Free Printable Topic 5 Unit Assessment Review

1.

Solve: 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

2.

Solve: 9 + 3x = 10

a)

2/3

b)

1/3

c)

-1/3

d)

4

3.

What is the first step to solve this equation:
-11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

4.

Write an equation: Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

24-7x=10

c)

10+7x=24

d)

10+x=14

5.

What inequality does the number line graph represent?

a)

x $\ge$ 3

b)

x > 3

c)

x < -3

d)

x $\le$ 3

6.

Does the given value make the inequality true? x + 9 > 21, when x = 15

a)

True

b)

Not True

7.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

8.

Solve for k.
2k - 9≤ -19

a)

k ≤ -5

b)

k ≤ 5

c)

k < -5

d)

k < 5

9.

Solve for x.

a)

x = 21

b)

x = 7

c)

x = −21

d)

x = 4

10.

Solve -3x + 5 = -16

a)

9

b)

8

c)

-7

d)

7

11.

Solve: 3x - 2 ≥ 34

a)

x ≥ -12

b)

x ≤ -12

c)

x ≤ 12

d)

x ≥ 12

12.

Solve

a)

n < 6

b)

n > 6

c)

n < 14

d)

n > 14

13.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

14.

Deon wants to go on a camping trip that will cost $199. He paid a deposit of $55 and will save an additional $18 per week to pay for the trip. Which equation shows how many weeks will he need to save to pay off his trip?

a)

18w + 55 = 199

b)

18w - 55 = 199

c)

18w - 199 = 55

d)

55w - 18= 199

15.

The Johnson family wants to join a gym. There is a fee of $125 to join plus $45 per month membership fee. They budgeted $800 for the gym membership. Which equation shows how many months will they be able to have a membership?

a)

125 + 800x = 45

b)

45x + 125 = 800

c)

125x + 45 = 800

d)

45x - 125 = 800

16.

What inequality does the number line graph represent?

a)

2x +1 < -3

b)

x + 2 < 4

c)

-x + 3 > 1

d)

x + 4 $\ge$ 2

17.

Janelle and some of her friends went to the movies. Tickets cost $6 per person and each girl also purchased a snack for $2.25. The total was $40.50. Which equation can be used to show how many girls went to the movies?

a)

6g + 2.25g = 40.50

b)

40.50 - g = 6

c)

6g - 2.25 = 40.50

d)

6g + 2.25 = 40.50

18.

Solve for t.

6t + 4 ≤ -2

a)

t ≤ -1

b)

t ≤ 1

c)

t=1

d)

1=t

19.

Solve: -7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

20.

Sal purchased a computer for $650. He paid $105 initially and will pay $20 per month until the computer is paid off. Which equation can be used to find how many months will he have to pay before his computer is paid off?

a)

20x + 105 = 650

b)

105x + 20 = 650

c)

650x - 20 = 105

d)

20x - 105 = 650

21.

On vacation you bought 3 identical t-shirts and a hat. The hat cost $21 and you spent $60 total. What was the cost of each t-shirt?

a)

$13

b)

$12

c)

$15

d)

$10

22.

In his DVD collection, Domingo has eight more than twice as many animated movies as action movies. He has 24 animated movies. How many action movies does he have?

a)

8

b)

20

c)

6

d)

16

23.

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

a)

10x + 1.50 ≥ 40

b)

1.50x + 10 ≤ 40

c)

1.50x + 10 <40

d)

10x + 1.50 < 40

24.

Debbie has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Debbie can buy.

a)

60≥22x-8

b)

22-8x≥60

c)

22x+8≤60

d)

22+8x≤60

25.

Which situation can be represented by the equation
40x + 20 = 200?

a)

Mitch owed Jason $200. Mitch borrowed $20 more. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?

b)

Mitch owed Jason $200. Mitch already paid Jason back $20. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?

c)

Mitch owed Jason $200. Mitch borrowed $40 more. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?

d)

Mitch owed Jason $200. Mitch already paid back $40. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?

26.

Kiari needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car?

a)

x ≥ 48

b)

x ≤ 48

c)

x ≥ 24

d)

x ≤ 24

27.

Solve: 17 = x + 3

a)

x = 20

b)

x = 14

c)

x = 13

d)

x = 19

28.

Solve -3x + 5 = -16

a)

9

b)

8

c)

-7

d)

7

29.

Solve: $\frac{x}{4.5}=-2$

a)

$x=2.25$

b)

$x=9$

c)

$x=-9$

d)

$x=-2.25$

30.

Brock has $23 to spend on cupcakes. He wants to buy and orange cupcake for $8 and spend the rest on pink cupcakes. Each pink cupcake costs $5. Write an inequality that can be used to determine the number of pink cupcakes Brock can buy.

a)

8 - 5x $>$ 23

b)

5x + 8 $\le$ 23

c)

8 + 5x $>$ 23

d)

23x - 5 $<$ 8

31.

Solve for k.
2k - 9≤ -19

a)

k ≤ -5

b)

k ≤ 5

c)

k < -5

d)

k < 5

32.

Solve: -13t > 26

a)

t > -2

b)

t > 2

c)

t < 2

d)

t < -2

33.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

a)

5x + 10 ≥ 100

b)

5x - 100 ≥ 10

c)

10x + 5 ≤ 100

d)

5x + 10 > 100

34.

Write an inequality: Four times a number increased by 7 is at least 19.

a)

4x > 19

b)

4x + 7 ≥ 19

c)

4x < 19

d)

4x + 7 ≤ 19

35.

Solve: -4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

36.

Solve: -5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

37.

Solve and graph the inequality.

77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

38.

Solve: $-5(3x+1)+10\le95$

a)

$x\ge6$

b)

$x\ge-6$

c)

$x\le-6$

d)

$x\le6$

39.

Solve: $\frac{x-3}{7}=-3.5$

a)

$x=-3.5$

b)

$x=-27.5$

c)

$x=7$

d)

$x=-21.5$

40.

Solve the inequality and graph on a number line:

12 - 2x < 16 (The red arrows show the graphs.)

a)

D. x > 0

b)

A. x ≤ 0

c)

C. x > -2

d)

B. x ≤ 2

41.

Solve the inequality.

-3n + 8 < 26

a)

n < - 6

b)

n > - 6

c)

n ≤ -10

d)

n > - 8

42.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

43.

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

a)

200 + 25x ≥ 500

b)

500 + 25x ≥ 200

c)

500 - 25x ≥ 200

d)

500 - 25x ≤ 200

44.

Solve the following inequality then choose the matching graph.

n + 1 ≤ 7

a)

A

b)

B

c)

C

d)

D

45.

Solve and graph the inequality.
7n - 1 > 76

a)

A

b)

B

c)

C

d)

D

46.

Solve: 2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

47.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

48.

Solve: 3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

x=8

d)

x= -12

49.

Solve and graph the inequality. $-4>\frac{m}{3}-7$

a)

A

b)

B

c)

C

d)

D

50.

Solve: 2x + 3(5x - 7) = 47

a)

1

b)

2

c)

3

d)

4

51.

Solve: -6(8x-7)+2=284

a)

x=-10

b)

x=109

c)

x=10

d)

x= -5

52.

David is ordering tickets to a concert. He buys 2 tickets that all have the same price. There is a service charge of $2.25 per ticket. The total cost of his order is $21. What was the price of each ticket?

a)

$11.63 per ticket

b)

$8.25 per ticket

c)

$9.38 per ticket

d)

$10 per ticket

53.

Solve: 8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

54.

You are selling sandwiches for $2.50 each as a fundraiser. Your goal is to raise at least $155. Write and solve an inequality to determine how many sandwiches, s, you must sell to reach your goal.

a)

$s\le62$

b)

$s\le388$

c)

$s\ge62$

d)

$s>388$

55.

Solve: 8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

56.

Solve the inequality and graph on a number line:

14 x - 3 ≤ -3 (The red arrows show the graphs.)

a)

A) x ≤ 0

b)

B) x ≤ 2

c)

x > 0

d)

x ≥ -2

57.

Solve: $-6\left(8x-7\right)=522$

a)

$x=-10$

b)

$x=109$

c)

$x=10$

d)

$x=4$

58.

Solve.

$6a\ +\ 5a\ =\ -11$

a)

$a\ =\ 0$

b)

$a\ =\ 1$

c)

$a\ =\ -1$

d)

None of these

59.

Solve and graph the inequality.

-31 ≤ 8m +9

a)

A

b)

B

c)

C

d)

D

60.

Solve: 3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

61.

Solve: 5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

62.

Solve: $-4\left(8+5x\right)=8$

a)

$x=-4$

b)

$x=3$

c)

$x=-2$

d)

$x=1$

63.

Solve: $-3(x+3)=15$

a)

$x=-8$

b)

$x=-2$

c)

$x=-72$

d)

$x=72$

64.

Jimmy played video games for 8 hours this week. That was 8 fewer than $\frac{4}{5}$ as many hours as he played last week, h. Write an equation and solve to find the number of hours Cole played video games for last week.

a)

h = 0

b)

h = 12

c)

h = 20

d)

h = 8

65.

Solve: $-3\left(x-8\right)=39$

a)

$x=-21$

b)

$x=-10.3$

c)

$x=-5$

d)

$x=5$

66.

Solve: $3\left(3x-6\right)=18$

a)

$x=4$

b)

$x=-4$

c)

$x=8$

d)

$x=-12$

67.

Solve: $-3.5\le x+4.8$

a)

$x\le-8.3$

b)

$x\le-1.3$

c)

$x\ge-1.3$

d)

$x\ge-8.3$

68.

Solve: $y+\frac{2}{5}=-\frac{1}{4}$

a)

$y=-\frac{3}{20}$

b)

$y=-\frac{13}{20}$

c)

$y=1$

d)

$y=-1$

69.

Solve: $\frac{y}{10}-5=11$

a)

$y=60$

b)

$y\ =\ 160$

c)

$y=120$

d)

$y=115$

70.

Solve: $5-7v<9$

a)

$x>-\frac{4}{7}$

b)

$x<-\frac{7}{4}$

c)

$x<\frac{4}{7}$

d)

$x>\frac{4}{7}$

71.

At a restaurant, Jeff and his three friends decided to divide the bill evenly. If each person paid $14, what was the total bill, x? Write an equation and solve.

a)

$56

b)

$42

c)

$3.50

d)

$10

72.

The seventh grade class is putting on a variety show to raise money. It cost $600 to rent the banquet hall that they are going to use. If they charge $10 for each ticket, x, how many tickets do they need to sell in order to raise at least $2500? Write and solve an inequality.

a)

$x\ge310$ ; 310 tickets or more

b)

$x\le310$ ; 310 tickets or less

c)

$x\ge190$ ; 190 tickets or more

d)

$x\le190$ ; 190 tickets or less

73.

Solve: $r\ +\ 11\ +\ 8r\ =\ 29$

a)

$r\ =0$

b)

$r\ =\ 1$

c)

$r\ =\ 2$

d)

$r\ =\ 3$

74.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

75.

A willow tree is 5.1 feet tall and grows at a rate of 2.5 feet a year. After how many years will the tree have reached no more than 60 feet tall? Write the inequality that represents this situation.

a)

5.1 + 2.5y ≥ 60

b)

60 < 5.1 + 2.5

c)

5.1 + 2.5y ≤ 60

d)

5.1 + 2.5y > 60

Topic 5 Unit Assessment Review

Total questions: 75

Worksheet time: 8hrs 47mins

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