Solving Two step Inequalities

Solving Two step Inequalities

7.11B

You should know the 

parts of an expression!!

• The variable is a letter (a-z) that represents an unknown number

• Coefficient - the number in front of the variable.

• Constant- numbers that stand alone (has no variable).

• Terms - the parts of an expression separated by an operation 

   $+,\ -,\ \times,\ \div$  

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.

I do!

Watch and learn

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.

We do!

Help me help you!

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.

You do!

Try it out on your own!

Multiple Choice

What is the solution set for

 $-8x+40>-16$  ?

•  $x>7$  
  

•  $x<7$  
  

•  $x>-3$  

•  $x<-3$