Algebra Review Skills

Translating Expressions & Equations

100

The sum of 8 and a number

8 + n

200

The product of 9 and x is equal to 81

9x=81

300

7 less than a number is 20

x - 7=20

400

Three less than the product of four and w

4w - 3

500

One half the sum of 4 times y and 10 is 44

1/2 (4y + 10) = 44

Solving Equations

100

6x = -54

x = -9

200

-3 + n = 10

n = 13

300

2a + 5 = -9

a = -7

400

-9b + b = 16

b = -2

500

10x + 3 = -37

x = -4

Combining Like Terms

100

5n + 11n

16n

200

n + 4 − 9 − 5n

- 4n - 5

300

−7n − 7 − 8 + 10n

3n - 15

400

5a² - 6a + 7a² + 3a - 2 + 8a + 7

12a² + 5a + 5

500

4ab - 6ab + 3a²b + 4ab² + 5a²b

8a²b + 4ab² - 2ab

Distributive Property

100

8(1 + 6 p)

8 + 48p

200

−(9m + 7)

-9m - 7

300

−2(n − 9) + 4

−2n + 22

400

3(1 + 2v) − 3(1 + 4v)

−6v

500

4(10x + 6) − 10(9x + 9)

−50x − 66

Multi-Step Equations

100

6a + 5a = −11

a = -1

200

−5(6n + 6) = 30

n = -2

300

8v − 4(v + 8) = 8

v = 10

400

1/2 (4x + 8) - 3(x + 2) = -2

x = 0

500

2/5(10x + 5) - (-x - 4) = 11

x = 1