Praxis CKT Math Algebraic Thinking Quiz

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| Questions: 21 | Updated: Aug 16, 2026
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1. Which equation represents a linear relationship?

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About This Quiz
PRAXIS Ckt Math Algebraic Thinking Quiz - Quiz

This quiz assesses college-level algebraic thinking skills essential for the Praxis Core Knowledge Test. It covers equation solving, polynomial operations, rational expressions, exponential and logarithmic functions, and systems of equations. Strengthen your ability to manipulate algebraic expressions, model real-world situations, and apply foundational algebra concepts needed for teaching mathematics.

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2. True or False: For any real number x, x² ≥ 0.

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3. True or False: The expression 5x + 3y is a polynomial.

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4. True or False: x = -2 is a solution to x² + 3x + 2 = 0.

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5. True or False: The product of two negative numbers is positive.

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6. The vertex of y = x² - 4x + 3 occurs at x = ____

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7. If log₂(x) = 3, then x = ____

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8. Simplify: 2⁻³ = ____

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9. The slope of the line passing through (2, 3) and (4, 7) is ____

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10. If 3x - 4 = 14, then x = ____

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11. Expand: (x - 3)(x + 5)

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12. Solve for x: 3x + 7 = 22

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13. Solve: x² - 5x + 6 = 0

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14. Simplify: √(36x⁴)

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15. If f(x) = 2x - 5, what is f(4)?

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16. Solve the system: x + y = 5 and 2x - y = 4

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17. Simplify: (6x²y) / (2xy²)

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18. Which expression is equivalent to (x + 2)²?

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19. Solve: 2(x - 3) = 4x + 2

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20. Factor: x² + 7x + 12

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21. Simplify: (2x³ + 5x² - 3x) + (x³ - 2x² + 4x)

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Which equation represents a linear relationship?
True or False: For any real number x, x² ≥ 0.
True or False: The expression 5x + 3y is a polynomial.
True or False: x = -2 is a solution to x² + 3x + 2 = 0.
True or False: The product of two negative numbers is positive.
The vertex of y = x² - 4x + 3 occurs at x = ____
If log₂(x) = 3, then x = ____
Simplify: 2⁻³ = ____
The slope of the line passing through (2, 3) and (4, 7) is ____
If 3x - 4 = 14, then x = ____
Expand: (x - 3)(x + 5)
Solve for x: 3x + 7 = 22
Solve: x² - 5x + 6 = 0
Simplify: √(36x⁴)
If f(x) = 2x - 5, what is f(4)?
Solve the system: x + y = 5 and 2x - y = 4
Simplify: (6x²y) / (2xy²)
Which expression is equivalent to (x + 2)²?
Solve: 2(x - 3) = 4x + 2
Factor: x² + 7x + 12
Simplify: (2x³ + 5x² - 3x) + (x³ - 2x² + 4x)
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