PSAT 8/9 Math — Semester A
Free Practice · 10 Questions · 20 min
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Question 1 of 10
AlgebraEasy

Solve for x:

6x + 12 = 42

A9
B4
C1
D5
Explanation
Subtract 12 from both sides: 6x = 30. Then divide both sides by 6: x = 5.
Question 2 of 10
AlgebraEasy

Solve for x:

5x + 1 = 51

A10
B15
C11
D9
Explanation
Subtract 1 from both sides: 5x = 50. Then divide both sides by 5: x = 10.
Question 3 of 10
AlgebraEasy

Solve for x:

8x + 15 = 39

A3
B2
C0
D4
Explanation
Subtract 15 from both sides: 8x = 24. Then divide both sides by 8: x = 3.
Question 4 of 10
Problem-Solving & DataMedium

A product's price decreased from $120 to $102. What is the percent decrease?

A20%
B15%
C10%
D85%
Explanation
Percent change = (new − old) / old × 100% = (-18) / 120 × 100% = 15%.
Question 5 of 10
Problem-Solving & DataMedium

A product's price decreased from $150 to $90. What is the percent decrease?

A60%
B40%
C35%
D45%
Explanation
Percent change = (new − old) / old × 100% = (-60) / 150 × 100% = 40%.
Question 6 of 10
Advanced MathMedium

If f(x) = 6x² − 2x + 3, what is f(3)?

A45
B15
C57
D51
Explanation
f(3) = 6(3)² + (-2)(3) + 3 = 54 − 6 + 3 = 51.
Question 7 of 10
Advanced MathMedium

If f(x) = 4x² − 4x + 8, what is f(2)?

A16
B12
C20
D8
Explanation
f(2) = 4(2)² + (-4)(2) + 8 = 16 − 8 + 8 = 16.
Question 8 of 10
Geometry & TrigMedium Diagram

In the right triangle shown, the hypotenuse has length 13 and one leg has length 5. What is the length of the other leg?

5?13
A12
B11
C9
D10
Explanation
By the Pythagorean theorem: b² = c² − a² = 13² − 5² = 169 − 25 = 144. So b = √144 = 12.
Question 9 of 10
Advanced MathMedium

If f(x) = 2x² − 3x + 8, what is f(4)?

A28
B26
C4
D30
Explanation
f(4) = 2(4)² + (-3)(4) + 8 = 32 − 12 + 8 = 28.
Question 10 of 10
Geometry & TrigMedium Diagram

In the right triangle shown, the hypotenuse has length 50 and one leg has length 14. What is the length of the other leg?

14?50
A44
B46
C48
D47
Explanation
By the Pythagorean theorem: b² = c² − a² = 50² − 14² = 2500 − 196 = 2304. So b = √2304 = 48.

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