7th Grade Equations and Inequalities

1-Step Equations

100

x + 16 = 38

x=22

200

x - 8 = -11

x= -3

300

-3x = 27

x = -9

400

x/5 = -4

x = -20

500

-7 + x = -15

x = -8

2-Step Equations

100

4x + 5 = 17

x = 3

200

x/7 + 3 = 8

x=35

300

(x+3)/5 = 8

x = 37

400

2(3x + 6) = 30

x = 3

500

-4( 2x + 4) = -56

x=5

1-Step Inequalities

100

x + 23 > -11

x > -34

200

x - 6 < 23

x < 29

300

16x > -48

x > -3

400

x/9 <= 4

x <= 36

500

11x < 132

x < 12

2-Step Inequalities

100

2x + 11 > 23

x > 6

200

5x - 9 < 11

x < 4

300

x/2 + 6 >= 13

x>= 14

400

3x + 9 > 36

x > 9

500

-5x - 12 > 23

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