Algebra 1 Topic 1 Review (Equations )

Combing Like Terms

100

What is (x+ x) + 17 = 43?

2x + 17 = 43

2x + 17 - 17 = 43 -17

2x = 26

2x / 2= 26 /2

x=13

200

Combine like terms: 3-2x+6x

4x + 3

300

Combine like terms

 3x + 14x + 2 + x =

17x + 2 + x 

18x + 2 

400

 4x -2x + 8 +3x -1

5x+7

500

 7q + 5q - 4 + 3 

12q - 1 

one-step/two-stepequations 1

100

2x = 20

x = 10

200

3x + 7 = 16

 What is x = 3

300

4x = 20

x = 5

400

2y = 28

y = 14

500

2/3x-6 = -2

(2/3)x - 6 = -2

(3/2)(2/3)x = 4(3/2)

x = 12/2

x = 6

Multi-step equations

100

4x + 3x - 13 = 2x + 2?

4x + 3x - 13 = 2x + 2

-2x + 4x + 3x - 13 = 2

5x = 15

x = 3

200

What is 9n-5n - 6 = 5n-5n + 18?

9n-5n - 6 = 5n-5n + 18

4n-6 +6 = 18 +6

4n= 24

n= 6

300

5x+2 - 3 = 7

5x + 2 - 3 = 7

5x - 1 = 7

5x = 8

x = 8/5

400

Multistep Equations: -8x -3x+ 2x= 33+ 2x

-8x - 3x + 2x = 33 + 2x

-8x - 3x + 2x -2x  = 33

-11x = 33

x = -3

500

Multistep Equations: How do you solve a multi-step equations?

- Distribute 

- Combining like terms

- Inverse Operations

Mix

100

5x + 2 - 3 + x = 11

5x + 2 - 3 + x = 11

6x - 1 = 11

6x = 12

x = 2

200

5x=15

x = 3

300

2 - (8x - 2) - 4x = 28

2 _(8x - 2) - 4x =28

2 - 8x +2 - 4x = 28

-12x + 4 - 4 = 28 -4

-12x/-12 = 24/-12

x = -2

400

10x - 8x - 4 = 8x - 2x + 8

10x - 8x - 4 = 8x - 2x + 8

2x - 4 = 6x + 8

-4x - 4 = 8

-4x = 12

x = -3

500

2x + 10  - 7 = 3x - 6

2x + 10  - 7 = 3x - 6

2x - 2x + 3 = 3x - 2x - 6

3 = x - 6

3+6 = x - 6 + 6

9 = x