Solving Equations

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

3 = -2 – x

x= -5

400

5x = -80

x= -16

500

-16 = x+2

x= -18

Two-Step Equations

100

6x – 13 = 11

x= 4

200

3x + 5 = 14

x= 3

300

x/2 + 13 =-8

x= -42

400

x/2 + 5 =10

x= 10

500

x/3 - 6 = -3

x= 9

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

x = 1

200

Solving Equations

4 - 5x = 29

x = -5

300

Solving Equations

-45 = x + 4

x = -7

400

Solving Equations

14 = (3a + 6) + 2

a=2

500

Solving Equations

-21 = 7(5k - 8)

k = 1

Mixed Equations

100

Solving Equations

x - 2 = 6

x = 8

200

Solving Equations

-5p + 1 = 6

p = -1

300

Solving Equations

x -1/3 = 4/5

x=17/15

400

Solving Equations

5(m-3) = 4

m = 19/5

500

Solving Equations

2 1/3x = −3

x =-9/7

Translating Equations

100

The sum of a number x and five

x+5

200

The quotient of 5 and a number

5/n

300

Three times the difference of m and n

3(m-n)

400

Six less than the product of a number and three.

3n-6

500

The sum of x and seven is equal to half the difference of x and nine.

x+7 = 1/2(x-9)

Perimeter

100

If the length is 5 more than the width, how would you write that algebraically? 

5+ w or w+5

200

If the length is 2 more than 3 times the width, how would you write that algebraically?

2+3w or 3w + 2

300

How do you set up a perimeter equation if you're given the perimeter and are looking for the side lengths?

Add up all the sides and set it equal to the perimeter

400

If the length is 3 less than 7 times the width, how would you write this algebraically?

7w - 3

500

How would you "check" your answer if you've found the length and width of a rectangle having been given the perimeter?

Label the rectangle, add all 4 sides, and make sure it equals the perimeter.