Topic 4 Review

Vocabulary

100

A term that contains only a number is called what.

Constant

200

The number part of a term that contains a variable is called what

coefficient

300

A letter that represents an unknown value is called what.

Variable

400

What does it mean to factor and give an example

Answers will vary

500

Name 4 Properties we have used this unit

Multiple Answers...

Commutative

Distributive

Associative

Combine like terms

Additive Inverse

Lessons 1 and 2

100

Simplify:  Haddie makes and sells knit scarves.  Next week she will pay a $25 fee for the use of a booth at a craft fair.  She will charge $12 for each scarf she sells at the fair.  Write an expression to demonstrate this situation.

12x-25

200

Simplify: (5/8)m + 9 - (3/8)m -15

(1/4)m - 6

300

Evaluate: 0.5f - 2.3g when f=12 g=2

1.4

400

Write an equivalent expression -3(7 + 5g)

-21 - 15g

500

The cost to buy p pounds of potatoes at $0.32 per pound and n pounds of onions at $0.48 per pound can be determined by using the expression 0.32p + 0.48n.  How much would it cost to buy 4.5 pounds of potatoes and 2.5 pounds of onions?

$2.64

Lessons 3 and 4

100

Simplify: -6 + (-2d) + (-4d) + 3d

-3d - 6

200

Simplify: -8w + (-4z) + 2 + 6w + 9z - 7

2w + 5z - 5

300

Expand the expression: 3.5(-3n+4)

-10.5n + 14

400

Simplify: -3/5 ( -8 + (5/9)x - 3)

(33/5) - (1/3)x

500

Expand the expression: -2.5(-3 + 4n + 8)

-12.5 - 10n

Lessons 5 and 6

100

63a - 42b 

State the GCF

Factor the expression

GCF: 21

21(3a-2b)

200

81y + 54

What is the GCF:

Factor the expression:

GCF: 27

27 ( 3y + 2)

300

(3/8 - 1/6m + 5t) + (7/10m + 9t + 1/4)

8/5m + 14t + 5/8

400

Show 2 ways to factor: 32t - 48

Multiple Answers:

2(16t - 24)

8(4t - 6)

16(2t - 3)

500

(5.2c - 7.35) + (-3.9c + 2.65)

1.3c - 4.7

Lessons 7 and 8

100

14m - (5 + 8m)

6m - 5

200

(6x - 2y - 5) - (-5 + 9y - 8x)

14x - 11y

300

Hal earns n dollars per hour.  Next month he will receive a 2% raise in pay per hour.  The expression n + 0.2n is one way to represent Hal's pay per hour after the raise.  Write an equivalent simplified expression.

1.02n

400

The area of a garden plot can be represented by the expression 84z - 54.  The garden will be divided into six sections for planting six different vegetables.  The sections will be equal in area.  Write an expression that represents the area of each section.

14z - 9 or 6(14z - 9)

500

Last week Jean ran 2 fewer than 4m miles.  This week she ran 0.5 miles more than last week.  Write and simplify an expression for the total number of miles Jean ran in 2 weeks.

Write the original expression

Simplify

(4m -2) + (4m - 2 + 0.5)

8m - 3.5