MPT Core Knowledge 2

Question 1

Simplify: (3x²y)(−2xy³)

Accepted Answer

−6x³y⁴

Answer

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?

Accepted Answer

−1/4

Answer

Perpendicular slopes are negative reciprocals; the reciprocal of 4 is 1/4, and negating gives −1/4.

Question 3

Evaluate: |−8| + |3 − 10|

Accepted Answer

15

Answer

|−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?

Accepted Answer

2x²+x−3

Answer

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

Accepted Answer

x = −9

Answer

2x−8=3x+1 → −x=9 → x=−9.

(MPT) UCF Math Placement Test Practice Test