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Quizzes > Mathematics

9th Grade Math Test: Practice Algebra and Geometry

Quick, free 9th grade math practice test. Instant feedback on every answer.

Editorial: Review CompletedCreated By: Meredith Moore CrosbyUpdated Aug 27, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration for 9th grade math skills quiz on a golden yellow background

This 9th grade math test helps you check algebra, geometry, and number skills, and shows what to review next. Work at your own pace and see instant feedback for each question. For extra practice, try the 9th grade math placement test, build basics with a pre algebra practice test, or focus on shapes in the geometry quiz.

Solve for x: 3x - 7 = 11
x = 6
x = 2
x = 18
x = -6
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Evaluate: 5^0 + 2^3
8
1
9
13
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The line y = -3x + 4 has a y-intercept of
-3
3
-4
4
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Which of the following is equivalent to (x^3)(x^2)?
x^6
x^9
x^5
x^1
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Factor completely: x^2 - 9
(x - 3)(x + 3)
x(x - 9)
(x - 3)^2
(x - 9)(x + 1)
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What is the solution to the inequality 4x + 3 > 19?
x > 4
x > 5
x < 4
x >= 4
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The graph of y = |x - 4| has its vertex at
(4, 0)
(0, 4)
(-4, 0)
(0, -4)
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If f(x) = 3x - 2, what is f(5)?
15
7
-7
13
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What is the slope of the line passing through (2, 5) and (6, 13)?
4
-2
1/2
2
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Solve the system: y = 2x + 1 and y = -x + 7
(3, 4)
(2, 5)
(1, 2)
(0, 7)
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Find the distance between points A(1, 1) and B(5, 4) in the coordinate plane.
3
4
√10
5
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Simplify: (2x^2 y)(-3x y^3)
-6x^3 y^4
-6x^2 y^3
6x^3 y^4
-5x^3 y^4
undefined
Which is the equation of a line parallel to y = 1/2 x - 3 that passes through (0, 2)?
y = -1/2 x + 2
y = 2x + 2
y = 1/2 x - 2
y = 1/2 x + 2
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What is the midpoint of the segment with endpoints (−2, 4) and (6, 8)?
(4, 6)
(2, 12)
(2, 6)
(−4, 12)
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A right triangle has legs of lengths 9 and 12. What is the hypotenuse?
21
8
15
√(9^2 + 12^2) = 13
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The equation x^2 + y^2 = 0 has exactly one real solution pair.
True
False
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Solve for x: 2x^2 - 5x - 3 = 0
x = -3 or x = 1/2
x = 5/2 or x = -3
x = 1 or x = -3
x = 3 or x = -1/2
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Given f(x) = x^2 - 4x + 7, what is the minimum value of f(x)?
7
3
0
-1
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Which is the solution set for the inequality |2x - 3| < 5?
-1 < x < 4
-4 < x < 1
x > -1
x < -1 or x > 4
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Which expression is the result of completing the square for x^2 - 6x + 5?
(x + 3)^2 + 4
(x - 3)^2 - 4
(x + 3)^2 - 4
(x - 3)^2 + 4
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0

Study Outcomes

  1. Master Algebraic Equations -

    Learn to solve linear equations and inequalities with confidence, reinforcing core 9th grade math concepts in algebra.

  2. Solve Geometric Problems -

    Apply geometry principles to calculate angles, areas, and perimeters, strengthening math for 9th graders' spatial reasoning skills.

  3. Apply Problem-Solving Strategies -

    Use systematic approaches to tackle a variety of math questions for 9th graders, boosting analytical thinking and efficiency.

  4. Interpret Quiz Feedback -

    Analyze instant results to identify errors, understand correct solutions, and track progress in your 9th grade math test performance.

  5. Strengthen Weak Math Areas -

    Pinpoint and focus on challenging topics, enabling targeted practice on math problems for 9th graders to improve mastery.

  6. Build Test-Taking Confidence -

    Develop self-assurance through immediate feedback and repeated practice, preparing effectively for upcoming exams.

Cheat Sheet

  1. Solve Linear Equations Efficiently -

    Focus on mastering the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. Practice isolating y and x by using inverse operations - if 2x + 3 = y, subtract 3 then divide by 2 to get y = 2x + 3. This foundational skill from Khan Academy helps in algebra and all math for 9th graders.

  2. Apply the Pythagorean Theorem -

    Recall a² + b² = c² to find unknown side lengths in right triangles, as detailed on educational sites like MathWorld (Wolfram). For example, if a = 3 and b = 4, then c = 5. Use the mnemonic "3-4-5 makes right" to quickly identify these common triples.

  3. Factor Quadratic Expressions -

    Learn to factor ax² + bx + c by finding two numbers that multiply to ac and sum to b, as recommended by University math departments. For instance, x² + 5x + 6 factors to (x + 2)(x + 3). The "product-sum" trick is a go-to tool in 9th grade math problems.

  4. Understand Angle Relationships -

    Memorize that complementary angles add to 90° and supplementary add to 180°, per geometry courses at reputable institutions. In triangle problems, remember "interior sum = 180°" to find missing angles. This principle appears often in math questions for 9th graders.

  5. Grasp Function Notation and Basics -

    Study f(x) notation to interpret functions: f(x) = 2x + 1 means you multiply x by 2 then add 1. Practice domain and range identification using examples like f(x) = √x, where x ≥ 0. This understanding of functions anchors algebra and problem-solving skills.

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