1. Solving Multiplication and Division Equations
Lesson 2-7

2. CCS: 6.EE.5. Understand solving an equation as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation true. 6.EE.6. Use variables to represent numbers and write expressions when solving a real-world or mathematical problem
OBJECTIVES:
Solve one-step equations using multiplication and division
Evaluate exponents

3. Procedure
Isolate the variable by performing the inverse operation on the number that is attached to the variable.
The inverse of multiplication is division. The inverse of division is multiplication.
Use the “Golden Rule.” Perform the same operation on the other side of the equal sign.

4. Example
m ÷ 3 = 10
The inverse of division is multiplication.
x 3
x 3
Repeat the operation on the other side. 30 m =

5. Check. Use the original equation.
m ÷ 3 = 10
30 ÷ 3 = 10
10 = 10

6. Example 2
The inverse of multiplying is dividing.
7b = 105
÷ 7
÷ 7 1 5
105 7
b = 15 7 3 5 35

7. Check
7b = 105
7(15) = 105
105 = 105

8. Explain what you would do to solve the following equation: c ÷ 63 = 8
MULTIPLY each side of the equation by 63 to undo the equation.
C ÷ 63= 7
C x 63= 7 x 63
C= 441
How many people thought the answer was 9?

9. Exponents
Review

10. Vocabulary
exponent – the number of times a number is multiplied by itself.
base – the number that is being multiplied.
exponent 83
base
This is read “8 to the 3rd power” or “8 cubed.”
It means 8 x 8 x 8.

11. Evaluating Exponents 25
= 2 x 2 x 2 x 2 x 2
= 32
= 6 x 6 x 6
= 216 63
1.34
= 1.3 x 1.3 x 1.3 x 1.3 =

12. Classwork Homework Pg. 97, 2-42 EVEN
Play this Alien Powers game to help you practice evaluating exponents. The first level are squares and the next levels move up in exponents. Try to beat all three levels!
Play this version of Connect Four - Earn a game piece each time you answer an equation question correctly and try to beat your partner!
Homework
Pg. 97, 2-42 EVEN