Praxis Algebra I Practice Test
Praxis Algebra I (5162) practice covers foundational algebra and quantitative reasoning through equations, functions, graphs, and applied problems. The available question bank samples solving linear and quadratic equations, interpreting exponential relationships, identifying undefined rational expressions, and using geometry or percentages in mathematical contexts.
Exam overview
About the Praxis Algebra I Exam
Work on translating a situation into an equation or expression, then selecting operations that preserve equality and checking whether a solution fits the original problem. Function questions call for evaluating rules such as exponential models and interpreting how inputs correspond to outputs. Coordinate geometry tasks include calculating slope from two points and writing a line equation from a slope and a point; parallel lines retain the same slope. Other sampled skills include factoring or solving a quadratic equation, applying the Pythagorean theorem, calculating a discounted price, and identifying values excluded from a rational expression’s domain. These tasks connect symbolic manipulation with graphs, numerical patterns, and real-world quantities, so practice should include both accurate computation and explaining what a result represents.
Sample Practice Questions
Review a selection from this exam's published US Practice Tests practice bank.
What are the solutions to x² − 9 = 0?
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Correct answer: DRewrite as x² = 9. Taking both square roots gives x = 3 or x = −3; both values satisfy the equation.
A jacket marked at $80 is discounted by 15%. What is its sale price before tax?
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Correct answer: CThe discount is 0.15 × 80 = $12. Subtracting the discount from the marked price gives 80 − 12 = $68.
A right triangle has legs of lengths 6 and 8. What is the length of its hypotenuse?
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Correct answer: BBy the Pythagorean theorem, the hypotenuse c satisfies c² = 6² + 8² = 36 + 64 = 100. Since a length is positive, c = 10.
Solve the equation 4x − 7 = 21.
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Correct answer: BAdd 7 to both sides to get 4x = 28, then divide by 4. Thus x = 7—correction: 28 ÷ 4 = 7, so the correct option is C.
A point on the graph of y = 2^x has x-coordinate 3. What is its y-coordinate?
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Correct answer: BSubstitute x = 3 into y = 2^x: y = 2³ = 8.
Which equation represents the line parallel to y = 4x − 1 that passes through (0, 5)?
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Correct answer: AParallel nonvertical lines have the same slope, 4. Passing through (0, 5) means the y-intercept is 5, giving y = 4x + 5.
A line passes through (2, 3) and (6, 11). What is its slope?
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Correct answer: BThe slope is the change in y divided by the change in x: (11 − 3)/(6 − 2) = 8/4 = 2.
How to use this practice test
Access the free question set and complete a session of up to 20 randomly selected items from the 50 published practice questions. After the session, use the results to identify missed skills—for example, equation solving, slope, function evaluation, or domain restrictions—and revisit the underlying method before trying another set.
Preparation tips
- For linear equations, distribute before combining like terms, isolate the variable with inverse operations, and substitute the result to verify it.
- For quadratic equations such as x² − 9 = 0, factor when possible and check every root in the original equation.
- Find slope from two points using change in y divided by change in x; use that slope and a supplied point to build a line equation.
- Evaluate exponential expressions by substituting the input carefully, and distinguish a repeated-growth factor from the number of time intervals.
- For rational expressions, set the denominator equal to zero to identify excluded inputs; for applied problems, state units and check that the answer fits the context.