PSAT 8/9 Math — Semester A
Free Practice · 10 Questions · 20 min
20:00Exit
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Question 1 of 10
AlgebraEasy

Solve for x:

5x + 1 = 51

A9
B15
C10
D11
Explanation
Subtract 1 from both sides: 5x = 50. Then divide both sides by 5: x = 10.
Question 2 of 10
AlgebraEasy

Solve for x:

6x + 12 = 42

A1
B9
C5
D4
Explanation
Subtract 12 from both sides: 6x = 30. Then divide both sides by 6: x = 5.
Question 3 of 10
AlgebraEasy

Solve for x:

8x + 15 = 39

A2
B3
C4
D0
Explanation
Subtract 15 from both sides: 8x = 24. Then divide both sides by 8: x = 3.
Question 4 of 10
Advanced MathMedium

If f(x) = 4x² − 4x + 8, what is f(2)?

A8
B16
C12
D20
Explanation
f(2) = 4(2)² + (-4)(2) + 8 = 16 − 8 + 8 = 16.
Question 5 of 10
Problem-Solving & DataMedium

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

A10%
B15%
C85%
D20%
Explanation
Percent change = (new − old) / old × 100% = (-18) / 120 × 100% = 15%.
Question 6 of 10
Advanced MathMedium

If f(x) = 2x² − 3x + 8, what is f(4)?

A4
B26
C28
D30
Explanation
f(4) = 2(4)² + (-3)(4) + 8 = 32 − 12 + 8 = 28.
Question 7 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
B12
C11
D9
Explanation
By the Pythagorean theorem: b² = c² − a² = 13² − 5² = 169 − 25 = 144. So b = √144 = 12.
Question 8 of 10
Advanced MathMedium

If f(x) = 6x² − 2x + 3, what is f(3)?

A45
B51
C57
D15
Explanation
f(3) = 6(3)² + (-2)(3) + 3 = 54 − 6 + 3 = 51.
Question 9 of 10
Problem-Solving & DataMedium

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

A60%
B45%
C40%
D35%
Explanation
Percent change = (new − old) / old × 100% = (-60) / 150 × 100% = 40%.
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
A46
B48
C44
D47
Explanation
By the Pythagorean theorem: b² = c² − a² = 50² − 14² = 2500 − 196 = 2304. So b = √2304 = 48.

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