Free Printable Algebra 1 Quarter 2 ACP Review

1.

Andrew owns a plumbing company. The table shows the total amount charged based on the number of hours it takes to complete a job. Which equation best represents this situation?

a)

y = 45x + 60

b)

y = 60x + 45

c)

y = 45x

d)

y = 105x

2.

Which situation is represented by the function f(x) = 65 + 0.24x ?

a)

An equipment rental company charges $65 a day plus $24 for the damage fees.

b)

A shoe salesperson earns 24% of all sales over $65.

c)

A cell phone company charges $65 plus $0.24 per minute used.

d)

A person can download 65 songs for free, then they must pay $0.24 per song after that.

3.

Line m is shown on the coordinate grid. What is the equation of the line that contains point ( 3, 2 ) and parallel to line m?

a)

$y=-3x+9$

b)

$y=3x-12$

c)

$y=-\frac{1}{3}x+5$

d)

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

4.

What is the equation of the line that passes through the point ( − 5, -10 ) and is parallel to the line $y=\frac{4}{5}x+1$ ?

a)

$y=-\frac{4}{5}x+3$

b)

$y=-\frac{4}{5}x-6$

c)

$y=\frac{4}{5}x-6$

d)

$y=\frac{4}{5}x+3$

5.

What is the equation of a line parallel to 2x − 8y = 3 that contains the point (8, –11)?

a)

x − 4y = 52

b)

x − 4y = −52

c)

4x − y = 43

d)

4x + y = 21

6.

What is the equation of a line perpendicular to $y=-\frac{3}{2}x+7$ that contains the point (6,12)

a)

$y=\frac{2}{3}x+8$

b)

$y=\frac{2}{3}x-8$

c)

$y=-\frac{3}{2}x+24$

d)

$y=-\frac{3}{2}x+21$

7.

What is the equation of the line that is perpendicular to 3x − 6y = 2 and contains the point (−2, − 5) ?

a)

$y+5=\frac{1}{2}\left(x+2\right)$

b)

$y-5=\frac{1}{2}\left(x-2\right)$

c)

$y+5=-2\left(x+2\right)$

d)

$y-5=-2\left(x-2\right)$

8.

The table contains some points on the graph of a linear function. What is the equation of a line that contains the point (–12, 12) and is

perpendicular to the function represented by the table?

a)

3x + 4y =12

b)

3x − 4y=−84

c)

4x + 3y =−12

d)

4x − 3y = −84

9.

What is the equation of the line that passes through the point (−4, 8) and has a slope of zero?

a)

x = −4

b)

y = −4

c)

x = 8

d)

y = 8

10.

What is the equation of the line that passes through the point (–1, –9) and has an undefined slope?

a)

x = -1

b)

y = -1

c)

x = -9

d)

y = -9

11.

The theater arts students sold 500 tickets to the spring musical and collected a total of $3,160. Adult tickets sold for $8.00 and student tickets sold for $5.00. Which system of equations is used to find a , the number of adult tickets and s , the number of student tickets sold?

a)

a + s = 3160

5a + 8s = 500

b)

a + s = 3160

8a + 5s = 500

c)

a + s = 500

5a + 8s = 3160

d)

a + s = 500

8a + 5s = 3160

12.

After graduation, Duke’s grandfather spent $158.81 taking the entire family out to eat at a buffet. Adults ate for $8.99 and children ate for $6.99. The number of adults was one more than twice the number of children. Which system of equations is used to find a , the number of adults, and c , the number of children in Duke’s family?

a)

8.99a + 6.99c = 158.81

a = 2c + 1

b)

6.99a + 8.99c = 158.81

c= 2a + 1

c)

8.99a + 6.99c = 318.62

c= 2a + 1

d)

8.99a − 6.99c = 158.81

a = 2c + 1

13.

Robert has $60 in his savings account and he deposits $30 each week. The graph shows the amount of money his sister Deanna has in her savings account. Which system of equations is used to find x , the number of weeks it will take for them to have the same amount, y , in their savings accounts?

a)

y = 60x + 30

y = 20x + 40

b)

y = 60x + 30

y = 20 + 40x

c)

y = 60 + 30x

y = 20x + 40

d)

y = 60 + 30x

y = 20 + 40x

14.

Which graph represents the solution set of 2x − 3y > 12 ?

a)

b)

c)

d)

15.

Which graph represents the inequality y − 3 ≥ x ?

a)

b)

c)

d)

16.

Which ordered pair represents a solution to the inequality x + 3y < −12 ?

a)

( − 5, 3 )

b)

( 3 , − 5 )

c)

( − 9, 1 )

d)

( − 1, − 9 )

17.

Which ordered pair represents a solution to the inequality 5x + 4y > 12 ?

a)

(4, –2)

b)

(-4, 2)

c)

(4, 2)

d)

(–4, –2)

18.

The graph of 2x ー 3y = 12 is shown on the coordinate grid. Which point is in the solution set of 2x ー 3y > 12 ?

a)

(0 , -4)

b)

(-2 , -2)

c)

(4 , -3)

d)

None of these are in the solution set

19.

During game 3 of the basketball championships, San Antonio scored 97 points consisting of 2-point and 3-point baskets. If San Antonio made a total of 45 baskets, how many of each type did they made?

a)

2-point baskets: 7

3-point baskets: 38

b)

2-point baskets: 38

3-point baskets: 7

c)

2-point baskets: 42

3-point baskets: 3

d)

2-point baskets: 3

3-point baskets: 42

20.

Two companies are trying to sell laptops to a school district. The tables show the total cost for laptops purchased from each of the companies. How many laptops would the school district have to purchase for the cost to be the same for both companies?

(a)

21.

The Cowboys High School Band Boosters are selling candy bars and chips at the basketball tournament to raise money for their band competition. The candy bars sell for $1.00 and the chips sell for $.50. They have 575 items ready to sell and expect to make $500 on the sale of all of the items. How many candy bars do they have ready to sell?

(a)

22.

Albert and Mae watched a motorcycle club convoy whiz by their car during their Spring Break road trip. The club members were riding traditional two-wheeled motorcycles as well as three-wheeled tricycles. Albert counted 38 total cycles while Mae counted 89 total wheels. How many traditional motorcycles were in the convoy?

a)

5

b)

13

c)

25

d)

38

23.

Mayra and Nancy went to Home Goods to buy centerpieces for their new event hall. Mayra bought 7 small centerpieces and 12 large centerpieces and paid $275.50. Nancy paid $347.25 for 15 large centerpieces and 9 small centerpieces. How much does a small centerpiece cost?

(a)

24.

What is the equation of the line that is perpendicular to $y+2=\frac{3}{4}x-8$ and contains the point (-12, 1) ?

a)

$y=\frac{3}{4}x-8$

b)

$y=-\frac{4}{3}x-15$

c)

$y=-\frac{3}{4}x-8$

d)

$y=\frac{4}{3}x+17$

25.

What is the equation of a line that is parallel to the x-axis and goes through the point (-5, 7)?

a)

x = -5

b)

y = -5

c)

x = 7

d)

y = 7

26.

What is the equation of a line that is parallel to the y-axis and goes through the point (-3 , 2)?

a)

x = -3

b)

y = -3

c)

x = 2

d)

y = 2

27.

What is the equation of a line that is perpendicular to y = 1 through the point (4 , 1)?

a)

x = 4

b)

y = 4

c)

x = 1

d)

y = 1

28.

The table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years since the trees were planted. What is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted?

a)

14 ft/yr

b)

3 ft/yr

c)

7 ft/yr

d)

10 ft/yr

29.

What is the equation in slope-intercept form of the line that crosses the x-axis at 36 and is perpendicular to the line represented by $y=-\frac{4}{9}x+16$ ?

a)

$y=\frac{4}{9}x+16$

b)

$y=\frac{4}{9}x-16$

c)

$y=\frac{9}{4}x+81$

d)

$y=\frac{9}{4}x-81$

30.

A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x, the time in minutes. Which answer choice best describes the domain and range of the function for this situation?

a)

Domain: All real numbers greater than or equal to 0 and less than or equal to 100 Range: All real numbers greater than or equal to 0 and less than or equal to 50

b)

Domain: {− 2} Range: {100}

c)

Domain: All real numbers greater than or equal to 0 and less than or equal to 50 Range: All real numbers greater than or equal to 0 and less than or equal to 100

d)

Domain: {100} Range: {−2}

31.

A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill.

Which inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked?

a)

6x+2y<120

b)

2x+6y≤120

c)

6x+2y>120

d)

2x+6y≥120

32.

A company advertises on a website. A worker tracked the number of visits to the website and the number of clicks on the advertisement. The table shows the data for several days. A linear function can be used to model the data. Based on the table, what is the best prediction of the number of clicks on the advertisement if 1,500 people visit the website?

a)

77

b)

137

c)

83

d)

105

33.

The graph of a linear function is shown on the grid. Which equation is best represented by this graph?

a)

$y+2=\frac{7}{5}\left(x+7\right)$

b)

$y-2=\frac{7}{5}\left(x-7\right)$

c)

$y+2=\frac{5}{7}\left(x+7\right)$

d)

$y-2=\frac{5}{7}\left(x-7\right)$

34.

A system of equations is graphed on the grid. Which system of equations does the graph represent?

a)

y = −x−4

y = 2x − 2

b)

y = −x+4

y = 2x − 4

c)

y = x−4

y = −2x − 2

d)

y = x+4

y = −2x − 4

35.

Which graph best represents this system of equations and its solution?

8x − 4y = −16

3x + 15y = −6

a)

b)

c)

d)

36.

The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds. What is the time in seconds the toy robot moves when the total distance is 408 centimeters?

a)

24 s

b)

17 s

c)

13 s

d)

37 s

Algebra 1 Quarter 2 ACP Review

Total questions: 36

Worksheet time: 2hrs 48mins

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