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

Solve for x:

8x + 15 = 39

A3
B0
C2
D4
Explanation
Subtract 15 from both sides: 8x = 24. Then divide both sides by 8: x = 3.
Question 2 of 10
TEKS ALGEasy

Solve for x:

6x + 12 = 42

A9
B1
C5
D4
Explanation
Subtract 12 from both sides: 6x = 30. Then divide both sides by 6: x = 5.
Question 3 of 10
TEKS ALGEasy

Solve for x:

5x + 1 = 51

A15
B11
C10
D9
Explanation
Subtract 1 from both sides: 5x = 50. Then divide both sides by 5: x = 10.
Question 4 of 10
TEKS ADVMedium

If f(x) = 4x² − 4x + 8, what is f(2)?

A20
B12
C16
D8
Explanation
f(2) = 4(2)² + (-4)(2) + 8 = 16 − 8 + 8 = 16.
Question 5 of 10
TEKS ADVMedium

If f(x) = 2x² − 3x + 8, what is f(4)?

A28
B26
C30
D4
Explanation
f(4) = 2(4)² + (-3)(4) + 8 = 32 − 12 + 8 = 28.
Question 6 of 10
TEKS GEOMedium 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
C11
D12
Explanation
By the Pythagorean theorem: b² = c² − a² = 13² − 5² = 169 − 25 = 144. So b = √144 = 12.
Question 7 of 10
TEKS ADVMedium

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 8 of 10
TEKS GEOMedium 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
B47
C48
D46
Explanation
By the Pythagorean theorem: b² = c² − a² = 50² − 14² = 2500 − 196 = 2304. So b = √2304 = 48.
Question 9 of 10
TEKS PSDMedium

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

A60%
B40%
C45%
D35%
Explanation
Percent change = (new − old) / old × 100% = (-60) / 150 × 100% = 40%.
Question 10 of 10
TEKS PSDMedium

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%.

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