7th Grade Equations and Inequalities

1-Step Equations

100

x + 13 = 28

x=15

200

x - 6 = -10

x= -4

300

-2x = 36

x = -18

400

x/7 = -3

x = -21

500

-4 + x = -32

x = -28

2-Step Equations

100

3x - 2 = 13

x = 5

200

x/6 - 4 = 7

x=66

300

(x+2)/3 = 9

x = 25

400

-3(2x + 4) = 30

x = -7

500

-2( 4x + 3) = -86

x=10

1-Step Inequalities

100

x + 17 > -11

x > -28

200

x - 9 < 18

x < 27

300

12x > -48

x > -4

400

x/-7 <= 8

x >= -56

500

-13x < -169

x > 13

2-Step Inequalities

100

3x + 19 > -11

x > -10

200

4x - 6 < 10

x < 4

300

x/2 + 4 >= 17

x>= 26

400

-3x + 8 > 23

x < -5

500

-6x - 10 > 32

x < -7

Word Problems

100

Sara charges a fee of $30 and $5 an hour to tutor people in math. If she made $80, how many hours did she work?

Write an equation for this situation.

5x + 30 = 80 or 30 + 5x = 80

200

A cable company charges $50 per visit and $20 for each device they install. If you owe $130 how many devices did you get?

Write an equation for this situation.

50 + 20x = 130 or

20x + 50 = 130

300

Sarah earns $20 an hour and already has $100 saved. When will she have more than $300?

Write an inequality for this situation.

20x + 100 > 300

400

A teacher can have no more than 30 students in the class. If they already have 9, how many more students can join?

Write an inequality for this situation. 

x + 9 <= 30

500

Tickets to a show cost $7 each and parking is $8. A group of friends can spend no more than $50. How many tickets can they buy? 

Write an inequality to represent this situation.

7x + 8 <= 50