The Real Number System, Properties of Real Numbers, & Fraction Review

Absolute Value

100

|-4| + |-6|

10

200

5 - |-72|

-67

300

|6|+|n²| where n = -5

31

400

|x| - |y| where x=6 and y= -4

2

500

|x²-4| where x= 1

3

Distributive Property

100

Simplify 2(x+3)

2x+6

200

Simplify 

-(6+y)

-6-y

300

-9(2x-3)

-18x+27

400

15x - 2(3x + 7)

9x-14

500

2(x-4) + 6x +7y - 3(2+y)

8x+4y-14

Properties of Real Numbers

100

Name the property illustrated here: (8+3)+7=8+(3+7)

What is the associative property of addition?

200

Name the property shown here:(3∙2)∙6=3∙(2∙6)

What is the associative property of multiplication?

300

Name the property shown here: 2(x + 7) = 2x + 14

What is the distributive property of addition?

400

Name the two operations that you can use the commutative or associative property with..

What is addition and multiplication?

500

Name the property shown here: (5∙2)∙6=6∙(2∙5)

What is the commutative property of multiplication?

Algebraic Expression

100

Evaluate the expression: 3a when a=-6

-18

200

Write an algebraic expression for the following phrase: the product of a number t and 5

5t

300

Write an algebraic expression for the following phrase: 6 less than the product of 3 and t

3t-6

400

Evaluate the expression -12x+2 when x= 1/4

-1

500

2t + 2u² -u³ if t=2 and u=1

5

Order of Operations

100

What are the order of operations?

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

200

Simplify the following expression: -3(-2)+8

14

300

Simplify the following expression: 3(2-3)+2

-1

400

Simplify the following expression: 36÷(25-4²)

4

500

Simplify the following expression: 3+2²-6(4)+2²

-21