Algebra Recap

Order of Operations

100

|-11| - |-5|

6

200

10 + 8 - 4²

2

300

(-3)³ - 2 + 8 / (-8)

-30

400

[(-5+1) / 2]³ - |-7|

-15

500

(13 + 7² / 7) / (9 - 20 / 4 + 16)

1

Translating

100

The sum of twice a number and 7

2x + 7

200

Four less than a number squared

x² - 4

300

A number is no less than 10

x (greater than or equal to) 10

400

Five times the sum of a number and 6 is 48

5(x + 6) = 48

500

Four less than the product of a number and 7 is eight more than that number

7x - 4 = x + 8

Solving Equations

100

-7y = -91

y = 13

200

13 - (3/2)x = 37

-16

300

2(5x + 7) = 34

x = 2

400

3x - 13 = 7(x + 2) - 4(x - 7)

No Solution

500

7(x + 3) + 9 = 5(x - 2) - 3x

x = -8

Proportions

100

x / 4 = 3 / 2

x = 6

200

3 / 10 = x + 7 / 20

x = - 1

300

x / 7 = x + 4 / 7

x = 3

400

3 / 16y = 1 / y + 13

y = 3

500

x + 2 / 6 = 2x - 10 / 8

x = 19

Distributive Property

100

-4(x + 3)

-4x - 12

200

8(2x - 3) - 6x

10x - 24

300

(1/4)(8x - 4)

2x - 1

400

x(2y - 5z + 1)

2xy - 5xz + 1x

500

6 + 8(4x - 7) - (2x + 1)

-51 + 30x