6.7A Expressions: PEMDAS, Exponents, Prime Factorization

Evaluate the following expression.

(3 + 4²) + (4.5 – 2)

• 7.5

• 9.5

• 21.5

• 18.5

What is the value of the expression shown?

84 – 12 ⋅ 32 ÷ 6

• 432

• 20

• 46

• 370

Evaluate the following expression.

2(7 + 3) + 2³.

• A) 28

• B) 19

• C) 36

• D) 22

Which expression is equivalent to

6(4 + 7) - 4³?

• 24 + 42

• 66 - 12

• 31 - 12

• 66 - 64

Determine the missing value in the expression for the prime factorization of 90.

2 • 3² • ​ ​_ _ .

Options: A) 18, B) 9, C) 5, D) 10.

Answer: (a)   .

• 9

• 5
• 18
• 10

Fredrick wrote an expression that is equivalent to (30 + 6) ÷ 12.

Which of the following expressions could be the one he wrote?

• 5 + 2 + 4 – 3 • 2 + 12

• 5 + 6 + 2 • 3 – 3 • 2 + 12

• 5 + 6 + 2 • 3 ÷ 3 • 2

• (5 • 6 + 2 • 3) ÷ (3 • 2 • 2)

Which expression shows the prime factorization of 110?

• A 2 • 5 • 11

• B 100 + 10

• C 5 • 22

• D 10^2

Evaluate the following expression.

65 – 2 • 7 + 9 ÷ 3

• 150

• 54

• 82

• 20

Evaluate the following expression.

(4 + 5) ÷ 3 • 2

• 6

• 1.5

• 15

• 16

Which expression shows the prime factorization of 160?

• 2⁵ × 5

• 2⁴ × 10

• 2⁵ × 10

• 2 × 5 × 16