Numeric & Algebraic Expressions Review

Vocabulary

100

To solve an expression

Evaluate

200

A letter or symbol that represents an unknown number

Variable

300

Has at least one variable & one operation

Algebraic Expression

400

The term in an algebraic expression that remains unchanged

Constant

500

A number that is multiplied by the variable

Coefficient

Order of Operations

100

4 x 2² + 13

4 x 4 + 13

16 + 13

29

200

(12 x 5) ÷ 4 x 3

60 ÷ 4 x 3

15 x 3 

45

300

8 + 3(2² - 2)

8 + 3(4 -2)

8 + 3(2)

8 + 6

14

400

(2 x 3³) + (4 x 3) - 5

(2 x 27) + 12 - 5

54 + 12 - 5

61

500

10 + (12 - 42 ÷ 6) + 5²

10 + (12 - 7) + 25

10 + 5 + 25

15 + 25

40

Evaluate the Expression

100

3n + 4z - 2

n = 5, z=7

41

200

c³ - 2x

c= 5, x = 15

95

300

20f - (4 + 6r)

r=7, f = 3.6

26

400

4(y ÷ 2) - 7q

y = 22, q = 2.4

27.2

500

b(5 - c) ÷ 14⁰

b = 25 , c = 4.8

5

Distributive Property

100

3(x + 2)

3x + 6

200

8(5 - r)

40 -8r

300

7(3c + 9)

21c + 63

400

y(5² - 6)

19y

500

12(9v - 11)

81v - 132

Simplify the Expression

100

4x + 5 + 5x

9x + 5

200

12y + 4x - x + y

13y +3x

300

5 - 3q + 9q + 23 - q

28 + 5q

400

5y² -2y + y - 3y²

2y² - y

500

30 + 14x - 15x + 6x² - 12

18 - x + 6x²