Expressions and Equations

Distributing

100

-3(2x+8)

-6x-24

200

6(3x-4)

18x-24

300

-5(12x-30)

-60x+150

400

-2x(13+5x)

-26x - 10x²

500

2.5(-x+2)

-2.5x + 5

Combing Like Terms

100

14x - 19 + 23x – 15

37x-34

200

-5xy - 12x - 7xy +11y

-12xy-12x+11y

300

11x + 7 + 13x - 22x

-2x+7 or 7-2x

400

-4x - 9 + 5x

x - 9

500

( 6x + 9 ) + 3( 10x + 15 )

36x+54

One Step Equations

100

7x=49

x=7

200

x-14= -9

x=5

300

x/6=12

x=72

400

6.5+x=10

x=3.5

500

1/7x=5

x=35

Two Step Equations

100

x/3 + 5 = 10

x=15

200

-13 + 5x= 7

x=4

300

-7x- 11= 17

x=-4

400

-4a +5 = -27

a=8

500

x/5+12=2

x=-50

Definitions

100

What is an equation?

A mathematical statement that shows that two mathematical expressions are equal.

200

What is the distributive property?

Describes how we can distribute multiplication over addition and subtraction.

300

What are like terms?

Terms whose variables (such as x or y) with their exponents (such as the 2 in x2) are the same.

400

What is a constant?

In Algebra, a constant is a number on its own.

500

What is a variable?

A symbol, typically a letter, used to represent an unknown quantity or a number that can change or vary