KYOTE College Readiness Math 2 — Questions and Answers
Question 1: Simplify: (3x²y)(−2xy³)
- −6x³y⁴ (Correct answer)
- 6x³y⁴
- −6x²y³
- −5x³y⁴
Correct answer: −6x³y⁴
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?
- 2 (Correct answer)
- 3
- 4
- ½
Correct answer: 2
Slope = (13−5)/(6−2) = 8/4 = 2.
Question 3: Factor completely: x² − 9
- (x−3)(x+3) (Correct answer)
- (x−9)(x+1)
- (x−3)²
- (x+9)(x−1)
Correct answer: (x−3)(x+3)
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
- −9 (Correct answer)
- 9
- 7
- −7
Correct answer: −9
Distribute: 2x−8=3x+1, then −8−1=3x−2x gives x=−9.
Question 5: What is the value of |−15| + |−3|?
- 18 (Correct answer)
- −18
- 12
- −12
Correct answer: 18
Absolute value gives the positive distance from zero: 15 + 3 = 18.
Question 6: A rectangle has perimeter 38 cm and width 7 cm. What is its length?
- 12 cm (Correct answer)
- 24 cm
- 31 cm
- 17 cm
Correct answer: 12 cm
P = 2(l+w), so 38 = 2(l+7), giving l+7=19, l=12.
Question 7: Which expression is equivalent to 4⁻²?
- 1/16 (Correct answer)
- −16
- 1/8
- 16
Correct answer: 1/16
A negative exponent means the reciprocal: 4⁻² = 1/4² = 1/16.
