7th Grade Math

Multiplication and Division Equations

PART A B CD

Multi-Part

Lesson 2

Get ConnectED

GLE 0706.3.8

Use a variety of strategies

to efficiently solve linear

equations and inequalities.

SPI 0706.3.7 Translate

between verbal and

symbolic representations of

real-world phenomena

involving linear equations.

Also addresses GLE 0706.1.4,

GLE 0706.1.8, GLE 0706.3.7.

Lesson 2B Multiplication and Division Equations 215

Main Idea

Solve one-step

multiplication and

division equations.

Vocabulary

coefficient

formula

Solve One-Step Multiplication

and Division Equations

Suppose three friends order an appetizer of

nachos that costs $6. They agree to split the cost equally. The figure

below illustrates the multiplication equation 3x = 6, where x

represents the amount each friend pays.

Y 11

Y

Y

Y

11

11

11

=

Y

Y

11

=^11

3 x = 62 x =

Since there

are 3 xs, each

x is matched

with $2.

The solution of 3x = 6 is 2. So, each friend pays $2.

Solve each equation using models or a drawing.

1. 3x = 12 3. 8 = 2x


2. 2x = - 8 4. 3x = - 9


3. What operation did you use to find each solution?


4. How can you use the 8 being multiplied by x to solve 8x = 40?

The expression 3x means 3 times the value of x. The numerical factor of

a multiplication expression like 3x is called a coefficient. So, 3 is the

coefficient of 3x.

Division Property of Equality

Words If you divide each side of an equation by the same nonzero

number, the two sides remain equal.

Symbols If a = b and c ≠ 0, then _a

c

= _b

c

.

Examples Numbers Algebra

8 = 8 2x = - 6

_^82 = _ 28 _^22 x = _- 26

4 = 4 x = - 3

V

c

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