One Variable Two Step Inequalities Lesson

One Variable Two Step Inequalities Lesson

by Bryan Foster

Solving Two step Inequalities

7.11B

You should know the 

parts of an expression!!

Multiple Choice

What is the coefficient?

• Numbers that stand alone.

• A letter (a-z) that represents an unknown number.

• The number in front of the variable.

Multiple Choice

A variable is represented as a....

• Number

• Letter

Multiple Choice

Terms are normally separated by using which of the following?

• $$+,\ -,\ \times,\ \div$$  

• $$<,\ >,\ \le,\ \ge$$  

• $$=$$  

What is an inequality?

Inequality means "not equal"

**Note** Inequalities does not contain the equal sign.

Multiple Choice

What does inequality mean?

• equal

• not equal

Multiple Choice

TRUE or FALSE: Inequalities contain equal signs.

• TRUE

• FASLE

Process Steps

• Step 1: Add or subtract like terms

• Step 2: Multiply or divide both sides by the coefficient (the # with the variable).

• **If the coefficient is negative, flip the inequality sign**

• Remember we want the variable on one side by itself!

• Step 3: Set the variable to the solution using the inequality symbol.

Process steps

• Step 1: Add or Subtract like terms.

• Step 2: Multiply or divide both sides by the coefficient. **If the number is negative flip the sign**

• Step 3: Set the variable to the solution using the inequality symbol.

Process steps

• Step 1: Add or Subtract like terms.

• Step 2: Multiply or divide both sides by the coefficient. **If the number is negative flip the sign**

• Step 3: Set the variable to the solution using the inequality symbol.

Multiple Choice

Do I need to flip my sign?
-3x  ≥ 12

• Yes
• No

Multiple Choice

Solve:

2x - 9 > 11

• x < 10

• x > 1

• x > 10

• x < 1

Multiple Choice

-9a - 1 < 26

• a < -3

• a < 3

• a > -3

• a > 3

Multiple Choice

• x > 3

• x ≤ ⅕

• x ≥ 3

• x ≤ ⅕

Multiple Choice

Solve the inequality

• $$x>11$$  

• $$x>-11$$  

• $$x<11$$  

• $$x<-11$$  

Multiple Choice

Solve the inequality

• $$y<66$$

• $$y>66$$

• $$y>6$$

• $$y<6$$

Multiple Choice

-8b - 8 > 56 

• b > 6
• b < -8
• b > -8
• b > 7/2

Multiple Choice

-3y + 2 > 11

• y < -3
• y > -3
• y < 3
• y > 3

Multiple Choice

15 > -5 + z

• z < 20
• z > 20
• z > 10
• 10 > z

Multiple Choice

What is the solution set for

$$-8x+40>-16$$  ?

• $$x>7$$  

• $$x<7$$  

• $$x>-3$$  

• $$x<-3$$  

Open Ended

How well do you feel you understand today's concept on solving One Variable Two Step Inequalities?