Solving Two-Step Inequalities

Solving Two step Inequalities

7.11B

Reminders:

• Goal: Get the variable by itself

• Start on the side with the variable

• What you do to one side, do to the other!

Multiple Choice

A variable is represented as a....

• Number

• Letter

Multiple Choice

What does inequality mean?

• equal

• not equal

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

TRUE or FALSE: Inequalities contain equal signs.

• TRUE

• FALSE

Multiple Choice

What is the opposite of addition?

• Subtraction

• Multiplication

• Division

Multiple Choice

What is the opposite of multiplication?

• Addition

• Subtraction

• Division

Multiple Choice

What is the value of x?

• x > 3

• x ≤ ⅕

• x ≥ 3

• x ≤ ⅕

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.

​ + 10 +10

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.

​ + 10 +10

-4x </ 12

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.

​ + 10 +10

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.

​ + 10 +10

Multiple Choice

Do I need to flip my sign?
-3x  ≥ 12

• Yes, because I'll be dividing by a negative number
• No, because you never flip the sign. 

Multiple Choice

When solving the following inequality, what is the FIRST step you would do? -4x + 8 > -15

• Add 8 to both sides of the inequality.

• Divide by negative four on both sides of the inequality.

• Subtract negative eight to both sides of the inequality.

• Subtract eight to both sides of the inequality.

Multiple Choice

What is the solution set for

$$-8x+40>-16$$  ?

• $$x>7$$  
  

• $$x<7$$  
  

• $$x>-3$$  

• $$x<-3$$  

Poll

How do you feel about solving two-step equations?

• I can TEACH someone

• I understand

• I almost got it

• I don't get it