Simplifying Expressions & Solving Equations

Simplify

100

3x + 2 + 5x

8x + 2

200

3(x + 2) - 1

3x + 5

300

3x - 5(x - 3)

-2x + 15

400

5(x-2) - 4x

x - 10

500

Simplify Means:

1.

2.

1. Get rid of the ( ) using the distributive property.

2. Add like terms.

Solving One-Step Equations

100

x + -3 = 4

x = 7

200

4x = -16

x = -4

300

x/11 = -12

x = -132

400

x - 7 = -3

x = 4

500

3x - 7 - 2x = 14

x = 21

Solving Multi - Step Equations

100

2x + 10 = 20

x = 5

200

x/2 - 5 = 37

x = 84

300

3x + 5 + 6x = 32

x = 3

400

5 - 7x + 2 = 63

x = -8

500

-4x/5 + 2 = - 10

x = 15

Writing Equations

100

Eighteen more than twice a number is 8

18 + 2n = 8

200

The product of a number and 9, less 20 is 7.

9n - 20 = 7

300

There are 48 soccer teams in the Springtown Association.  This is three less than three times the number of teams in the Lyon Association.  

48 = 3n-3

400

Eileen swam for 85 minutes. This is 21 more minutes than4 times the number of minutes Ethan swam.  

4n + 21 = 85

500

Suppose you buy 3 same-priced t-shirts and a hat.  The hat cost $21 and you spent $60 in all.  How much is each t-shirt?

3t + 21 = 60

Solving Decimal Equations

100

4.4 + x = 39.33

x = 34.93

200

x - 8.2 = 39.76

x = 47.96

300

3.22x + 3.3 = 9.74

x = 2

400

-0.5x + 8.2 = 6.3

x = 3.8

500

5.7 - 2x = -77.35

x = 41.525