Math 7: Equations/Inequalities

Inequalities

100

How do you read this inequality symbol:

<

less than

200

Graph the solution set to x > -4

See teacher drawing

300

Solve the inequality.

2x > -6

x > -3

400

Solve the inequality.

3x-3 is less than or equal to 12.

x is less than or equal to 5.

500

How many solutions do inequalities have?

infinite

Vocabulary

100

A _____ is an unknown amount/quantity or value.

A variable is an unknown amount/quantity or value.

200

___ ___ have the same variable or exponent. We combine these together

like terms 

300

When solving an equation or inequality, what acronym should you follow to know what to do first?

PEMDAS backwards!

400

When solving an equation or inequality, should you simplify first or solve first?

Simplify!

500

What are the main 2 ways that you can simplify?

Combine like terms and distribute.

1-2 step equations

100

-7m = 63

-7m = 63 m=-9

200

n/7 = -8

n= -56

300

-2k-4=8

k=-6

400

6 - 2x = 6

x=0

500

h/-3 + 6 = -4

h = 30

Multi-step Equations

100

6m – 5m + 1=10

m=9

200

-6(4x - 5)=24

x=1/4 or 0.25

300

9 -3(6d + 9)=12

d=-1 2/3

400

4(5f - 3) = 48 

f=3

500

3(5x - 2) + 9x - 4 = 38

x=2

Inequalities

100

3(2x - 9) > 3

x > 5

200

3x + 3 ≤ -30

x ≤ -11

300

-10 < -4x - 2

x < 2

400

-2/3x ≤ 12

x ≥ -18

500

8 - 0.5x < 1

x >14