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Quizzes > High School Quizzes > Electives

Ace Your MathQuizz Practice Test

Sharpen your math skills with engaging practice

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Colorful paper art promoting Math Magic Challenge, a trivia quiz for middle and high school students.

Easy
What is the value of x in the equation 2x = 10?
2
0
5
10
Dividing both sides of the equation by 2 gives x = 5, which is the unique solution. This step reinforces simple division in solving equations.
Simplify the expression: 3(x + 4).
3x + 12
3x + 4x
3x + 4
x + 7
Distributing 3 across the parentheses, multiply 3 by x and 4 to obtain 3x + 12. This illustrates the distributive property of multiplication over addition.
What is the product of -3 and 4?
-12
7
-7
12
Multiplying a negative number by a positive number gives a negative result. Here, -3 multiplied by 4 equals -12.
What is the result of 7 - 3?
3
10
5
4
Subtracting 3 from 7 results in 4. This basic arithmetic exercise helps build foundational math skills.
Solve the equation: 5 + x = 9.
x = 4
x = 5
x = 9
x = 14
Subtracting 5 from both sides of the equation isolates x, giving the solution x = 4. This demonstrates a simple method for solving a linear equation.
Medium
Solve for x: 3x - 4 = 2x + 5.
x = 1
x = -9
x = 4
x = 9
By subtracting 2x from both sides, the equation simplifies to x - 4 = 5, and adding 4 gives x = 9. This reinforces the technique of isolating variables in linear equations.
Factor the quadratic expression: x² + 5x + 6.
(x + 2)(x + 3)
(x + 2)(x + 4)
(x + 3)(x + 4)
(x + 1)(x + 6)
The expression factors into (x + 2)(x + 3) since 2 and 3 add up to 5 and multiply to 6. Recognizing these numbers is essential in factoring quadratics.
Solve the equation: (x - 2)(x + 3) = 0.
x = 2
x = -3
x = 2 or x = -3
x = -2 or x = 3
Since a product is zero if any factor is zero, set x - 2 = 0 or x + 3 = 0 to get x = 2 and x = -3. This applies the zero-product property to solve quadratic equations.
Simplify the expression: 2x + 3x - 4 + 6.
6x - 2
5x - 2
5x + 2
6x + 2
Combining like terms, the x terms sum to 5x and the constant terms sum to 2, resulting in 5x + 2. This problem practices basic algebraic simplification.
Solve the equation: ½x + 1/3 = 5/6.
x = 3
x = 1
x = 2
x = 5/6
Multiplying the entire equation by 6 eliminates the fractions, resulting in 3x + 2 = 5. Solving for x yields x = 1, demonstrating fraction clearance technique.
If three times a number decreased by 2 equals 16, what is the number?
x = 6
x = 5
x = 7
x = 8
Translating the statement into the equation 3x - 2 = 16 and solving gives x = 6. This word problem reinforces the conversion of language into algebra.
Evaluate the expression: x² - 3x + 4 when x = -2.
6
10
8
14
Substituting x = -2 yields 4 + 6 + 4, which sums to 14. This calculation emphasizes the importance of careful substitution and arithmetic.
Simplify the expression: 2(x + 3) - 4(x - 2).
2x + 14
2x - 14
-2x + 14
-2x - 14
Distribute the constants and then combine like terms: 2x + 6 - 4x + 8 simplifies to -2x + 14. This question focuses on the distributive property and correct sign handling.
Solve the inequality: 2x - 5 > 3.
x > 4
x < 4
x > 8
x ≥ 4
Adding 5 to both sides gives 2x > 8, and dividing by 2 yields x > 4. This shows the proper method for solving linear inequalities.
Evaluate the expression: 3(x - 2)² when x = 4.
12
8
6
16
Substitute x = 4 to get 3(2)², which is 3(4) = 12. This reinforces the order of operations: substitution, exponentiation, then multiplication.
Hard
Solve the quadratic equation: 2x² - 3x - 2 = 0.
x = -2 or x = 1/2
x = 2 or x = 1/2
x = -2 or x = -1/2
x = 2 or x = -1/2
Factoring the equation gives (2x + 1)(x - 2) = 0. Setting each factor to zero yields the solutions x = 2 and x = -1/2.
Solve the equation: 3/(x - 1) = 6.
x = 3
x = 3/2
x = 1/2
x = 2
Multiply both sides by (x - 1) to remove the fraction, resulting in 3 = 6(x - 1). Solving the simplified equation leads to x = 3/2.
Find the number such that twice the number minus 5 equals four times the number plus 3.
x = -1
x = 1
x = 4
x = -4
Setting up the equation 2x - 5 = 4x + 3 and solving by isolating x gives x = -4. This problem demonstrates translating a word statement into an algebraic equation and solving it.
Find two consecutive integers whose squares sum to 85.
-7 and -6
5 and 6
7 and 8
6 and 7
Let the integers be x and x + 1. Setting up the equation x² + (x + 1)² = 85 leads to a quadratic that factors to give x = 6 (or a negative solution which is typically disregarded), so the integers are 6 and 7. This problem integrates quadratic solving with word problem interpretation.
Solve the system of equations: x + y = 10 and x - y = 2.
x = 7, y = 3
x = 4, y = 6
x = 5, y = 5
x = 6, y = 4
Adding the two equations gives 2x = 12, so x = 6; then substituting back into x + y = 10 yields y = 4. This method of elimination effectively solves the system of equations.
0
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Study Outcomes

  1. Understand fundamental algebraic expressions and operations.
  2. Apply algebraic techniques to solve equations and simplify expressions.
  3. Analyze problem statements to identify appropriate solution strategies.
  4. Evaluate and select efficient methods for solving word problems.
  5. Synthesize learned concepts to tackle complex, multi-step challenges.

Mathquizz Practice Test Cheat Sheet

  1. Master the Order of Operations (PEMDAS) - Break down tricky equations by tackling Parentheses first, then Exponents, followed by Multiplication/Division (left to right), and finally Addition/Subtraction (left to right). This magical rulebook stops silly mistakes and keeps your math on track. Practice PEMDAS to feel like a calculation wizard every time! Algebra Concepts
  2. Understand Linear Equations - Linear equations form straight lines on a graph and are usually written as y = mx + b, where m is the slope and b is the y-intercept. Grasping this helps you predict how changes in x affect y and draw lines that tell stories. With this tool, you can turn puzzles into pictures! 8th Grade Math - Scholastic
  3. Grasp the Concept of Functions - A function links each input to exactly one output, often shown as f(x). Thinking of functions as "machines" that munch numbers and spit out results makes understanding relationships a breeze. Once you see variables as buddies rather than foes, function problems become a fun challenge! 8th Grade Math - GreatSchools
  4. Learn about Rational and Irrational Numbers - Rational numbers can be written as neat fractions, while irrational numbers (like π) have decimals that never repeat or end. Spotting the difference helps you handle everything from fraction puzzles to circle mysteries. Classifying numbers correctly makes you a true number ninja! 8th Grade Math - GreatSchools
  5. Solve Systems of Linear Equations - Systems ask you to find the point(s) where two (or more) lines meet, meaning they satisfy all equations at once. You can solve them by graphing, substitution, or elimination - pick your favorite technique! Discovering intersection points feels like unlocking the secret coordinates of a treasure map. Algebra Help - Internet4Classrooms
  6. Apply the Pythagorean Theorem - In right triangles, a² + b² = c² tells you that the square of the hypotenuse equals the sum of the squares of the other two sides. This trusty formula solves countless geometry puzzles, from architecture to art projects. Memorize it, and you'll always find the missing side! 8th Grade Math - Scholastic
  7. Understand Slope and Intercepts - Slope measures how steep a line climbs or drops, while intercepts show where it crosses the x- and y-axes. Knowing these lets you sketch lines without a graphing calculator. Plus, interpreting slopes turns word problems into clear, visual stories! 8th Grade Math Vocabulary - TXST
  8. Work with Exponents and Radicals - Exponents shorthand repeated multiplication (like 3³ = 3×3×3), and radicals (√) reveal roots of numbers (√49 = 7). Mastering these lets you simplify expressions faster than your calculator. It's like learning the secret handshake of advanced math! 8th Grade Math - GreatSchools
  9. Explore Volume Calculations - Calculating the volume of cylinders, cones, and spheres helps you tackle real-world space problems, from packing boxes to baking dome cakes. Using formulas (V = πr²h, etc.) turns abstract shapes into measurable goodies. Once you know volume, you'll never underestimate container size again! 8th Grade Math - Scholastic
  10. Practice Graphing Linear Inequalities - Instead of a single line, you shade regions that show all solutions to an inequality (like y > 2x + 1). This visual approach makes it crystal clear which values work and which don't. Shading in the right spots is like coloring inside the lines - fun and informative! Algebra Help - Internet4Classrooms
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