Introduction to Equations

Introduction to Equations

Step 1: Review of Inverse Operations

Addition and Subtraction are Inverse Operations

Multiplication and Division are Inverse Operations

Inverse Operations

• Addition is the opposite or inverse of subtraction.

• Subtraction is the opposite or inverse of addition.

• When working with equations we can solve for a given variable by using inverse or opposite math operations of numbers to get the variable alone..

Inverse Operations

• Multiplication is the opposite or inverse of division.

• Division is the opposite or inverse of multiplication.

• When working with equations we can solve for a given variable by using inverse or opposite math operations of numbers to get the variable alone..

Inverse Operations

• Similar to Fact Families You learned in elementary school for addition and subtraction

• If 6 plus 4 equals 10 then 10 subtract 4 equals 6

• If 28 minus 10 equals 18 then 18 increased by 10 equals 28

• Inverse operation or opposite operation are new words but are simply fact families you already know from elementary school.

Inverse Operations

• Similar to Fact Families You learned in elementary school for multiplication and division

• If 7 times 3 equals 21 then 21 divided by 3 equals 7

• If 50 divided by 10 equals 5 then 5 multiplied by 10 equals 50

• Inverse operation or opposite operation are new words but are simply fact families you already know from elementary school.

Step 2: Let's Practice Inverse Operations

Addition and Subtraction are Inverse Operations

Multiplication and Division are Inverse Operations

Multiple Choice

If  $3\ +\ 4\ =\ 7$   then the inverse or opposite operation is:

• addition

  
  $+$
  

• subtraction
  $-$

• multiplication

  $\times$
  

• division

  $\div$

Multiple Choice

If  $15\ -\ 8\ =\ 7$   then the inverse or opposite operation is:

• addition

  
  $+$
  

• subtraction
  $-$

• multiplication

  $\times$
  

• division

  $\div$

Multiple Choice

If  $5\ +\ 6\ =\ 11$   then the inverse or opposite operation is:

• addition

  
  $+$
  

• subtraction
  $-$

• multiplication

  $\times$
  

• division

  $\div$

Multiple Choice

If  $24-18=6$   then the inverse or opposite operation is:

• addition

  
  $+$
  

• subtraction
  $-$

• multiplication

  $\times$
  

• division

  $\div$

Multiple Choice

If  $24\div8=3$   then the inverse or opposite operation is:

• addition

  
  $+$
  

• subtraction
  $-$

• multiplication

  $\times$
  

• division

  $\div$

Multiple Choice

If  $9\times5=45$   then the inverse or opposite operation is:

• addition

  
  $+$
  

• subtraction
  $-$

• multiplication

  $\times$
  

• division

  $\div$

Multiple Choice

If  $50\div5=10$   then the inverse or opposite operation is:

• addition

  
  $+$
  

• subtraction
  $-$

• multiplication

  $\times$
  

• division

  $\div$

Multiple Choice

If  $7\times5=35$   then the inverse or opposite operation is:

• addition

  
  $+$
  

• subtraction
  $-$

• multiplication

  $\times$
  

• division

  $\div$

Multiple Choice

 $13-7=6$  

What is the inverse operation of 13 - 7 = 6

• 13 - 6 = 7

• 6 + 7 = 13

• 13 + 7 = 20

Multiple Choice

If  $5+2=7$    then the inverse operation is:

• 7 + 2 = 9

• 7 - 2 = 5

• 2 + 5 = 7

Multiple Choice

If   $30\div5=6$   then the inverse operation is:

•  $6\times5=30$  

•  $30\div6=5$  

•  $30-5=25$  

Multiple Choice

If   $7\times5=35$   then the inverse operation is:

•  $5+7=12$  

•  $5\times7=35$  
  

•  $35\div5=7$