Free Printable 7th grade Equations and Inequalities Review

1.

The rental fee for a golf cart at a campground requires a $25 non-refundable deposit plus $8 per day. How much will it cost to rent the golf cart for 6 days?

a)

$31

b)

$48

c)

$73

d)

$55

2.

Matthew ran 13 miles yesterday. That was 4 more than 3 times the number of miles Ben ran. Which equation can be used to find, b, the number of miles Ben ran?

a)

3(13) + 4 = b

b)

3(13) = b + 4

c)

13 = 3b + 4

d)

13 + 4 = 3b

3.

Which graph shows the solution to this inequality?

$24\le2x+4$

a)

b)

c)

d)

4.

Dana has made 5 payments of equal amounts on her upcoming vacation. The equation below can be used to determine x, the amount in dollars of each payment.

$600-5x=116.25$

What was the amount in dollars of each of Dana's payments towards her vacation?

a)

$100.50

b)

$96.75

c)

$110.75

d)

$125.30

5.

Marissa made $110.50 selling 17 of her old CDs at a garage sale. If she sold them all at the same price, which equation can be used to find p, the price she sold each CD for?

a)

b)

c)

d)

6.

Christine is baking brownies for her school's bake sale. She plans to bake more than 135 brownies, in batches of 15 brownies. So far, Christine has baked a total of 60 brownies. What inequality describes this situation, if b represents the number of batches of brownies Christine has left to bake.

a)

b)

c)

d)

7.

Solve the equation for n.

$8n-1=31$

a)

n = 5

b)

n = 6

c)

n = 4

d)

n = 7

8.

Sam is trying to solve the equation below.

$63+7k=84$

What value of k makes Sam's equation true?

a)

k = 5

b)

k = 7

c)

k = 10

d)

k = 3

9.

Which of the following is the simplified version of $12\left(x+5\right)-18x=144$ ?

a)

-30x+60=144

b)

-6x+5=144

c)

-6x+60=144

d)

-18x+60=144

10.

Nate is buying supplies for his boy scout troop. He is buying a flashlight (f) and a wide brimmed hat for each of his 13 boy scouts. Each hat costs $16.75. If Nate's total cost is $341.25, which of the following equations can be used to find how much each flashlight costs? Select TWO that apply.

a)

13(f) = 341.25 + 217.75

b)

13(f) = 341.25 - 217.75

c)

13(f) + 217.75 = 341.25

d)

16.75(f) + 13 = 341.25

11.

Which of the following is a simplified version of $24-12\left(x+5\right)=144$ ?

a)

-12x + 84 = 144

b)

-12x - 36 = 144

c)

12x + 5 = 144

d)

12x + 12 = 144

12.

Trenton has 184 colored pencils. He is going to keep 22 for himself, and divide the rest among 9 of his friends. How many colored pencils would each of his friends receive?

a)

18

b)

14

c)

16

d)

20

13.

A cleaning company charges a flat rate of $50 in addition to $15 per hour, h, worked. Kaylee wants to spend no more than $95 having her house cleaned. Which inequality represents Kaylee's situation?

a)

b)

c)

d)

14.

Which value of n makes the equation below correct?

$4n+18=16$

a)

b)

c)

d)

15.

Justin wants to solve the inequality below.

$2x+12<18$

Place the steps he must follow in the correct order.

a)

Subtract 12 from both sides of the inequality: $2x+12-12<18-12$

b)

Simplify the inequality to $2x<6$

c)

Divide both sides by 2. Simplify inequality to $x<3$ .

1)

2)

3)

16.

Which graph shows the solution to this inequality?

$4x+1.21>5$

a)

b)

c)

d)

17.

Graph the solution to this inequality:

18.

Solve the inequality.

$4x-5\ge15$

a)

$x\ge-5$

b)

$x\ge2.5$

c)

$x\ge5$

d)

$x\le5$

19.

A swimming pool initially contained 1,200 gallons of water. Over the weekend, a pump was used to remove an equal amount of water from the pool 3 times. After the pumping was complete, 930 gallons of water remained.

The equation below can be used to determine x, the number of gallons of water removed each time.

$1200-3x=930$

What was the amount of water, in gallons, that the pump removed each time?

a)

50 gallons

b)

90 gallons

c)

100 gallons

d)

270 gallons

20.

Solve the equation for x.

$4\left(x+2\right)=36$

a)

$x=9$

b)

$x=11$

c)

$x=7$

d)

$x=8$

7th grade Equations and Inequalities Review

Total questions: 20

Worksheet time: 2hrs 30mins

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