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=105

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

d) 4

Build from Words

100

Build an equation or inequality to represent the situation. (You do not need to solve)

John has $45 in his piggy bank. His dad will pay his $15 an hour for mowing the lawn. How many hours would he need to work to have at least $250 for his new gaming console?

45 + 15x> or equal to 250

200

5 less than 3 times the quantity of x + 6 is 40

3(x+6) - 5 =40

300

Bryan always likes to have at least $150 in his savings account. Currently he has $800 in the account. If he withdraws $35 each week, after how many weeks will the amount in his savings account be less than $150?

150 less than or equal to 800 - 35x

400

Evelyn can either take her lunch or buy it at school. It costs $1.95 to buy lunch. If she wants to spend no more than $30 each month, how many lunches can she buy at most?

1.95x less than or equal to 30

500

Nine subtracted from four times a number is less than or equal to fifteen. Write an inequality.

4x -9 less than or equal to 15

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