Algebra 1 - Ch 1 Review

Vocabulary

100

What is a letter used to represent an unknown number?

Variable

200

What is a mathematical expression that contains numbers, variables, and operations?

Algebraic Expression

300

What are terms that have the same variables raised to the same powers called?

Like Terms

400

What algebraic expression represents:

Seven less than twice a number

2x - 7

500

What is the difference between an expression and an equation?

Expression does not contain an equal sign. An equation does contain an equal sign. 

Evaluate

100

4x - 5 when x = 6

19

200

2x² + 3 when x = 4

35

300

-2t³ when x = 5

-250

400

2x² - 3x + 4 when x = -3

31

500

3x² - 4xy + 2y² when x = -2 and y = 3

54

Properties

100

4 x 0 = 0

Zero Property

200

2 x 1/2 = 1

Inverse Property

300

4(x + 3) = 4x + 12

Distributive Property

400

5 + 7 = 7 + 5

Commutative Property

500

(2 + 3) + 4 = 2 + (3 + 4)

Associative Property

Functions

100

f(x) = 2x + 7

f(5) =

17

200

f(x) = x² - 4x + 3

Find f(-2)

15

300

Is this a function? why or why not.

{(1, 4), (2, 5), (3, 6), (4, 7)}

Yes, every input has one output

400

Is this relation below a function? Explain why or why not.

{(2, 5), (4, 7), (2, 9), (6, 11)}

No, because the input 2 has two different outputs: 5 and 9

500

Given: f(x) = 3x² - 2x + 4

Find: f(-3)

37

Simplify

100

5x + 3 - 2x

3x + 3

200

4(x + 3)

4x + 12

300

3(2x - 5) + 4x

10x - 15

400

5(2x - 3) - 3(x+1)

7x - 18

500

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

7x - 27