B.L.A.; occasionally A.L.B. Bachelor of Liberal Arts Bachelor of Liberal Arts For Math 4

Question 1

Which of the following is NOT a property of a parallelogram?

Accepted Answer

All angles are right angles

Answer

All angles being right angles is a property of rectangles specifically, not all parallelograms.

Question 2

What is the slope of a line perpendicular to y = 3x - 4?

Accepted Answer

-1/3

Answer

The slope of y = 3x - 4 is 3; the perpendicular slope is the negative reciprocal, -1/3.

Question 3

Simplify: (2³ × 2⁴) ÷ 2⁵

Accepted Answer

2²

Answer

2³ × 2⁴ = 2⁷; then 2⁷ ÷ 2⁵ = 2² = 4.

Question 4

A store marks up an item 40% from its cost of $50. What is the selling price?

Accepted Answer

$70

Answer

Markup = 40% × $50 = $20; selling price = $50 + $20 = $70.

Question 5

What is the range of the function f(x) = x² + 1?

Accepted Answer

y ≥ 1

Answer

Since x² ≥ 0 for all real x, f(x) = x² + 1 ≥ 1, so the range is [1, ∞).

B.L.A.; occasionally A.L.B. Bachelor of Liberal Arts Practice Test