Real Numbers & Solving Equations Review

Classifying Numbers

100

What is the most specific classification for:

0

Whole Number

200

What is the most specific classification for:

-2/3

Rational Number

300

What is the most specific classification for:

4.83577521....

Irrational

400

Name all classifications for:

-6

Real 

Rational

Integer

500

Name all classifications for:

12

Real

Rational

Integer

Whole

Natural

One-Step & Two-Step Equations

100

4 = -8 + x

x= 12

200

5x=-80

x= -16

300

6x + 13 = -11

x= -4

400

1/2 x +10=-8

x= -36

500

1/3x+12=-3

x= -45

Multi-Step Equations

100

3(𝑥 − 9) = −1.5

x = 8.5

200

4(6 + 5x) = 124

x=5

300

-108 = -8(x + 6) - 4

x=7

400

172 = 5(4a + 6) + 2

a=7

500

-93 = 7(-3k - 8) + 5

k=2

Variables on Both Sides

100

5n-2=8n-14

x = 4

200

-4(-8p+1)=-4-8p

p=0

300

6(6n-2)=8n-40

n=-1

400

5x+5+4x=4-3x+6

x=5/12

500

-5(8n-4)-n=-16-5n

n=1

Types of Solutions

100

2x+3=15

x=6

200

2(2q+6)=4q-14

No solution

300

4(5y-7)=2(10y-14)

Infinite Solutions

All Real Numbers

400

–15b + 21 + 5b = 3(7-4b)+2b

Infinite Solutions

All Real Numbers

500

2(x-4)-(x+8)=6x-4-(5x-1)

No Solution