7th grade, Multi-Step Equations & Inequalities

Two-Step Equations

100

Solve the equation:  r-18=42

r=60

200

Solve the equation: w/4 -21=-3 

w=72

300

Solve the equation: 4-3x=34

x=-10 

400

Solve the equation: d/15 + 26 = 33

d=105

500

Write the statement as an equation and solve. "Five minus the product of 2 and a number is 7."

5-2x=7 ; x=-1

Like Terms & Parentheses

100

Solve the equation: 6(x-1)=12

x= 3 

200

Solve the equation: 14t-4-9t=31

 t=7

300

Solve the equation: -5(3n+5)=20 

n= -3

400

Solve the equation:   -(z+11)=6

z=-17

500

What is the solution of the equation: -0.5(2x-10)= 8

-3

Inequalities

100

Solve the inequalities. x+4<3

 x<-1

200

Solve the inequalities. m+13≥14 

m≥1 

300

Solve the inequalities.  -3y>36

 y<-12

400

Solve the inequalities. d/-11 ≤6

d≥-66 

500

Which inequality is equivalent to -18≤3p? Show your work.

a) p≥-54 

b)-54≥p 

c)p≥-6 

d)-6≥p

c)  p≥-6   or    -6≤p

Multi-Step Inequalities

100

Solve the inequalities. 2y+7>11 

y>2 

200

Solve the inequalities: 11-4z<-1 

z>3 

300

Solve the inequalities: 3 + b/3 < 7 

b<12

400

Solve the inequalities: x/-3 - 8 ≥ -3

x≤-15 

500

Solve the inequality: z/-4 + 3 < 15? 

z>-48

RANDOM

100

Simplify: -9a + 5 - a

-10a + 5

200

Simplify:

3(-5) + 7 - 11

-19

300

Simplify:

-4(3x - 5)

-12x + 20

400

What is the rule when you multiply or divide by a negative variable when solving inequalities?

You flip the inequalities sign

500

Solve the following inequality: 

 −6 < 3n + 9 

 -5 < n  or  n > -5