Order of Operations with Rational Numbers, Exponents and Parentheses

What is the first step when simplifying the expression -6(3-2x)?

• Multiply 6 to all terms inside the parentheses.

• Multiply -6 to only 3.

• Multiply -6 to only 2x.

• Multiply -6 to all terms inside the parentheses.

How would you simplify the expression (4x)²?

• 8x

• 16x

• 16x²

• 8x²

What are Exponents?

• The small number that is raised to show how many times to multiply the base number by itself.

• A large number that is added to another number.

• A number that is divided by another number.

• A number that is subtracted from another number.

Answer explanation

Exponents are represented by a small number that indicates how many times to multiply the base number by itself. This definition matches the correct answer choice, distinguishing it from other mathematical operations.

What is the Order of Operations?

• The order in which operations in an expression are evaluated using PEMDAS.

• The order in which numbers are added.

• The order in which equations are solved.

• The order in which graphs are drawn.

Answer explanation

The correct choice explains that the Order of Operations refers to the sequence of evaluating expressions using PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), which is essential for accurate calculations.

4³ ÷ 2 - ( 7 - 5 )²

• 49

• 21

• 28

• 16

8 + 3 x (5 + 2) - 7 ∙ 2

• 3

• 15

• 44

8² +(7-4)²

• 74

• 72

• 70

• 73

4(8 + 2⋅5 − 6)

• -40

• 176

• 128

• 48

7² + -64 ÷ (-4)²

• -53

• -45

• 45

• 53

What part of the expression would we simplify first?

• 4 x (n + 9)

• (n + 9)

• 9 ÷ 2