6th Grade Algebra

One-Step Equations

100

c + 3.8 = 19

c = 15.2

200

12.98 + y = 17.3

y = 4.32

300

3.7c = 31.45

c = 8.5

400

y/7.4 = 9.3

y = 68.82

500

y - 2/5 = 2/3

y = 1 1/15

Two-Step Equations

100

7 = 2r + 1

r = 3

200

4n - 3 = 9

n = 3

300

x/4 + 6.4 = 9.7

x = 64.4

400

2x/9 = 22.4

x = 100.8

500

3/4x + 2/5 = 9.7

.081

Combining Terms

100

a - 4 + 2b + a - b + 3

2a + b - 1

200

4c + 8c + 21 - 9c - 18 + 4

3c + 7

300

14.2 - 2c + 8(9c) - 8.76

70c + 5.44

400

8c(4 + 9y)

32c + 9cy

500

3c + 4(5c + 2y) + 19 - 3y

23c + 5y + 19

Translating

100

Six less than four times a number

4n - 6

200

Seven divided by the product of 4 and a number

7/4n

300

Half of 9 plus the sum of a number times 3 and four

9/2 + (3n + 4)

400

Sixteen less than two times a number is seven

2n - 16 = 7

500

Twelve times the difference of eight and a number

12(8 - n)

PEMDAS and Substitutions

100

c^a + 4a

a = 4 

c = 5

641

200

3a/b

a = 5

b = 4

3.75

300

abc - 2d

a = 2.7

b = 3.4

c = 5

d = 12.6

20.7

400

8 + [44 - (7 + 4n)]

n = 7

17

500

4³ + 18 - 6y

y=2.5

67