KYOTE College Placement 4

Question 1

Simplify: (2x³)/(6x) for x ≠ 0

Accepted Answer

x²/3

Answer

Divide coefficients: 2/6 = 1/3, and subtract exponents: x³/x = x²; result is x²/3.

Question 2

A store marks up a $40 item by 25%. What is the selling price?

Accepted Answer

$50

Answer

Markup = 25% × $40 = $10; selling price = $40 + $10 = $50.

Question 3

What is the y-intercept of the line 3x − 2y = 12?

Accepted Answer

(0, −6)

Answer

Set x = 0: −2y = 12 → y = −6, so the y-intercept is (0, −6).

Question 4

Which of the following is equivalent to √48?

Accepted Answer

4√3

Answer

√48 = √(16 × 3) = √16 · √3 = 4√3.

Question 5

If the area of a rectangle is 54 cm² and its width is 6 cm, what is its length?

Accepted Answer

9 cm

Answer

Area = length × width → 54 = length × 6 → length = 9 cm.

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