IM1: Solving Equations and Inequalities Review

Solving Equations

100

Solve the equation.

5x-11=12

x=4.6

200

Solve the equation. 

-2x-(-4)=8

x=-2

300

Solve the equation. 

15=1/2x+18

x=-6

400

Solve the equation. 

5x-7=-3x+9

x=2

500

Solve the equation. 

4(x-5)=3x+7

x=27

Solving Inequalities

100

Solve the inequality. 

2x-9<=-11

x<=-1

200

Solve the inequality. 

4x+9<7x+9

x>0

300

Solve the inequality. 

-5x+11> -1

x<2.4

400

Solve the inequality. 

3(x-2) + x <4x+11

Infinite Solutions

500

Solve the inequality. 

21<-1/3x+9

x<-36

Word Problems

100

Five times a number decreased by 7 is 25.

5x-7=25

200

Half the difference of a number and 8 is 17. 

1/2(x-8)=17 or (x-8)/2=17

300

The quotient of a number and 6 decreased by 9 is more than 8. 

x/6-9>8

400

The product of a number and 3 increased by 1 is no less than 4. 

3x+1>=4

500

Five times the sum of a number and 8 is at most 15. 

5(x+8)<=15

Fractions

100

Solve. 

3/4x>12

x>16

200

Solve. 

-x/5-4=-9

x=25

300

Solve. 

-2/9(18x-27)=-2

x=2

400

Solve. 

-4<=(x-7)/3

x>=-5

500

Solve. 

1/4(12-4x)=3(1-2x)+5x

Infinite Solutions

Complex Inequalities

100

Solve the inequality.

-5<2x+9<=11

-7<x<=1

200

Solve the inequality. 

3x-1<-10 or 1/2x-5>11

x<-3 or x>32

300

Solve the inequality.

-4x-7>3 or 5x + 9>=20

x<-2.5 or x>=2.2

400

Solve the inequality.

-9<=7x+5<=26

-2<=x<=3

500

Solve the inequality.

1<2/3x+7<19

-9<x<18