KYOTE College Placement 2

Question 1

Simplify: (3x²y)(4xy³)

Accepted Answer

12x³y⁴

Answer

Multiply coefficients (3×4=12) and add exponents for like bases: x²·x¹=x³ and y¹·y³=y⁴.

Question 2

Which of the following is the equation of a line with slope -2 passing through (1, 3)?

Accepted Answer

y = -2x + 5

Answer

Using point-slope form: y - 3 = -2(x - 1) → y = -2x + 2 + 3 = -2x + 5.

Question 3

What is the value of |−7| + |3|?

Accepted Answer

10

Answer

Absolute value is always non-negative: |−7| = 7 and |3| = 3, so 7 + 3 = 10.

Question 4

Factor completely: x² − 9

Accepted Answer

(x − 3)(x + 3)

Answer

x² − 9 is a difference of squares: a² − b² = (a − b)(a + b), where a = x and b = 3.

Question 5

A car travels 180 miles in 3 hours. At the same rate, how far will it travel in 5 hours?

Accepted Answer

300 miles

Answer

The rate is 180 ÷ 3 = 60 mph; at 60 mph for 5 hours, distance = 60 × 5 = 300 miles.

(KYOTE) Kentucky Online Testing Practice Test