations models this situation if Sebastian has s Pokémon cards and Moises has m Pokémon cards.

a)

m = 2s + 20

s + m = 110

b)

m = 20s + 2

s + m = 110

c)

s = 2m + 20

s + m = 110

d)

m = 20s + 2

s + m = 110

41.

The graph shows the length of a burning candle.

Based on the graph, what is the rate of change for this situation?

a)

-10

b)

10

c)

$-\frac{1}{10}$

d)

$\frac{1}{10}$

42.

The graph shows the distance a butterfly migrates. Based on the graph, what is the rate of change for this situation?

a)

-6

b)

6

c)

$-\frac{1}{6}$

d)

$\frac{1}{6}$

43.

The total cost in dollars to buy uniforms for the players on the wrestling team can be found using the function c = 24.50u + 10.50, where u is the number of uniforms bought. If there are at least 7 players but not more than 11 players on the wrestling team, what is the domain of the function for this situation?

a)

{7, 8, 9, 10, 11}

b)

{182, 206.50, 231, 255.50, 280}

c)

0 < u ≤ 11

d)

0 < c ≤ 280

44.

The total cost in dollars to buy uniforms for the players on the volleyball team can be found using the function c = 34.95u + 6.25, where u is the number of uniforms bought. If there are at least 8 players but not more than 12 players on the volleyball team, what is the domain of the function for this situation?

a)

0 < u ≤ 12

b)

0 < c ≤ 425.65

c)

{8, 9, 10, 11, 12}

d)

{285.85, 320.80, 355.75, 390.70, 425.65}

45.

A car rolls 9.6 inches when the ramp is 6 inches tall. Which direct variation equation describes the relationship between the height of the ramp, h, and the distance the car rolls, d.

a)

d = 57.6h

b)

d = 1.6h

c)

d = 0.625h

d)

d = 9.6h

46.

A car rolls 5.4 inches when the ramp is 3 inches tall. Which direct variation equation describes the relationship between the height of the ramp, h, and the distance the car rolls, d.

a)

d = 0.56h

b)

d = 5.4h

c)

d = 1.8h

d)

d = 16.2h

47.

Line $l$ contains the points (3, 5) and (-6, -10). What is the equation of the line parallel to line l that contains the point (-4, 6)?

a)

$y-6=\frac{5}{3}\left(x+4\right)$

b)

$y+6=\frac{5}{3}\left(x-4\right)$

c)

$y+6=-\frac{5}{3}\left(x-4\right)$

d)

$y-6=-\frac{5}{3}\left(x+4\right)$

48.

Line $l$ contains the points (-6, -8) and (-3, -4). What is the equation of the line parallel to line l that contains the point (-2, 5)?

a)

$y-5=\frac{4}{3}\left(x+2\right)$

b)

$y-5=-\frac{3}{4}\left(x+2\right)$

c)

$y+5=\frac{4}{3}\left(x-2\right)$

d)

$y+5=-\frac{3}{4}\left(x-2\right)$

49.

What is the equation of the line that passes through the point (-2, -4) and is perpendicular to the line y = 2x + 9?

a)

$y=2x$

b)

$y=-\frac{1}{2}x-5$

c)

$y=-2x-8$

d)

$y=-\frac{1}{2}x-3$

50.

What is the equation of the line that passes through the point (-8, -5) and is perpendicular to the line y = 4x + 7?

a)

$y=-\frac{1}{4}x-7$

b)

$y=-\frac{1}{4}x-3$

c)

$y=4x+27$

d)

$y=-4x-37$

Algebra 1 Fall ACP Cumulative Review

Total questions: 50

Worksheet time: 1hrs 24mins

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