7th Grade Equations and Inequalities

Inequality Symbol

100

What do we need to do when we multiply or divide by a negative number?

Flip the sign

200

What do we need to do if the variable is on the right?

switch it and flip the symbol

300

Do we flip the sign or bring it down?

x/-2 + 6 >= 13

flip it

400

Do we flip the sign or bring it down?

x/5 < -4

bring it down

500

Do we flip the sign or bring it down?

20 <= -2x-4

flip the sign then switch and flip

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

Inequalities

100

What is this symbol called and how does it look on a graph? 

>

Greater than, a closed circle to the right

200

what inequality means "fewer than"

less than <

300

twenty times a number decreased by 100 is larger than 300.

20x - 100 > 300

400

a number plus 9 is no more than 30

x + 9 <= 30

500

seven times a number increased by 8 is at maximum 50

7x + 8 <= 50