PARCC Advanced Mathematics Practice Questions 2

Question 1

Simplify: (3x²y)(−4xy³)

Accepted Answer

−12x³y⁴

Answer

Multiply coefficients: 3 × (−4) = −12. Add exponents: x² · x¹ = x³, y¹ · y³ = y⁴. Result: −12x³y⁴.

Question 2

What is the slope of a line perpendicular to the line 2x − 5y = 10?

Accepted Answer

−5/2

Answer

The given line has slope 2/5. The perpendicular slope is the negative reciprocal: −5/2.

Question 3

Solve: |2x − 3| = 7

Accepted Answer

x = 5 or x = −2

Answer

Set up two equations: 2x − 3 = 7 (x = 5) and 2x − 3 = −7 (x = −2). Both solutions are valid.

Question 4

A car travels from City A to City B at 60 mph and returns at 40 mph. What is the car's average speed for the entire trip?

Accepted Answer

48 mph

Answer

Use the harmonic mean: 2(60)(40)/(60+40) = 4800/100 = 48 mph.

Question 5

Which expression is equivalent to (x + 3)² − (x − 3)²?

Accepted Answer

12x

Answer

(x+3)² = x²+6x+9 and (x−3)² = x²−6x+9. Subtracting: (x²+6x+9) − (x²−6x+9) = 12x.

PARCC Practice Test