6th Grade Math Textbook, Fundamentals

Lesson 2-8 for exercise sets. &KDSWHU 

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Solve and check.

1. 7 x 12  16 2.  9  12 3.  9

4. 21  8 x 5 5. 34  10  4 c 6.  6  1

7.Discuss and Write Are these two equations the same: 6 and 54()6?

Explain your answer.

63

x

n

3

1

x

54

x

t

 2

Solve: 6 x 16  8

6 x 16  16  8  16

6 x 24 Simplify.

6 x 6  24  6

x 4

Use the Division Property

of Equality.

Use the Addition Property

of Equality.

1

You can solve two-step equations without using tiles. To solve a two-step

equation, use inverse operations to isolate the variable. Often, the first

step is to add or subtract to isolate the term that contains the variable.

The next step is to multiply or divide to isolate the variable.

Check: 6 x 16  8

6(4) 16 8

24 16 8 Simplify.

8  8 Tr u e

?

? Substitute 4

for x.

Solve: 3  1

3  3  1  3

 2

(9)(2)

x 18





9

9

1

1

 x

x

 9

x

9

x

9

Use the Multiplication

Property of Equality.

Use the Subtraction

Property of Equality.

(^2) Check: 3  1
3  1
3 2 1 Simplify.
1  1 Tr u e
?
(^18) ?
9
x
9
Substitute 18
for x.
Solve:  6
 6 x
54  6 x Simplify.

9 x
6 • x
6
54
6
x^54 x
54
x
Divide both sides by 6 to isolate x.
Multiply both sides by xso the variable
will not be below the division bar.
3 Check:  6
6 Substitute 9 for x.
6  6 Tr u e
54
9
54
x
?
x 9  9 xx 9