Inequalities
Solving Equations
Inequalities on a number line
Vocabulary
Independent and Dependent Variable
200

If y ≥ 5, write 3 possible solutions for y

5 and greater 

200


x - 10= 27

x=37

200

Write x > 5 by drawing a number line. 

Open circle 

Arrow towards greater numbers

200

A mathematical sentence that uses <, ≤, >, ≥, and ≠ to compare 2 quantities.

What is an inequality?

200

Your grade. 

How much you study. 

Which is the dependent variable?

Your grade 

400

If t ≤ 169 write 3 solutions to this inequality. 

169 and less

400

5x=335

x=67

400

Write x ≤ -1 by drawing a number line.

Closed circle Arrow toward smaller numbers 

400

What is an expression? 

You can use an example to explain. 

Does not have an equal sign. 

400

How much a flower grows. 

How much it rains. 

Which is the independent variable?

How much it rains. 

600

If x ≥ 45 

x=50 

Is this a solution? 

Yes

600

24/r=2


r=?

12

600

Write x < 0 by drawing a number line.

Open circle

Arrow toward lesser numbers 

600

Define dependent variable. 

A variable that relies or depends on another variable. 

600

How far you have to drive. 

How much gas you need. 

Which is the independent variable?

How far you drive. 

800

If m ≤ 7

m=7.5 

Is this a solution? 

No

800

30 + z = 65


z=?

z=35

800

Write x > 3 by drawing a number line.

Open circle 

Arrow towards greater numbers 

800

A variable whose value usually determines the value of another variable, however is not affected by any other variable.

What is a independent variable?

800

Where you will stand in a group picture.

How tall you are. 

Which is the dependent variable?

Where you will stand in a group picture.

1000

If a > 9 write a decimal and a fraction solution. 

greater than 9

1000

3.8p=19

p=?

5

1000

Write x ≤ 230 by drawing a number line.

Closed circle 

Arrow towards lesser numbers. 

1000

Define inverse relationships: 

Operations that undo each other. 

Example: addition and subtraction 

multiplication and division

1000

How many cars washed at a car wash.

How much money made. 

Which is the independent variable? 

How many cars washed at a car wash.