Chapter 5 Review (Grade 7)

Properties of Equality

100

Solve the equation for x. 

x + 9.8 = 14.2

x = 4.4

200

Solve the equation for x. 

1/3x = 24

x = 72

300

Combine like terms: 

6 -5z + 8 -4z +1

15 - 9z

400

Solve the equations for x. 

3(x + 5) = 24 

x = 3

500

Solve the equation for x. 

x + 3 / 6 = 15

x = 87

2 Step Equations

100

Andrew rents bowling shoes for $4. He bowls 2 games. Andrew spent a total of $22. How much was the cost of each game? Solve for g. 

g = 9 

It cost $9 each game. 

200

Solve for x. 

1/4x + 2 = 18

x = 64

300

James incorrectly solved the equation 2x + 4 = 10. He says the solution is x = 7. What is the correct solution? 

x = 3

400

Solve the equation. 

-5(s + 30) = -17

s = -26.6

500

A family of 7 bought tickets to a baseball game. Each family member also bought a souvenir that cost $6. They spent a total of $147. How much did one ticket cost?

7x + 42 = 147 

7x = 105 

x = 15

Inequalities

100

Solve the inequality. 

38 + x ≤ 50

x ≤ 12

200

Solve the inequality. 

d/7 > 15

d > 105

300

Solve the inequality. 

-5/4h ≥ 25

h ≤ - 20 

400

Solve the inequality. 

12 - 3/5x > 39

x < -45

500

Solve the inequality. 

3(x + 2) + 13 > 55

x > 12

Word Problems

100

A gym charges a $20 sign-up fee and $15 per month. You have at most $110 to spend. How many months can you afford the gym?

20 + 15m ≤ 110

15m ≤ 90

m ≤ 6

200

A delivery driver earns $8 per hour plus a $25 bonus. He wants to make at least $97 in one day. How many hours does he need to work?

8h + 25 ≥ 97

8h ≥72 

h ≥ 9

300

A movie theater charges $12 per ticket. You have $90 to spend and want to buy tickets for you and your friends. How many tickets can you buy without spending more than $90?

12t ≤ 90

t ≤ 7.5 

You can buy at most 7 tickets.

400

The school band get $5 for each t-shirt they sell. They have a goal of raising $150. If $45 has been raised so far, how many more t-shirts do they need to sell to reach or exceed the goal?

45 + 5t ≥ 150

5t ≥ 105

Divide by 5:

t ≥ 21

500

Travis has 3 months to save money for a trip. An airplane ticket costs more than $300. If he saves the same amount of money, x, each month, how much does he need to save each month to pay for the ticket?

3x > 300 

x  > 100 

Travis needs to save more than $100 each month. 

Mixed Bag

100

Solve for n. 

2(n + 3) - 4 < 6

n < 2

200

Solve for t. 

5 (2t + 3) -3t < 16 

t < 1/7

300

Solve for y. 

4(y-4) + 8 ≤ 20

y ≤ 7

400

Solve for x. 

-12 ≥ -6x -4 

4/3 ≤ x

500

A concert requires at least $200 in ticket sales. Each ticket costs $25. Someone says that selling 7 tickets is enough to meet the goal. Is this correct?

25t ≥ 200 

25(7) = 175

175 ≥ 200

This is incorrect.