MPT Core Knowledge 2 — Questions and Answers
Question 1: Simplify: (3x²y)(−2xy³)
- −6x³y⁴ (Correct answer)
- 6x³y⁴
- −6x²y⁴
- −6x³y³
Correct answer: −6x³y⁴
Multiply coefficients (3·−2=−6) and add exponents for each variable: x^(2+1)=x³, y^(1+3)=y⁴.
Question 2: What is the slope of a line perpendicular to y = 4x − 7?
- 4
- −4
- 1/4
- −1/4 (Correct answer)
Correct answer: −1/4
Perpendicular slopes are negative reciprocals; the reciprocal of 4 is 1/4, and negating gives −1/4.
Question 3: Evaluate: |−8| + |3 − 10|
- 1
- 15 (Correct answer)
- −1
- −15
Correct answer: 15
|−8|=8 and |3−10|=|−7|=7, so 8+7=15.
Question 4: A rectangle has length (2x+3) and width (x−1). What is its area?
- 2x²+x−3 (Correct answer)
- 2x²−x+3
- 2x²+x+3
- 2x²−5x−3
Correct answer: 2x²+x−3
FOIL: (2x)(x)+(2x)(−1)+(3)(x)+(3)(−1) = 2x²−2x+3x−3 = 2x²+x−3.
Question 5: Solve for x: 2(x − 4) = 3x + 1
- x = 9
- x = −9 (Correct answer)
- x = 7
- x = −7
Correct answer: x = −9
2x−8=3x+1 → −x=9 → x=−9.
Question 6: Which of the following is equivalent to 16^(3/4)?
- 8 (Correct answer)
- 12
- 4
- 64
Correct answer: 8
16^(1/4)=2 (the fourth root of 16), then 2³=8.
Question 7: If f(x) = x² − 3x, what is f(−2)?
- −2
- 10 (Correct answer)
- 2
- −10
Correct answer: 10
f(−2) = (−2)²−3(−2) = 4+6 = 10.
