ALGEBRA READINESS LESSON 3-3 Warm Up Lesson 3-3 Warm Up
ALGEBRA READINESS LESSON 3-3 Warm Up Lesson 3-3 Warm Up
ALGEBRA READINESS “Solving Multiplication and Division Equations” (3-3) (3-1) What is the “Division Property of Equality”? Rule: Division Property of Equality: If you divide both sides of an Equality by the same number, both sides remain equal. If a = b, then a c = b c Example: If 10 2 = 5, then = = 1 1 = 1 10
ALGEBRA READINESS Solve 6x = x = 144 1x = 24 Simplify. 6x = Use the Division Property of Equality to get rid of the 6 and isolate the variable. Solving Multiplication and Division Equations LESSON 3-3 Additional Examples 1 1 x = 24 Identity Property of Multiplication.
ALGEBRA READINESS The cost of a pay-per-view concert on television is $ Five friends decide to watch the concert together and split the cost equally. What amount will each friend pay? Draw a diagram to model the situation. $39.95 ccccc Let c = each person’s share of the cost of the concert. The equation 5c = models this situation. Each friend’s share is $ c = Write the equation. c = Divide each side by 5 to undo the multiplication. 1c = 7.99 Simplify. Solving Multiplication and Division Equations LESSON 3-3 Additional Examples
ALGEBRA READINESS “Solving Multiplication and Division Equations” (3-3) (3-1) What is the “Multiplication Property of Equality”? Rule: Multiplication Property of Equality: If you multiply both sides of an equality by the same number, both sides remain equal. If a = b, then ac = bc Example: If 3 10 = 30, then (3 10) 2 = 30 (2) 30 (2) = = 60
ALGEBRA READINESS Solve = 9. 1x = 54 Simplify. x6x6 Simplify. = 9 6 x6x6 () Solving Multiplication and Division Equations LESSON 3-3 Additional Examples Use the Multiplication Property of Equality to get rid of the 6 and isolate the variable. = 9 x6x6 ()
ALGEBRA READINESS Solve each equation. 1.6x = 1562.y ÷ 11 = w = z ÷ 2.7 = Solving Multiplication and Division Equations LESSON 3-3 Lesson Quiz