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Quizzes > Mathematics > Algebra

Ultimate 9th Grade Math Quiz - Test Your Skills

Ready to tackle math problems for 9th graders? Let's begin!

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 quiz helps you practice algebra, geometry, and number skills so you can spot gaps to review before a test. Work at your pace and get instant feedback on each answer. Want more options? Try the practice set or jump into a quick test .

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
undefined
What is the midpoint of the segment with endpoints (−2, 4) and (6, 8)?
(4, 6)
(2, 12)
(2, 6)
(−4, 12)
undefined
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
undefined
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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