Unit Review: Multi-Step Equations & Inequalities

Two-Step Equations

100

Solve the equation      R-18=42

r=60

200

Solve the equation.                                                   w/4 -21=-3 

*****double points****

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

****double points***

 y<-12

400

Solve the inequalities. d/-11 ≤6

d≥-66 

500

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

You flip the inequalities sign

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

Special cases

100

5x+16>5(x+4)

No solution

200

4x+3<4(x-6)

IMS

300

5(x+3)>5(x+2)+5

No solution