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Observation…. How is problem #1 different from problem #2?. How is problem #3 different from problem #4?. 5x = 20. 3). 214 = y + 112. 1). This is a one -step equation. This is a one -step equation. 214 = 2 y + 112. 5x - 25 = 20. 4). 2). This is a two -step equation.

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Observation
Observation…

How is problem #1 different from problem #2?

How is problem #3 different from problem #4?

5x = 20

3)

214 = y + 112

1)

This is a one-step equation.

This is a one-step equation.

214 = 2y + 112

5x - 25 = 20

4)

2)

This is a two-step equation.

This is a two-step equation.


Solving equations in two steps
Solving equations in two steps

Goal:

1st step:

2nd step:

Tips:


Solving equations in two steps1

get the variable (letter) by itself.

- 8 = 12

= 20

x

x

4

4

Solving equations in two steps

Goal:

undo addition or subtraction

1st step:

3x + 10 = 37

-10

-10

+8

+8

4 

3x = 27

 4

2nd step:

undo multiplication or division

3

3

x = 80

x = 9

Circle your answer.

SHOW YOUR WORK!

Draw a line down the equal sign.

Cross #s out when they’re cancelled.

Read the equation.

Tips:


Example problems
Example Problems

Solve for the variable:

6a – 14 = 10

+ 14 +14

- 7 - 7

6a = 24

2 •

= 3

• 2

  • 6 6

a = 4

X = 6


Practice Problems

29 = 8 + 3y

- 8 - 8

- 7 - 7

21 = 3y

3 3

7 = y

36 = w


4.2y + 6.18 = 50.7

- 6.18 - 6.18

- 25 - 25

4.2 y = 44.52

9 •

• 9

4.2 4.2

x = 684

y = 10.6


The Petite River is 46 miles long. The Zigzag River is 114 miles longer than twice the Petite River. How long is the Zigzag River?

z =

114 +

2 • 46

z = 114 + 92

z = 206

The Zigzag River is 206 miles long.


Max is 13 years old. His age is 2 more than his father’s age divided by 4. How old is Max’s dad?

13

= 2 +

- 2 - 2

4 •

• 4

44 = d

Max’s dad is 44 years old.


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