Module 8 Review- Expressions

Module 8 Review- Expressions

Exponents Review 

• An exponent is a PRODUCT of identical factors that are written using a base and exponent

• The base is the number that is being multiplied 

• The exponent is the number that tells the number of times the base is being repeated in the multiplication sentence 

Order of Operations 

• We work in the order of PEMDAS

• *MULTIPLICATION and DIVISION are of equal value, so we work from LEFT to RIGHT

• *ADDITION and SUBTRACTION are of equal value, so we work from LEFT to RIGHT

Open Ended

Evaluate.

7² + 12 – (6 × 3)

Multiple Choice

Evaluate.

9 + 6² – 15 ÷ 3

• 45

• 40

• 35

• 30

Equivalent Expressions

• Are expressions that have the same value

• Equivalent - EQUAL

Multiple Choice

Which pair of expressions below are equivalent?

• 5(3x) and 8x

• 12x + 2x and 24x

• 2(3x − 5) and 6x − 10

• x + x + x and x3

Finding the values of expressions

• Plug in the value of the variable 

• Work in the order of PEMDAS 

Open Ended

1. What is the value of the expression below when r = 6 and s = 8?

3r² – 7s + 4

The Distributive Property

• Distributive Property- Multiplying the number immediately outside parentheses with those inside, then add the products together

Multiple Choice

1. What is the value of the expression below when x = 3 and y = 5?

2(x² + 3y)

• 24

• 42

• 48

• 68

Open Ended

A: 20² - 18²

B: 8(4²) + 2⁴

C: 15² - 34

Which expression or expressions have the same value as 12² ?

Factoring expressions

• 1. Find the Greatest Common Factor (GCF)

• 2. Place the GCF in front of a set of parentheses ()

• 3. Divide each term in the expression by the GCF and put the quotients in the parentheses

Multiple Choice

Which expression is equivalent to 12a + 18b?

• 4(3a + 6b)

• 3(4a + 3b)

• 6(2a + 3b)

• 18a + 12b