Achievement Test Standardized Achievement Mathematics 3

Question 1

Simplify: (3x²y)(4xy³)

Accepted Answer

12x³y⁴

Answer

Multiply coefficients: 3 × 4 = 12; add exponents: x²⁺¹ = x³, y¹⁺³ = y⁴ → 12x³y⁴.

Question 2

A triangle has angles measuring 35° and 78°. What is the measure of the third angle?

Accepted Answer

67°

Answer

180° − 35° − 78° = 67°.

Question 3

What is 15% of 240?

Accepted Answer

36

Answer

15% × 240 = 0.15 × 240 = 36.

Question 4

A car travels 180 miles in 3 hours. At the same rate, how far will it travel in 5 hours?

Accepted Answer

300 miles

Answer

Speed = 180 ÷ 3 = 60 mph; distance in 5 hours = 60 × 5 = 300 miles.

Question 5

Which expression is equivalent to 4(3x − 2) − 2(x + 5)?

Accepted Answer

10x − 18

Answer

12x − 8 − 2x − 10 = 10x − 18.

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