Expressions

Vocabulary

100

A letter or symbol that represents an unknown quantity

Variable

200

A number that is multiplied by a variable. For example, 3x

Coefficient

300

Each part of an expression separated by a plus or minus sign

Term

400

Terms that have the same variable attached; "same last name"

Like terms

500

Numbers without any variable attached

Constants

Evaluate Expressions

100

Evaluate if x = 12

x + 24

36

200

Evaluate if y = 32

y / 2

16

300

Evaluate if r = 8

6x - 10

38

400

Evaluate if a = 7 and b = 1/2 

7a + 20b

59

500

Evaluate if c = 5, d = 10, and e = 4

9c - 1/2d + e²

56

Distributive Property

100

Create an equivalent expression: 

5(3x + 1)

15x + 5 or 5 + 15x

200

Create an equivalent expression:

2(10 - 3y)

20 - 6y

300

Create an equivalent expression:

(8 + x)9

9x + 72 or 72 + 9x

400

Create an equivalent expression:

0.75(4x + 2)

3x + 1.5 or 1.5 + 3x

500

Create an equivalent expression:

1/2(18 - 14x)

9 - 7x

Factoring

100

Generate an equivalent expression:

4x - 40

4(x - 10)

200

Generate an equivalent expression:

16x + 48

16(x + 3)

300

Generate an equivalent expression:

12 + 18x

6(2 + 3x)

400

Generate an equivalent expression:

48x - 10

2(24x - 5)

500

Generate an equivalent expression:

36x - 50y

2(18x - 25y)

Combining like Terms

100

Simplify:

12x + 18 - 5 + 8x

20x + 13

200

Simplify:

7y + 14 - y + 3y - 10

9y + 4

300

Simplify:

54x² + 23x + 40 - 2x - 52x²

2x² + 21x + 40

400

Simplify:

3y + 14y² + 77x² - y + 6x²

83x² + 14y² + 2y 

500

Simplify:

12x⁴ + 5x² + 17x - 8x - 9x⁴ - x²

3x⁴ + 4x² + 9x