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

Solve for x:

4x + 17 = 37

A6
B7
C1
D5
Explanation
Subtract 17 from both sides: 4x = 20. Then divide both sides by 4: x = 5.
Question 2 of 10
TEKS ALGEasy

Solve for x:

3x + 2 = 38

A17
B12
C16
D9
Explanation
Subtract 2 from both sides: 3x = 36. Then divide both sides by 3: x = 12.
Question 3 of 10
TEKS ALGEasy

Solve for x:

6x + 3 = 27

A3
B6
C1
D4
Explanation
Subtract 3 from both sides: 6x = 24. Then divide both sides by 6: x = 4.
Question 4 of 10
TEKS ADVMedium

What are the solutions to the equation x² − 2x − 3 = 0?

Ax = 4 and x = 0
Bx = 3 and x = 1
Cx = 3 and x = -1
Dx = -3 and x = 1
Explanation
Factor: (x − 3)(x − -1) = 0. Setting each factor to zero gives x = 3 or x = -1.
Question 5 of 10
TEKS PSDMedium

A product's price decreased from $200 to $180. What is the percent decrease?

A15%
B5%
C90%
D10%
Explanation
Percent change = (new − old) / old × 100% = (-20) / 200 × 100% = 10%.
Question 6 of 10
TEKS ADVMedium

What are the solutions to the equation x² + 0x − 25 = 0?

Ax = 5 and x = -5
Bx = -5 and x = 5
Cx = 5 and x = -3
Dx = 6 and x = -4
Explanation
Factor: (x − 5)(x − -5) = 0. Setting each factor to zero gives x = 5 or x = -5.
Question 7 of 10
TEKS ADVMedium

What are the solutions to the equation x² + 8x + 15 = 0?

Ax = 3 and x = 5
Bx = -2 and x = -4
Cx = -3 and x = -3
Dx = -3 and x = -5
Explanation
Factor: (x − -3)(x − -5) = 0. Setting each factor to zero gives x = -3 or x = -5.
Question 8 of 10
TEKS PSDMedium

A product's price decreased from $150 to $120. What is the percent decrease?

A80%
B25%
C20%
D15%
Explanation
Percent change = (new − old) / old × 100% = (-30) / 150 × 100% = 20%.
Question 9 of 10
TEKS GEOHard Diagram

In the circle shown, the radius is 18 and an arc subtends a central angle of 120°. What is the arc length, in terms of π?

r = 18120°arc
A108π
B6π
C12π
D36π
Explanation
Arc length = (angle/360°) × circumference = (120/360) × 2π(18) = (120/360) × 36π = 12π.
Question 10 of 10
TEKS GEOHard Diagram

In the circle shown, the radius is 24 and an arc subtends a central angle of 45°. What is the arc length, in terms of π?

r = 2445°arc
A48π
B6π
C3π
D72π
Explanation
Arc length = (angle/360°) × circumference = (45/360) × 2π(24) = (45/360) × 48π = 6π.

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