Unit 2 - Solving Equations and Translating between words and Algebra

One-Step Equations

100

x - 17 = -6

x = 11

200

13 = y/-2

y = -26

300

-6h = -42

h = 7

400

(3/4)x = 9

x = 12

500

19 = x - (-4)

x = 15

Two-Step Equations

100

2x - 3 = 27

x = 15

200

-4 = 8 + 4y

y = -3

300

(k + 4)/-3 = 6

k = -22

400

x/5 - 13 = -1

x = 60

500

8(y + 6) = -24

y = -9

Multi-Step Equations

100

3x + 4x = 14

x = 2

200

-12 = -3 + 5y - 8y

y = 3

300

6(h - 14) = -18

h = 11

400

7 + 3(x + 11) = 79

x = 13

500

19 = 6x - (4x - 7)

x = 6

Writing Expressions and Equations

100

The sum of a number and 14 is 37.

x + 14 = 37

200

76 less than a number

y - 76

300

Twenty-seven is the product of nine and a number.

27 = 9x

400

The difference of the absolute value of six and a number is fourteen.

l6l - x = 14

500

The quotient of a number and -17

y/-17

Absolute Value and other Equations

100

l x - 9 l + 20 = 20

x = 9

200

-4x + 5 = -8x - 15

x = -5

300

l 2x - 7 l = 5

x = 6 or x = 1

400

-4 l x + 3 l - 2 = 2

No Solution

500

13 = l y l

y = 13 or y = -13