Algebra Basics

Combining like terms

100

3x + 14x + 2 = 121

x = 7

200

2x + 3x = ?

5x

300

3x + 5x - 2 = 14

x = 2

400

7x - 4 + 2x = 3x + 20

x = 4

500

3a + 2b + 5a + 4b

8a + 6b

Algebraic Properties

100

a+b = b + a

Commutative Property

200

a(b + c) = ab + c?

Distributive Property

300

3 + (4 + 5) = (3 + 4) + 5

Associative Property

400

What Property says that any number multiplied by 1 is itself?

Property of Multiplication

500

7 + (-7) = 0

Inverse Property of Addition

Evaluating/Subsition

100

x + 12, x = 5

17

200

3y - 4, y = 6

14

300

2a + 3b, a = 4, b = 2

14

400

x - 5, x = 6

1

500

3(6x + 5), x = 1

23

Distributive property

100

2 (x + 4) + 3x = 38

x = 6

200

2 (x+5)

(2x + 10)

300

-3(y - 6)

(-3y + 18)

400

4(x - 2) = 12

x = 5

500

5(n + 2) - 2n = 19

(n = 3)

Word Problems/More

100

A taxi chargers a flat fee of $5 plus $2 per mile. Write an expression for the cost of a ride that is m miles long.

2m + 5

200

Sam has 3 more than double the number of apples that Jen has. If Jen has a apples, how many does Sam have?

2a + 3

300

The perimeter of a square is 32 inches. What is the length of one side?

8 inches

400

You buy 4 notebooks for n dollars each and a backpack for $20. If your total is $48, what is the cost of one notebook?

$7

500

Three consecutive integers add up to 45. What is the smallest of the three integers?

14,15, and 16