6th Grade Math Textbook, Fundamentals

Lesson 2-6 for exercise sets. &KDSWHU 

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Solve:|54|  9 x

54  9  9 x 9

6 x

Divide both sides by 9

to isolate xand simplify.

2 Check:|54| 9 x

54 9(6) Substitute 6 for x.

54  54 Tr u e

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Kaela opens a savings account and decides to deposit $28 each week.

How long will it take her to save $700?

Let wthe number of weeks.

Solve: 28 w 700

28 • w 28  700  28

w 25

Check: 28 w 700

28(25) 700 Substitute 25 for w.

700  700 Tr u e

So it will take 25 weeks for Kaela to save $700.

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Divide both sides by 28 to isolate w.

Then simplify.

3

Sometimes you need to combine like terms before solving an equation.

Solve:n 3 n 28

4 n 28 Combine like terms (1n 3 n).

 Divide both sides by 4 to isolate nand simplify.

n 7

Check:n 3 n 28

7 3(7) 28 Substitute 7 for n.

7  21 28 Simplify.

28  28 Tr u e

Solve and check.

1. 4 x 124 2. 5 ss 48 3. 96  3 y

4. 24 x|72| 5. 6 zz 29  13 6. 144  12 n

7. 225  14 tt 8.x 36 9.x 3 x 32

10. 3 (5)  14 z 11.(2)^2 x 12. 4 x|24|

13.Discuss and Write What property would you use to solve –5a= 30?

Explain your reasoning.

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28

4

4 • n

4