Week 1 Quiz

Consider the eight numbers 7, −3, 0, 5⁄8, √16, √2, 0.45, and π. Which list names exactly the irrational numbers among them?

Select one.

• √2 and π
• √16, √2, and π
• 0.45 and π
• 5⁄8, 0.45, √2, and π

Evaluate 2 + 3 · 4² using the order of operations.

Select one.

• 80
• 146
• 50
• 196

What is the value of −2⁴, written with no parentheses?

Select one.

• 16
• −16
• −8
• 8

Select every expression whose value is 16.

Select every option that applies.

• (−2)⁴
• −2⁴
• (−4)²
• −4²
• 2⁴

Using the product rule, which expression equals 2³ · 2⁴?

Select one.

• 2¹²
• 4⁷
• 2¹
• 2⁷

Use the quotient rule and the powers of two to evaluate 2¹⁰ ⁄ 2⁷. Enter the value as a whole number.

Type a short answer.

Simplify 5x − 2(3x − 4).

Select one.

• −x − 8
• −x + 8
• −x − 4
• 11x − 8

Evaluate 3x² − 2x + 5 at x = −2. Enter the value as a whole number.

Type a short answer.

A shared bill is added as (14 + 9) + 11 and again as 14 + (9 + 11), and both give 34. Which property of real numbers guarantees the two totals match?

Select one.

• The commutative property
• The distributive property
• The associative property
• The identity property

True or false: because 2⁻² has a negative exponent, its value is a negative number.

True or false.

• True
• False