Algebra 1 - CFA 4

Distribution Property

100

2(h - 3) = 10

2h - 6 = 10

200

18 = 3(4 + f)

18 = 12 + 3f

300

-4(2d + 3) = -20

-8d - 12 = -20

400

-10 = 5(-3g+4)

-10 = -15g+20

500

2(x+3) = 3(x-9)

2x + 6 = 3x - 27

Combine Like Terms

100

4r + 3 - 5r = 4

-r + 3 = 4

200

9n - 6 + 5n = 22

14n - 6 = 22

300

23 = 2p + 2 + 5p

23 = 7p + 2 

400

3x + 4 - 5x = 2 + 3x + 9

-2x + 4  = 11 + 3x 

500

3x - 3 - 5x = 2 + 3x + 5

-2x - 3 = 7 + 3x 

Move the Variable to One Side

100

3x - 3 = 4 + 4x

-3 = 4 + x

-x - 3 = 4

200

x + 3 = 15 + 4x

3 = 15 + 3x

-3x + 3 = 15

300

-11 - 2x = x + 7

-11 - 3x = 7

-11 = 3x + 7

400

-8 + 3p = p + 2

-8 + 2p = 2

-8 = -2p + 2

500

-8 + 8m = 8m - 2

-8 = -2

Opposite Operations

100

5 = 13 + b

-8 = b

200

a - 3 = -11

a = -8

300

8n = 56

n = 7

400

52 = 16 + 4n

9 = n

500

36 + -4n = -40

n = 19

Substitution

100

If b = 3, then is it correct?

16 = 13 + b

Yes, cause

16 = 16

200

If c = 4, then is it correct?

5c = 20

Yes, cause

20 = 20

300

If f = -2, then is it correct?

3 = 14 + 5f

No, cause

3 = 4

400

If v = 0, then is it correct?

v + 7 = 7 - 3v

Yes, cause

7 = 7

500

If b = 1, then is it correct?

3 - 2b - 2 = 0

No, cause

-1 = 0