# Solving Equations by Multiplying or Dividing

## Presentation on theme: "Solving Equations by Multiplying or Dividing"— Presentation transcript:

Solving Equations by Multiplying or Dividing
Multiplication Property of Equality – you can multiply both sides of an equation by the same #, and the statement will still be true. Example: Solve the equation 8x = 32 for x Step 1: write the equation 8x = 32 Step 2: decide what needs to the 8 needs to move be moved to the other side in order to isolate the variable Step 3: perform the opposite operation 8x/8 = 32/8 to move the constant to the other side Step 4: solve/simplify/evaluate x = 4 Step 5: check your work!

Division Property of Equality – you can divide both sides of an equation by the same nonzero #, and the statement will still be true. Example: Solve the equation n/5 = 7 for n Step 1: write the equation n/5 = 7 Step 2: decide what needs to the 5 needs to move be moved to the other side in order to isolate the variable Step 3: perform the opposite operation (n/5) (5) = (7) (5) to move the constant to the other side Step 4: solve/simplify/evaluate n = 35 Step 5: check your work!

Jack has saved \$50, which is one-fourth of the amount he
Example: Jack has saved \$50, which is one-fourth of the amount he needs for a school trip. What is the total amount he needs? Step 1: what are they asking for? Total cost of the trip Step 2: what do we know? \$50 saved that is only ¼ of the total Step 3: write an equation ¼ times the total cost = \$50 ¼ t = 50 Step 4: solve for the variable (¼ t )(1/4)= (50) (1/4) t = 200 Total cost of the trip is \$200 Step 5: Now make sure that makes sense!

Solving A 2-Step Problem
Sometimes you may have to do 2 inverse operations to solve for a variable. Example: Solve 3y – 7 = 20 Step 1: write the problem 3y – 7 = 20 Step 2: move the constant to 3y – = the other side Step 3: simplify 3y = 27 Step 4: move the coefficient to (3y) / 3 = (27) / 3 Step 5: simplify/solve y = 9 Step 6: check your work!

Download ppt "Solving Equations by Multiplying or Dividing"

Similar presentations