Free Printable Unit 4 Review

1.

Solve:
4(2a + 3) < 3(a - 1)

a)

a<-3

b)

a>-3

c)

a<3

d)

a>3

2.

a)

a ≥ 4

b)

a ≥ -4

c)

a ≤ 4

d)

a ≤ -4

3.

You want to spend at most $1200 on a new laptop. If you make a $400 down payment, then pay the same amount every month for 12 months. Which Inequality could be use to solve to find out how much you can pay each month.

a)

12x + 1200 > 400

b)

12x + 400 < 1200

c)

12x + 400 > 1200

d)

12x + 400 < 1200

4.

My sister plans to sell more than 250 boxes of cookies.

a)

c>250

b)

c<250

c)

c≤250

d)

c≥250

5.

Cell plan A is $40 plus $.04 each text
Cell plan B is $30 plus $.09 each text
Write an inequality that shows when plan A is greater that plan B

a)

40 + .04x > 30 + .09x

b)

40 + .04x < 30 + .09x

c)

40 + .04 > 30 + .09

d)

40 + .04 < 30 + .09

6.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

7.

a)

A

b)

B

c)

C

d)

D

8.

-11 + 3(b + 5) = 7

a)

b = 1

b)

b= -1

c)

b = 3

d)

b = -3

9.

10(h+1)-4=76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

10.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

11.

Solve the equation:
½ (2x + 6) = 3x + 13

a)

no solution

b)

x = 8

c)

x = -5

d)

x = 7

12.

4(2a + 3) < 3(a - 1)

a)

a < -3

b)

a > -3

c)

a < 3

d)

a > 3

13.

Solve.

a)

a > -24

b)

a > 6

c)

a > -36

d)

a > -10

14.

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

a)

1

b)

2

c)

3

d)

4

15.

-11-5a = 6(5a + 4)

a)

-1

b)

-2

c)

-3

d)

-4

16.

Which equation has a solution of 24?

a)

-48 + 12 + x = -12

b)

-14 + 12 + x = -12

c)

-31x - 41x = -48

d)

-46x + 48x = 12

17.

Solve.
(2x - 3) / 4 = 9

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

18.

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

a)

3 hours

b)

4 hours

c)

1 hour

d)

2 hours

19.

9 ≥ -2m + 2 − 3

a)

m ≤ 5

b)

m ≤ -5

c)

m ≥ -5

d)

m ≥ 5

20.

28 − k ≥ 7(k − 4)

a)

k ≥ -7

b)

k ≤ -7

c)

k ≥ 7

d)

k ≤ 7

21.

What inequality does the number line graph represent?

a)

5x + 3 ≥ 18

b)

3x + 5 > 10

c)

2x - 8 < 14

d)

4x - 9 ≤ 3

22.

Match the graph with its inequality.

a)

4(b-3) - 6 > –2

b)

4(b+2) +4 < –2

c)

4(b+3) - 6 ≥ –2

d)

4(b+3) -6 ≤ –2

23.

Mrs. Burrell is buying donuts for a morning study session. She can spent $35. If it costs $3 per donut and $2 for a chocolate milk for herself, how many donuts did she buy for her students?

a)

12 donuts

b)

14 donuts

c)

10 donuts

d)

11 donuts

24.

$-118=-5\left(4+7x\right)+7$

a)

$-5$

b)

$-9$

c)

$3$

d)

$-1$

25.

$-\left(3v+1\right)+7\left(6v+6\right)=-37$

a)

$4$

b)

$0$

c)

$2$

d)

$-2$

26.

Solve for x.

a)

55

b)

60

c)

15

d)

35

27.

What is the solution set for 10 < 3x + 19

a)

{-4, -3, -2...}

b)

{-9, -8, -7...}

c)

{-3, -2, -1...}

d)

{-2, -1, 0...}

28.

Which is a possible solution -8(m + 2) < 4(5 + 2m)

a)

m = -2

b)

m = -3

c)

m = -8

d)

m > -10

29.

Your taxi fare is $2.50 per mile, plus a $5 fee. You cannot exceed $20. Which inequality models this scenario?

a)

5x + 2.50 ≤ 20

b)

2.50x + 5 < 20

c)

2.50x + 5 ≤ 20

d)

7.50x < 20

30.

Match the graph to the inequality $-5\left(x-3\right)+2x<6$

a)

A

b)

B

c)

C

d)

D

31.

WRITE AN EQUATION

Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

a)

x/2 + 4 = 12

b)

x/2 - 4 = 12

c)

12 - 4 = x

d)

12 - 4 = -x/2

32.

Maria has 25 dollars. She has to buy a gallon of milk which costs $3.50. She wants to spend the rest of her money on cereal. If each box of cereal costs $4.50, how many can she purchase?

a)

4 boxes

b)

5 boxes

c)

6 boxes

d)

7 boxes

33.

Eric's BBQ sells BBQ by the pound. Alexa buys $8.75 worth of sides and then 6 pounds of barbeque. If her total bill was $40.55, how much was each pound of barbeque?

a)

$5.30

b)

$3.95

c)

$8.22

d)

$5.32

34.

Is -2 a possible solution for p ≤ -2 ?

a)

Yes

b)

No

35.

An equation is modeled.

What value of x makes the equation true?

a)

1

b)

7

c)

-5

d)

-1

36.

Downloading Music
Chris is comparing two music downloading websites. The first site charges a $15 membership fee and then charges $0.50 per song. The second website has no membership fee, but they charge $0.80 per song.
How many songs will Chris have to download before the two sites charge the same amount?

a)

80 songs

b)

70 songs

c)

50 songs

d)

500 songs

37.

Solve the inequality:
-2x + 5 < x - 7. Which value is in the solution set?

a)

2

b)

4

c)

-1

d)

5

38.

Write the equation for the model.

a)

3x+6=-9

b)

-3x-6=9

c)

3x+6=9

d)

3x-6=-9

39.

Write the equation for the model.

a)

7=2x-3

b)

7=2x+3

c)

-7=2x-3

d)

7=-2x-3

40.

28 − k ≥ 7(k − 4)

a)

k ≥ -7

b)

k ≤ -7

c)

k ≥ 7

d)

k ≤ 7

Unit 4 Review

Total questions: 40

Worksheet time: 10hrs 0mins

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