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

Solve for x:

8x + 15 = 39

A2
B3
C0
D4
Explanation
Subtract 15 from both sides: 8x = 24. Then divide both sides by 8: x = 3.
Question 2 of 10
AlgebraEasy

Solve for x:

6x + 12 = 42

A4
B1
C5
D9
Explanation
Subtract 12 from both sides: 6x = 30. Then divide both sides by 6: x = 5.
Question 3 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 4 of 10
Problem-Solving & DataMedium

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

A40%
B35%
C45%
D60%
Explanation
Percent change = (new − old) / old × 100% = (-60) / 150 × 100% = 40%.
Question 5 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
A10
B9
C12
D11
Explanation
By the Pythagorean theorem: b² = c² − a² = 13² − 5² = 169 − 25 = 144. So b = √144 = 12.
Question 6 of 10
Advanced MathMedium

If f(x) = 2x² − 3x + 8, what is f(4)?

A30
B26
C28
D4
Explanation
f(4) = 2(4)² + (-3)(4) + 8 = 32 − 12 + 8 = 28.
Question 7 of 10
Problem-Solving & DataMedium

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

A15%
B85%
C20%
D10%
Explanation
Percent change = (new − old) / old × 100% = (-18) / 120 × 100% = 15%.
Question 8 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
A46
B47
C48
D44
Explanation
By the Pythagorean theorem: b² = c² − a² = 50² − 14² = 2500 − 196 = 2304. So b = √2304 = 48.
Question 9 of 10
Advanced MathMedium

If f(x) = 6x² − 2x + 3, what is f(3)?

A57
B45
C15
D51
Explanation
f(3) = 6(3)² + (-2)(3) + 3 = 54 − 6 + 3 = 51.
Question 10 of 10
Advanced MathMedium

If f(x) = 4x² − 4x + 8, what is f(2)?

A8
B20
C12
D16
Explanation
f(2) = 4(2)² + (-4)(2) + 8 = 16 − 8 + 8 = 16.

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