Expressions and Equations

Vocabulary

100

This type of math problem has no equal sign.

Expression

200

This type of math problem has an equal sign.

Equation

300

Another word for numbers used in expressions and equations

Constant

400

Another word for the letters used in expressions and equations.

Variable

500

What type of math where numbers and symbols are used to formulate expressions and equations.

Algebra

Two Step Equations

100

2x + 1 = 5

x=2

200

3x-4=14

x=6

300

-2x-5=-11

x=3

400

5(3-x) = 30

x=-3

500

14x + 2(x - 5) - 10=-4

x=-1

One step equations

100

x / 10 = 3

30

200

8x = -64

-8

300

x + 5 = - 9

-14

400

x - 8 = -10

-2

500

20 = x + 4

16

Combine Like Terms

100

Simplify:

3(x+2)

3x + 6

200

Simplify

-4 (m + 9)

-4m - 36

300

Simplify:

3x - 9x

-6x

400

Simplify:

10x + 7 -4x-(-15)

6x + 22

500

Simplify:

9 + 7x - 11 - 12x

-5x - 2

Write the expression

100

A plumber charges a customer a one-time service fee of $79, $62 per hour for labor, and a surcharge of $15 per hour due to the call being an emergency. Write an expression to represent the total amount for x hours?  

79 + 62x + 15  or 94 + 62x 

200

Abigail’s parents pay her $5 an hour for weeding the yard and pay her little sister $3 an hour for raking leaves. Write an expression to represent the amount her parents will pay Abigail and her sister for working the same number of hours.

5h + 3H or 8H 

300

Juice is on sale with the rule “buy one, get one half-off.” Write an expression to represent the cost of buying two containers of juice on sale.

J + J(0.5) or 1.5J

400

Mr. Abad bought 2 shirts for 12.50 each and a pair of shoes that were 10% off. Write an equation to represent Mr. Abad total. 

25 + S(.90) 

500

Two pumps are used to empty a water tank. One pump can empty 14 gallons of water per minute, and the second pump can empty 20 gallons per minute. Write an expression to figure out how many gallons they can pump after "H" hours. 

14H + 20H or 34H