Topic 3 Review

Expressions

100

Terms that contain the same variable(s) raised to the same exponent. These terms can be combined. Example: 3x + 9x or 7y + 3Y

What are like terms?

200

A mathematical phrase that contains numbers, operations, and/or variables (but no = sign). Example: 5x + 4y + 5 - 2x

What is an expression?

300

Give the algebraic expression that represents the difference of nine cubed and four

What is 9² - 4

400

How many terms are in the following expression:

12b ÷ 6 + 3

What is 2

500

Roger notices that when he doubles his number of cards and adds 3, the amount is the same as the number of cars Johnny has.   Give the algebraic expression representing the number of cars Roger has, in terms of the number of cars Johnny has, j. 

What is 2j + 3

Distributive Property

100

Simplify

8(3x + 5)

What is 24x + 40

200

Simplify

3(m - 9)

3m - 27

300

Simplify

10 + 5(4k - 2)

What is 20k

400

Simplify

7(2w - 3) + 6w

What is 20w - 21

500

Simplify

2(6y + 3) + 9(4y - 2)

What is 48y - 12

Factoring

100

Put in factored form

6 + 10

What is 2(3 + 5)

200

Put in factored form

14g - 21

What is 7(2g - 3)

300

Put in factored form

18a + 12

What is 6(3a + 2)

400

Write in 2 different factored forms

20g - 16

What is 4(5g - 4) and 2(10g - 8)

500

List ALL the factors that can be used to factor out the following expression

24m - 18

What is 2, 3, and 6

Combining Like Terms

100

Like Terms OR NOT Like Terms 3w + 9w + w

Like Terms

200

Like Terms OR Not Like Terms 3a²b + 2a²b + 7ab²

NOT Like Terms

300

-7d - 40 + 7d

What is -40

400

5r + 3q - 8q - r

What is 4r -5q

500

6p - 32 + 14p + 2 - 4p

What is 16p - 30

Order of Operations

100

Evaluate

25 - (10 x 2) ÷ 5

What is 21

200

Evaluate

3² + 12 x 2 - 4

What is 29

300

Evaluate when w = 3

12 ÷ 2 x w - 8

What is 10

400

Evaluate when y = 2

13 + 8 ÷ y³ x 4 

What is 17

500

Evaluate when m = 4 and g = 6

mg - (3 + 4) - 2 x 7

What is 3