Chapter 8

8-1 Solving Equations

100

Solve each equation.

1/5x=4

x=20

200

Solve each equation.

0.5x=25

x=50

300

Solve each equation.

-2x=2.2

x=-1.1

400

Solve each equation.

1/4y=-8

y=-32

500

Solve each equation.

-3/5x=-6/25

x=2/5

8-2 Two Step-Equations

100

Solve each equation. 

3+4c=15

c=3

200

Solve each equation. 

1/5p-12=20

p=160

300

Solve each equation. 

2x+x-27=3

x=10

400

Solve each equation. 

2.1n-5.31=18

n=11.1

500

Solve each equation. 

0.12t-0.6=-0.06

t=4.5

8-3 Writing Equations

100

Write an equation for each sentence, then solve.

Zack has 6 shirts. This is 4 less than twice the number of shirts n that Xavier has.

6=2n-4 or 2n-4=6

n=5

200

Write an equation for each sentence, then solve.

Eight more than the quotient of a number y and -3 is -24.

8+y/-3=-24

y=96

300

Write an equation for each sentence, then solve.

Jeremy has 13 baseball cards, which is 7 more than one-fifth the number m Michael has.

13=7+1/5m or 7+1/5m=13

m=30

400

Write an equation for each sentence, then solve.

Cole bought some fruit for $5 and 3 boxes of cereal c and spent a total of $17. 

3c+5=17

c=4

500

Write an equation for each sentence, then solve.

Six less than twice a number is -22.

2x-6=-22

x=-8

8-4 More Two-Step Equations

100

Solve each equation.

3(x-5)=24

x=13

200

Solve each equation.

4(x+3)=28

x=4

300

Solve each equation.

3/5(m-6)=-9

m=-9

400

Solve each equation.

3/8(v-6)=1/8

v=6 1/3

500

Solve each equation.

4.1(x-2.7)=254.2

x=64.7

8-5 Variables on Each Side

100

Solve each equation.

3a+6=2a

a=-6

200

Solve each equation.

10-x=9x

x=1

300

Solve each equation.

6/5y+8=4/5y-10

y=-45

400

Solve each equation.

60+25s=450+10s

s=26

500

Solve each equation.

-5.2k+2.9=-12k+30.1

k=4

8-6 Inequalities

100

Write the inequality for each sentence. 

Paul can spend at most $15 at the store.

s<=15

200

Write the inequality for each sentence. 

There are more than 35 students in the band. 

b>35

300

Write the inequality for each sentence. 

You must be at least 60 inches tall to ride the ride. 

h>=60

400

Write the inequality for each sentence. 

Children under the age of 2 fly for free.

a<2

500

Write the inequality for each sentence. 

While shopping, Amy can spend no more than $50. 

s<=50

8-8 Solving Multi-Step Equations

100

Solve each equation. 

5(x-3)+1=16

x=6

200

Solve each equation. 

18>-12+6m

m<1

300

Solve each equation. 

5+3y=3(2+y)

No Solution (Empty Set)

400

Solve each equation. 

575>=75+40(c+5)

7.5>=c or c<=7.5

500

Solve each equation. 

2(x+2)-4=2x

Identity (All numbers