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100

A letter used to represent an unknown number.

A variable

100

2x + 5 = 17

x = 6

100

 x   + 13 = 10
-4                 

x = 12

100

2(x + 4) = 14

x = 3

100
Riley and her friends went to the Color Splat paint-tag course last weekend. The course charges $40 for an hour of group tag plus a rental fee for each paint marker. Riley's group played for one hour, rented 6 paint markers, and paid a total of $94. 

6x + 40 =94

200

What is the inverse operation of addition?

Subtraction

200

6 + 2x = 6

x = 1

200

11 = 2x - (-7)

x = 2

200

4(x - 13) = 12

x = 16
200
Madelyn got 3 dresses cleaned at Steamboat Dry Cleaners. When she picked up her dresses, she gave the cashier a coupon that took $2 off her total. Madelyn paid $31 in all. 

3x - 2 = 31

300

What is the first step two solving a word problem?

Define the variable.

300

5 + 6x = 29

x = 4

300

-15 = -3x + 2x

x = -6

300

5(x - 11) = 20

x = 15

300
The Color Crate Exchange sends a new art activity in the mail each month. Nora prepaid a 6-month subscription for her son. She signed up during their spring sale and received $12 off the total cost. Nora paid $78 in all. 

6x - 12 = 78

400
A number right in front of a variable
What is a coefficient?
400

x - 28 = -11
   -3              

x = 61

400

7 - 7x = 56

x = -7

400

-6 = -3(x - 16)

x = 18

400

The members of Starville High School's student council are planning this year's school carnival. For the raffle, they plan to order one roll of 100 golden tickets. For the carnival games, they plan to order red tickets that come in rolls of 250. Based on last year's numbers, they plan to order a total of 1,600 tickets.

250x + 100 = 1,600

500

What is an equation?

It uses an equal sign to show that two expressions are equal.

500

x - 6 = 0
  -8         

x = 6

500

 x  - 3 = 4
-3            

x = -21

500

68 = -2(x + 32)

x = -66

500

Reggie works at Bright Bouquets flower shop. Yesterday, he made 4 centerpieces, which would normally use up an entire shipment of roses. In the shop's latest shipment, 12 roses were wilted, so Reggie couldn't use them. He used the remaining 36 roses in the centerpieces.

4x - 12 = 36