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

The number in front of a variable is called this.

Coefficient

Two Step Equations

100

-2x + 1 = 5

x=-2

200

x/3-4=11

x=5

300

-2x-5=-11

x=3

400

x/2 + 1 = -6

x=-14

500

2x - 5 = -4

x=1/2

One step equations

100

x/10 = 3

30

200

8x = -64

-8

300

x + 5 = - 9

-14

400

x - 8 = -10

-2

500

2/3x = -4

x= -6

Simplify Expressions

100

Simplify:

3(x+2)

3x + 6

200

Simplify

-4 (m + 9)

-4m - 36

300

Simplify:

3x - 2y + 4y - 9x  

-6x + 2y

400

Simplify:

(3x + 4) - (-2x - 5)

5x + 9

500

Simplify:

-2 (-3x + 4) - 2.8

6x - 10.8

Word Problems

100

Write the word sentence as an equation. 

 Six more than a number x, is 23

x + 6 = 23

200

Write the word sentence as an equation. 

five less than twice a variable is ten. 

2x - 5 = 10

300

Write an equation that best represents the scenario: 

This weekend the temperature is 8 degrees. It decreased 12 degrees from last weekend. What was the temperature last weekend?

x - 8 = 12

400

Write and simplify an expression to find the perimeter with a rectangle that has a length of (x + 3) and a width of (2x - 1)

(x+3) + (x+3) + (2x-1) + (2x-1) 

6x + 4

500

The perimeter of a room can be expressed as 

(x - 2) + (3x + 4) + (x - 2) + (3x + 4) 

Which expressions are equivalent to the perimeter of the room. Select all that apply. 

A. 8x + 12

B. 8x + 4

C. 4(2x + 1)

D. 2(4x + 4)

E. 2(x-2) + 2(3x + 4)

B, C, E