Algebra 8: Chapter 1 Review

Solving Simple Equations

100

x + 4.2 = 1.5

-2.7

200

x - 13 = 45

58

300

-3x = 99

-33

400

-10 = b/-7

70

500

5/8w = 6

48/5

Solving Multi-Step Equations

100

5x + 11 = 61

10

200

b/3 - 4 = 2

18

300

-9/6x+3=-9

8

400

4(-x+4)=12

1

500

Alexandra is asked about her age. She answers as follows. "My age is 4 more than five times the age of my grandson." How old is her grandson if Alexandra is 54 years old?

10

Equations with Variables on Both Sides

100

-11p-5=-3p-21

2

200

11d-9=-14d+4

13/25

300

-3x-3=-8(6+6x)

-1

400

2(4y-3)-8=4+2y

3

500

20-w=5+3(5+7w)

0

Rewriting Equations and Expressions

100

Solve for x:

x-6y=-2

x=-2+6y

or

x=6y-2

200

Solve for y:

-7x+y=4

y=4+7x

or

y=7x+4

300

Solve for y:

5-4y=7x

y=-7/4x+5/4

400

Solve for L:

V=LWH

L=V/(WH)

500

Solve for b:

A=1/2bh

b=(2A)/h

Solving Absolute Value Equations

100

-6absm=-72

-12,12

200

abs(3x-5)=11

-2,16/3

300

abs(4-2x)+1=4

1/2,7/2

400

5abs(c+3)-1=9

-5,-1

500

-abs(m+3)=-13

-16,10