Expressions, Equations, & Inequalities

Two-Step Equations

100

Solve the equations. 

14-3g=32 

g=-6

200

Solve the equation. 

w/4 -12=-3

w=36

300

Solve the equations. 

4-3x=34

x=-10 

400

Solve the equations. 

d/15 +26=33 

d=105

500

Write the verbal sentence 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. 

5+2(x-2)=21

x=10 

300

Solve the equation. 

-5(3n+5)=20 

n= -3 

400

Solve the equation. 

-2(z+11)=6

z=-14

500

What is the solution of the equation: 

-3(2x-1)=-21 

4

Inequalities

100

Solve the inequality. 1≥x-9 

10≥x 

200

Solve the inequality. 5+m+8≥14

m≥1

300

Solve the inequality.

 -3y>36

y<-12

400

Solve the inequality. 

d/-11 ≤6 

d≥-66

500

Which inequality is equivalent to -18≤3p? 

a) p≥-54 

b)-54≥p 

c)p≥-6 

d)-6≥p

c) p≥-6

Multi-Step Inequalities

100

Solve the inequality. 

2y+7>11 

y>2

200

Solve the inequality. 

11-4z<-1 

z>3 

300

Solve the inequality.  3+b/3<7 

b<12

400

Solve the inequalities.

x/-3 -8≥-3

x≤-15 

500

What are the common solutions, if any, in the  inequalities  z/-4+3>15 and  x+2>11-2x 

No common solution exists.

Equivalent Expressions

100

Write an equivalent expression by combining like terms:

10x+-4x

6x

200

Write an equivalent expression by combining like terms:

3 + 2y - 6 + 8y

-3 +10y

300

Use the distributive property to find an equivalent expression: 

5(3x+7)

15x + 35

400

Use the distributive property to write an equivalent expression:

-6(5p - 3)

-30p + 18

500

Write an equivalent expression:

3 - 4(6x + 12) + 3x

-45 - 21x