KYOTE College Readiness Math 2

Question 1

Simplify: (3x²y)(−2xy³)

Accepted Answer

−6x³y⁴

Answer

Multiply coefficients (3×−2=−6) and add exponents for like bases: x^(2+1)=x³, y^(1+3)=y⁴.

Question 2

A line passes through (2, 5) and (6, 13). What is its slope?

Accepted Answer

2

Answer

Slope = (13−5)/(6−2) = 8/4 = 2.

Question 3

Factor completely: x² − 9

Accepted Answer

(x−3)(x+3)

Answer

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

Question 4

Solve for x: 2(x − 4) = 3x + 1

Accepted Answer

−9

Answer

Distribute: 2x−8=3x+1, then −8−1=3x−2x gives x=−9.

Question 5

What is the value of |−15| + |−3|?

Accepted Answer

18

Answer

Absolute value gives the positive distance from zero: 15 + 3 = 18.

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