1.3-1.5 Quest Review

Properties

100

Identify the property shown below:

8 + 15 = 15 + 8

Commutative Property of Addition

200

Identify the property shown below:

(3 x 4) x 9 = 3 x (4 x 9)

Associative Property of Multiplication

300

Identify the property shown below: 

6 + 0 = 6

Identity Property of Addition

400

Identify the property shown below:

5(2x + 7) = 10x + 35

Distributive Property

500

Identify the property shown below: 

-12 + 12 = 0

Additive Inverse

Order of Operations

100

Evaluate.

3(15 / 3 - 4)

3

200

Evaluate.

6 + 5(9 - 3 x 2)

21

300

Evaluate.

10 + (1/2)(8)

14

400

Evaluate.

7 + 4[10 - (18 / 3)]

23

500

Evaluate.

80 / 4² x (5 - 3) + 2 - [12 / (6 - 4)]

6

Distributive Property

100

Distribute.

6(9 + 3)

72

200

Distribute.

(8 - 2)7

42

300

Simplify.

4(w + 5)

4w + 20

400

Simplify.

6(a - 2b +5b)

6a + 18b

500

A group of 5 friends goes bowling. The bowling alley charges each person $6 to bowl and $4 to rent shoes.

Write an expression and solve it to find the group's total cost.

5(6 + 4)

$50

Simplify Expressions

100

Simplify.

9x - 4x

5x

200

Simplify. 

6y + 2y²

Already simplified

300

Simplify.

7c - 5 - 2c

5c - 5

400

Simplify. 

8p + 4q - 6q + p

9p + -2q

500

Simplify.

2r² + 3r³ + r + r³ + 4r²

4r³ + 6r² + r

Absolute Value

100

Find the value of 3² + |5x - 4| when x = -2

23

200

Evaluate when p = -6 and q = 8

|p + q|

2

300

Evaluate when p = -6 and q = 8

|-p + q|

14

400

The average test score in a class is 82%. Half of the class scored within 6 points of the average. One student received a score of x%. Write two expressions to find how far the student's score is from the average.

|82 - x| and |x - 82|

500

Use the expressions in the table below. Which expression has the greatest value when x = 3?

A) 3 + |x² – 6| + 8

B) 2x + 5|3 – 10|

C) 40x

D) -60x + 5

C - 40x