Big Ideas Chapter 3 Review

Algebraic Expressions

100

Evaluate the expression when x=20 and y =4

x÷5

4

200

Evaluate the expression when x=20 and y =4: 

y + x

24

300

Evaluate the expression when x=20 and y =4: 

8y - 6

26

400

In a video game, you score "p" game points and "b" triple bonus points. An expression for this score is p + 3b. What is your score when you earn 245 game points and 20 triple bonus points?

305 points

500

Identify the terms, coefficients, and constants of this expression: 

3x + 13 + p

Terms: 3x, 13, p

Coefficients: 3, 1

Constants: 13

Writing Expressions

100

11 fewer than a number b

b-11

200

The product of a number d and 32

32d

300

18 added to a number n

n + 18

400

A server at a restaurant works 5 hours on a weekday and 8 hours on a weekend day. Write an expression for the total hours the server works on x weekdays and y weekend days. 

5x+8y

500

Your basketball team scored 4 fewer than twice as many points as the other team. Write the expression for the number of points your team scored. Then, evaluate assuming that the other team scored 24 points.

2x-4; 44 points

Properties of + and x

100

Tell which property the statement illustrates. 

0 + x = x

Addition Property of Zero

Identity Property of Addition

200

Tell which property is illustrated by the statement. 

3+z = z+3

Commutative Property of Addition

300

Tell which property is illustrated by the statement. (2x5)c = 2(5xc)

Associative Property of Multiplication

400

Tell which property is illustrated by the statement. 

8(1) = 8

Multiplication Property of One

Identity Property of Multiplication

500

Tell which property is illustrated by the statement. 

5(x-2) = 5x - 10

Distributive Property

Distributive Property

100

Use the Distributive Property to simplify the expression. 

2(x+12)

2x + 24

200

Use the Distributive Property to simplify the expression. 

11(b-3)

11b - 33

300

Use the Distributive Property to simplify the expression. 

6(6+y)

36 + 6y

400

Use the Distributive Property to simplify the expression. 

4(6a + 7 - 2b)

24a +28 - 8b

500

A family of four goes to a salon for haircuts. The cost of each haircut is $13. Use the distributive property and mental math to find the product of 4x13 for the total cost.

4(10 + 3)

4x10 + 4x3

40 + 12

$52

Factoring

100

Factor using the GCF: 

15+35

5 (3+7)

200

Factor using the GCF: 

36x - 28

4 (9x-7)

300

Factor the expression using the GCF: 

27k- 6

3(9k-2)

400

Factor the expression using the GCF: 

5x + 60y

5(x+12y)

500

Factor the expression using the GCF:

16x + 56y

8(2x+7y)