Main Idea and New Vocabulary

NGSSS

Key Concept:Division Property of Equality

Example 1:Solve Multiplication Equations

Example 2:Solve Multiplication Equations

Example 3:Real-World Example: Solve aMultiplication Equation

Key Concept:Multiplication Property of Equality

Example 4: Solve Division Equations

Example 5: Real-World Example: Solve a DivisionEquation

Five-Minute Check

• Solve one-step multiplication and division equations.

• coefficient

• formula

MA.7.A.3.3 Formulate and use different strategies to solve one-step and two-step linear equations, including equations with rational coefficients.

Solve Multiplication Equations

Solve 39 = 3y. Check your solution.

Check

39 = 3y Write the equation.

Division Property of Equality

13 = y Simplify.

39 = 3y Write the original equation.?

 39 = 3(13) Replace y with 13.

39 = 39 The sentence is true.

Answer: The solution is 13.

Solve 21 = 3z. Check your solution.

A. 63

B. 24

C. 8

D. 7

Solve −4z = 60. Check your solution.

Solve Multiplication Equations

Answer: The solution is –15.

–4z = 60 Write the equation.

z = –15 60 ÷ (–4) = –15

–4z = 60 Write the original equation.?

 –4(–15) = 60 Replace z with –15.

60 = 60 The sentence is true.

Division Property of Equality

Check

Solve 12x = 36. Check your solution.

A. 3

B. 4

C. 24

D. 48

MAIL Serena mailed 138 letters during the last 6 days. On average, how many letters did she mail each day?

Solve a Multiplication Equation

Answer: Serena mailed 23 letters each day.

138 = 6ℓ Write the equation.

23 = ℓ 138 ÷ 6 = 23

Division Property of Equality

Solve a Multiplication Equation

PIZZA The student council has $175 for a pizza party. Pizzas cost $7 each. How many pizzas can they buy?

A. 22 pizzas

B. 24 pizzas

C. 25 pizzas

D. 32 pizzas

Solve Division Equations

Solve

m = –20 –10 ● (2) = –20

Write the equation.

Multiplication Property ofEquality

Answer: The solution is –20.

Solve

A. –1

B. 7

C. –7

D. –12

DISTANCE The distance d that Lance travels on

his bike at a rate of 20 miles per hour for 4 hours

is given by the equation How far did he

ride?

Solve a Division Equation

d = 80 20 ● 4 = 80

Write the equation.

Multiplication Property ofEquality

Answer: Lance rode 80 miles.

DISTANCE Kevin is driving an average rate of

60 miles per hour. He has been driving for 2 hours.

The distance he has traveled is given by the

equation How far has Kevin driven?

A. 120 miles

B. 62 miles

C. 60 miles

D. 30 miles

Solve 5x = 35. Check your solution.

A. 7

B. 30

C. 40

D. 175

Solve −8z = 48. Check your solution.

A. –7

B. –6

C. 6

D. 8

Solve = 7. Check your solution.

A.

B.

C. 3

D. 28

Solve . Check your solution.

A. 45

B. –45

C.

D.

Gina wants to buy party favors that cost $4 each. She has a total of $36 to spend. How many party favors can she buy?

A. 4x = 36; 8 party favors

B. 4x = 36; 9 party favors

C. 36 = x – 4; 40 party favors

D. 36 = x + 4; 32 party favors

A package of 8 juice bottles costs $12. Find the price per bottle.

A. $0.67

B. $1.50

C. $4.00

D. $9.60