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Quizzes > High School Quizzes > Mathematics

8th Grade Word Problem Practice Quiz

Sharpen pre-algebra and word problem skills

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Colorful paper art promoting 8th Grade Pre-Algebra Challenge trivia quiz

Easy
John has 5 times as many apples as Tom. If Tom has 3 apples, how many apples does John have?
20
15
18
8
Since Tom has 3 apples and John has 5 times as many, multiplying 3 by 5 gives 15. This is a straightforward multiplication problem.
If you buy 4 packs of stickers and each pack has 7 stickers, how many stickers do you have in total?
21
14
32
28
Multiply the number of packs (4) by the number of stickers per pack (7) to obtain 28 stickers. This is a simple application of multiplication.
Solve for x: x + 5 = 12. What is the value of x?
5
6
7
8
Subtracting 5 from both sides of the equation gives x = 7. This basic linear equation emphasizes simple algebraic manipulation.
A recipe requires 2 cups of flour to make 12 cookies. How many cups of flour are needed to make 24 cookies?
6
4
5
3
Doubling the number of cookies from 12 to 24 means you need twice the amount of flour, so 2 cups become 4 cups. This demonstrates proportional reasoning.
If a car travels 60 miles in 1 hour, how far will it travel in 3 hours at the same rate?
120
180
200
150
Multiplying the distance per hour (60 miles) by the number of hours (3) gives 180 miles traveled. This is a basic rate problem.
Medium
Solve the equation: 3x - 4 = 11. What is the value of x?
5
4
7
6
Adding 4 to both sides results in 3x = 15, and dividing both sides by 3 gives x = 5. This emphasizes the process of isolating the variable.
If the ratio of red to blue marbles is 3:5 and there are 15 red marbles, how many blue marbles are there?
30
20
25
22
Since 15 red marbles represent 3 parts, each part equals 5. Multiplying 5 by the blue ratio part (5) gives 25 blue marbles. This problem uses proportional reasoning.
A shirt is discounted by 20% off its original price of $50. What is the sale price?
$45
$30
$40
$35
Twenty percent of $50 is $10. Subtracting $10 from $50 results in a sale price of $40. This problem involves basic percentage calculations.
Solve for y: 2(y + 3) = 14. What is the value of y?
5
10
4
7
Divide both sides by 2 to obtain y + 3 = 7, then subtract 3 to find y = 4. This reinforces the proper order of operations in equation solving.
A car rental company charges a $50 flat fee plus $0.20 per mile. If you paid $70, how many miles did you drive?
150
75
50
100
Subtract the flat fee ($50) from the total paid ($70) to get $20, then divide by $0.20 per mile to determine that 100 miles were driven. This question combines subtraction and division.
If 8x = 64, what is the value of x?
6
7
9
8
Dividing both sides of the equation by 8 isolates x and results in x = 8. This is a basic equation solving technique.
Simplify the expression: 4(2x + 3).
8x + 12
4x + 3
8x + 3
8x + 7
Distributing the 4 multiplies both 2x and 3, resulting in 8x + 12. This reinforces the distributive property.
Solve for x: x/3 = 9. What is x?
9
36
27
18
Multiplying both sides of the equation by 3 isolates x, which gives x = 27. This exercise highlights operations with fractions.
A school band sold 120 tickets. If they were sold in packs of 3, how many packs were sold?
35
45
40
30
Dividing the total number of tickets (120) by the number of tickets per pack (3) gives 40 packs. This problem applies division in a real-world context.
If a = 5 and b = 3, what is the value of 2a + 3b?
17
16
15
19
Substitute a = 5 and b = 3 into the expression to get 2(5) + 3(3) = 10 + 9 = 19. This question practices basic substitution and arithmetic operations.
Hard
Solve the linear equation: 5(2x - 3) = 3(x + 7). What is x?
6
5
36/7
7
Expanding the equation gives 10x - 15 = 3x + 21. Subtracting 3x and adding 15 to both sides results in 7x = 36, hence x = 36/7. This problem requires multiple steps of algebraic manipulation.
A rectangle's length is twice its width. If the perimeter of the rectangle is 54 units, what is the width?
7
9
10
8
Let the width be w; then the length is 2w. The perimeter is 2(w + 2w) = 6w, and setting 6w = 54 gives w = 9. This problem applies the perimeter formula to form and solve an equation.
A movie theater sold 40 tickets for adults and children. Adult tickets cost $8 and children tickets cost $5, and the total revenue was $260. How many adult tickets were sold?
15
20
22
18
Let the number of adult tickets be x. The revenue equation is 8x + 5(40 - x) = 260. Simplifying leads to 3x + 200 = 260, so x = 20. The problem utilizes systems of operations to solve for x.
If 3 times a number decreased by 4 is equal to twice the number increased by 1, what is the number?
3
5
6
4
Setting up the equation 3x - 4 = 2x + 1 and solving by subtracting 2x from both sides gives x - 4 = 1, so x = 5. This question requires forming and solving a simple linear equation.
A mixture contains coffee and cream in a ratio of 4:1. If there are 20 ounces of the mixture, how many ounces of cream are present?
2
5
4
3
A ratio of 4:1 means the mixture is divided into 5 equal parts. Since there are 20 ounces in total, each part weighs 4 ounces; hence, the cream (1 part) weighs 4 ounces. This problem applies ratios to determine quantities.
0
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Study Outcomes

  1. Analyze word problems to extract essential information for setting up equations.
  2. Apply pre-algebra concepts to formulate and solve algebraic expressions.
  3. Interpret variables and constants within context-specific problems.
  4. Simplify mathematical expressions using fundamental algebraic operations.
  5. Evaluate the reasonableness of solutions in test- and exam-style scenarios.

8th Grade Word & Pre-Algebra Cheat Sheet

  1. Master the Order of Operations (PEMDAS) - Keep your calculations in check by following the PEMDAS rule: solve inside Parentheses first, handle Exponents next, then tackle Multiplication and Division (left to right), and finish with Addition and Subtraction (left to right). It's like following a recipe - skip a step and your final dish might not taste right! Practice a few problems each day to make this order second nature. PEMDAS Overview on LibreTexts
  2. Understand and Apply the Distributive Property - When you see an expression like a(b + c), distribute the multiplication over addition to get ab + ac. This nifty trick helps you break down and simplify complex expressions faster, almost like unlocking a hidden shortcut in a video game. Mastering distribution makes solving equations feel way less daunting. Pre‑Algebra Formulas Guide
  3. Solve Linear Equations Confidently - Equations like ax + b = c become a breeze once you practice isolating the variable step by step. Think of it as reverse-engineering a puzzle: move and balance pieces until you reveal the value of x. With consistent practice, you'll breeze through even multi-step equations. Step‑by‑Step Equation Solver
  4. Grasp the Concept of Ratios and Proportions - A proportion sets two ratios equal, for example a/b = c/d, letting you compare and scale quantities like a pro. Whether you're doubling a recipe or figuring out map distances, this tool has your back. Practice examples with real-life contexts to see how ratios pop up everywhere. Ratios & Proportions Explained
  5. Work with Exponents and Scientific Notation - Learn the rules for multiplying, dividing, and raising powers so you can handle expressions like 2³ × 2² quickly. Then condense huge or tiny numbers into neat scientific notation, such as 5 × 10³, to make calculations cleaner and more manageable. It's like using a superhero cape for your math! Exponents & Notation Hacks
  6. Apply the Pythagorean Theorem - In any right triangle, a² + b² = c² unlocks the mystery of missing side lengths. Whether you're designing a ramp or solving geometry puzzles, this theorem is your go‑to power-up. Try drawing different triangles to see it in action. Pythagorean Theorem Guide
  7. Calculate Area and Perimeter of Geometric Shapes - Memorize formulas for rectangles, triangles, circles, and more so you can quickly find area and perimeter. Think of each formula as a secret code that reveals space and boundaries in the real world. Practice on everyday objects - like your notebook or pizza - to solidify your skills. Geometry Formulas Cheat Sheet
  8. Understand Variables and Expressions - Variables are like mystery boxes representing unknown values, and expressions are the recipes that tell you how to mix them. By mastering how to manipulate these symbols, you can model real‑world situations - like budgeting your allowance - into neat algebraic expressions. Start simple and build up to multi-part expressions. Variables 101 on LibreTexts
  9. Solve Word Problems Using Algebraic Formulas - Translate everyday scenarios - like splitting a bill or calculating speed - into algebraic equations and solve them step by step. This technique turns confusing word walls into a structured problem‑solving plan. Practice by turning news headlines or sports stats into math puzzles! Word Problems Strategy
  10. Practice Factoring Numbers and Expressions - Breaking down numbers or polynomials into their factors helps you simplify expressions and solve equations more easily. Think of it as dismantling a complex LEGO structure into basic bricks so you can rebuild it faster. Regular factoring drills will sharpen your skills for tests and real‑life applications. Factoring Fundamentals
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