Mid Unit Review: Multi-Step Equations & Inequalities

Two-Step Equations

100

Solve the equations. 14-3g=32 ;18-r=42

g=-6 ;r=-24

200

Solve the equations. w/4 -21=-3 ; 15y-63=57

w=9 ; y=8

300

Solve the equations. 4-3x=34 ; 6-4u=26

x=-10 ; u=-5

400

Solve the equations. d/15 +26=33 ; 4x+5=-15

d=469 ; x=-5

500

DAILY DOUBLE!!!! 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 ; 17t-7-9t=25

x= 3 ; t=4

200

Solve the equations. 5+2(x-2)=19 ; 14t-4-9t=31

x=10 ; t=7

300

Solve the equations. -5(3n+5)=20 ; 22+4y-14=0

n= -3 ; y=-2

400

Solve the equations. 42=18t+4(t+5) ; -2(z+11)=6

t=1 ; z=-14

500

What is the solution of the equation: -3(2x-1)=-21; a) -4 ; b) -3 ; c) 3 ; d) 4

b) -3

Variables on Both Sides

100

Solve the equations. -5k-19=5-13k ; 4n-4=10n+26

k= 3 ; n=-6

200

Solve the equations. 14+5y=50-4y ; 2n-5=4n+9

y=4 ; n=-7

300

Solve the equations. 7(2p+1)=14p+7 ; 7(8x+5)=56x

all solutions 14p+7=14p+7 ; no solution 35=0

400

Solve the equations. 5t+5=5t-4 ; 6(2x+9)=12x

no solution 5=-4 ; no solution 54=0

500

Solve the equations. 18y-16=13y+19 ; 4x+8=2(2x+4)

y=7 ; all solutions 4x+8=4x+8

Inequalities

100

Solve the inequalities. 1≥x-9 ; x+4<3

10≥x ; x<-1

200

Solve the inequalities. 5+m+8≥14 ; 13+n-26<38

m≥1 ; n<51

300

Solve the inequalities. a/2 < -9 ; -3y>36

a<-18 ; y<-12

400

Solve the inequalities. d/-11 ≤6 ; 5z<65

d≥-66 ; z<13

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 inequalities. 2y+7>11 ; 6n-3≤-9

y>2 ; n≤1

200

Solve the inequalities. 11-4z<-1 ; 3m-8>-30+5m

z>3 ; 11>m or m<11

300

Solve the inequalities. 3+b/3<7 ; 4(5-3b)>4b+4

b<12 ; 1>b or b<1

400

Solve the inequalities. x/-3 -8≥-3 ; x/-7 -11≥-3

x≤-15 ; x≤-56

500

What is the solution of the inequality z/-4+3<15? a)z<-48 ; b)z>-48 ; c)z<-3 ; d)z>-3

b) z>-48