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:

5x + 1 = 51

A10
B9
C15
D11
Explanation
Subtract 1 from both sides: 5x = 50. Then divide both sides by 5: x = 10.
Question 2 of 10
TEKS ALGEasy

Solve for x:

6x + 12 = 42

A1
B4
C9
D5
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:

8x + 15 = 39

A4
B3
C0
D2
Explanation
Subtract 15 from both sides: 8x = 24. Then divide both sides by 8: x = 3.
Question 4 of 10
TEKS ADVMedium

If f(x) = 4x² − 4x + 8, what is f(2)?

A16
B12
C8
D20
Explanation
f(2) = 4(2)² + (-4)(2) + 8 = 16 − 8 + 8 = 16.
Question 5 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
A12
B11
C10
D9
Explanation
By the Pythagorean theorem: b² = c² − a² = 13² − 5² = 169 − 25 = 144. So b = √144 = 12.
Question 6 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
A47
B48
C44
D46
Explanation
By the Pythagorean theorem: b² = c² − a² = 50² − 14² = 2500 − 196 = 2304. So b = √2304 = 48.
Question 7 of 10
TEKS ADVMedium

If f(x) = 6x² − 2x + 3, what is f(3)?

A15
B45
C57
D51
Explanation
f(3) = 6(3)² + (-2)(3) + 3 = 54 − 6 + 3 = 51.
Question 8 of 10
TEKS PSDMedium

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

A35%
B45%
C40%
D60%
Explanation
Percent change = (new − old) / old × 100% = (-60) / 150 × 100% = 40%.
Question 9 of 10
TEKS ADVMedium

If f(x) = 2x² − 3x + 8, what is f(4)?

A30
B28
C4
D26
Explanation
f(4) = 2(4)² + (-3)(4) + 8 = 32 − 12 + 8 = 28.
Question 10 of 10
TEKS PSDMedium

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

A85%
B10%
C20%
D15%
Explanation
Percent change = (new − old) / old × 100% = (-18) / 120 × 100% = 15%.

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