Equations & Inequalities

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100

 A number is no more than -3

x <= -3

200

The difference between a number and seven is less than 23

x - 7 < 23

300

Two thirds of a number plus 17 is at least 29

2/3 X + 17 (greater than or equal to) 29

400

Half of the sum of a number and five is a maximum of ten

1/2 (x + 5) <= 10

500

-5 increased by one-half of a number is no more than 14

-5 + 1/2x <= 14

Two-Step Equations

100

Solve the equations. 

14-3g=32 

g=-6

200

Solve the equations. 

w/4 -21=-3

w=72

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 

x= 3

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 

x=4

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? 

z>-48