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Quizzes > High School Quizzes > Mathematics

Pre Algebra Test Practice Quiz

Build confidence with 7th and 8th grade problems

Difficulty: Moderate
Grade: Grade 7
Study OutcomesCheat Sheet
Colorful paper art promoting a Pre-Algebra Power-Up quiz for middle school students.

What is the sum of 7 and 3?
10
9
11
8
Adding 7 and 3 gives 10 because basic addition combines the values. This simple calculation is foundational for more complex algebra problems.
In the expression 5x, which symbol represents the variable?
5
x
5x
None of the above
The letter x in the expression 5x represents the variable. Recognizing variables is crucial for manipulating algebraic expressions.
What is the result when subtracting 4 from 9?
5
4
3
6
Subtracting 4 from 9 results in 5 since 9 - 4 equals 5. This basic subtraction skill is an important part of arithmetic understanding.
What is the product of 6 and 7?
42
36
48
40
Multiplying 6 by 7 gives 42. This multiplication fact is a basic arithmetic skill that supports further study in algebra.
Which of these numbers is a prime number?
4
6
7
9
The number 7 is a prime number because it has only two factors: 1 and itself. Identifying prime numbers is an essential part of number theory in pre algebra.
Solve for x: 2x + 4 = 12.
3
4
6
8
Subtract 4 from both sides to get 2x = 8, then divide by 2 to find x = 4. This problem reinforces the process of isolating the variable in an equation.
Simplify the expression: 3x + 2x - 5.
5x - 5
5x + 5
6x - 5
5x
Combine like terms 3x and 2x to obtain 5x, then subtract 5 to get 5x - 5. This demonstrates the process of simplifying algebraic expressions by combining similar terms.
What is the value of the expression 4a - 2 when a = 3?
8
10
12
14
Substitute a = 3 into the expression to get 4(3) - 2, which equals 12 - 2 = 10. This problem practices substitution and evaluation of expressions.
Solve for y: (3y/4) = 9.
9
10
12
15
Multiply both sides of the equation by 4 to get 3y = 36, then divide by 3 to determine y = 12. This reinforces solving equations with fractions.
Which expression represents the distributive property applied to 2(3 + x)?
6 + 2x
3 + x
2x + 3
6x + 2
The distributive property multiplies each term inside the parentheses by 2, resulting in 2*3 + 2*x, which simplifies to 6 + 2x. This property is fundamental in algebra for expanding expressions.
Simplify: 8/4 + 5/4.
13/4
7/4
3
2
Since the denominators are the same, add the numerators: 8 + 5 = 13, giving 13/4. This problem illustrates how to add fractions with a common denominator.
Solve for x: x/3 = 5.
3
5
15
8
Multiply both sides by 3 to isolate x, resulting in x = 15. This equation practices solving basic equations involving fractions.
What is the result of subtracting like terms in the expression 7x - 3x?
4x
10x
7
3x
Subtracting 3x from 7x yields 4x by combining like terms. Mastery of like terms is essential for simplifying algebraic expressions.
Evaluate the expression: 2(5 + 3) - 4.
12
8
10
14
Start by calculating inside the parentheses: 5 + 3 = 8. Multiplying by 2 gives 16, and subtracting 4 results in 12. This problem reinforces order of operations.
If 8% of a number is 16, what is the number?
160
200
250
320
Convert 8% to 0.08 and set up the equation 0.08 × number = 16. Dividing 16 by 0.08 yields 200, demonstrating basic percentage problem solving.
Solve for x: 3(x - 2) = 2(x + 4).
14
12
10
8
Expanding both sides gives 3x - 6 = 2x + 8. Subtracting 2x from both sides results in x - 6 = 8, and adding 6 yields x = 14. This problem emphasizes the importance of balancing equations.
Solve for x: 4x - 5 = 3x + 7.
12
10
8
14
Subtract 3x from both sides to get x - 5 = 7, then add 5 to find x = 12. This problem further develops skills in isolating the variable.
Simplify the expression: 2(3x + 4) - 5(x - 2).
x + 18
x + 2
11x + 18
8x + 2
First, use the distributive property: 2(3x + 4) becomes 6x + 8 and 5(x - 2) becomes 5x - 10. Subtracting the second expansion (note the minus sign) gives 6x - 5x + 8 + 10 = x + 18.
If 5 times a number decreased by 3 equals 2 times the same number increased by 7, what is the number?
10/3
3
3.5
13/3
The equation is 5x - 3 = 2x + 7. Subtracting 2x from both sides gives 3x - 3 = 7, and adding 3 yields 3x = 10, so x = 10/3. This problem applies linear equation solving techniques with variables on both sides.
Solve the proportion: If 2/3 = x/9, what is the value of x?
4
6
7
9
Cross multiply to obtain 2 × 9 = 3 × x, which simplifies to 18 = 3x. Dividing both sides by 3 results in x = 6. This exercise reinforces solving proportions through cross-multiplication.
0
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Study Outcomes

  1. Analyze and simplify algebraic expressions.
  2. Solve one-step and two-step equations.
  3. Interpret and apply arithmetic operations in algebraic contexts.
  4. Demonstrate understanding of number properties and relationships.
  5. Develop confidence in tackling pre-algebra challenges for tests and exams.

Pre Algebra Exam & Test Review Cheat Sheet

  1. Master the Order of Operations (PEMDAS) - Think of PEMDAS as a superhero rulebook that keeps calculations in order! Handle Parentheses first, then Exponents, followed by Multiplication and Division from left to right, and finish with Addition and Subtraction from left to right. This sequence banishes confusion and guarantees you get the correct answer every time. PEMDAS on OpenStax
    2. PEMDAS on OpenStax
  2. Understand the Commutative and Associative Properties - These properties let you shuffle and regroup numbers like puzzle pieces without changing the outcome. With commutative, 3 + 5 becomes 5 + 3, and with associative, (2 + 3) + 4 turns into 2 + (3 + 4). Use them to simplify addition and multiplication on the fly and make tricky problems feel like a breeze. Properties on OpenStax
    3. Properties on OpenStax
  3. Learn the Distributive Property - Distribute like a pro by transforming a(b + c) into ab + ac, breaking complex expressions into bite‑sized chunks. This trick is your best friend when expanding or factoring, and it turns intimidating problems into simple steps. Once you've mastered distribution, algebra will feel like child's play. Distributive Property on OpenStax
    4. Distributive Property on OpenStax
  4. Practice operations with integers - Positive and negative numbers follow strict rules: opposite signs make a negative when adding, but like signs give a positive when multiplying or dividing. Get confident adding, subtracting, multiplying, and dividing both types of integers. Master the "sign game" and you'll never be tripped up by a stray minus again! Integer Operations on OpenStax
    5. Integer Operations on OpenStax
  5. Convert between fractions, decimals, and percentages - Numbers can wear different costumes - fractions, decimals, or percentages - but they're all the same character underneath. Flip 1/2 into 0.5 or 50%, and watch how it fits seamlessly into equations, graphs, and real‑world problems. Switching forms strengthens your toolkit for tests, budgets, and beyond! Fractions, Decimals & Percents on OpenStax
    6. Fractions, Decimals & Percents on OpenStax
  6. Solve one‑step and two‑step equations - Channel your inner detective: perform inverse operations to isolate the variable. For instance, to crack 2x + 3 = 7, subtract 3 then divide by 2 to reveal x = 2. Each solved equation is a mini‑victory that hones your skills for bigger challenges! Equations on OpenStax
    7. Equations on OpenStax
  7. Understand ratios and proportions - Ratios compare two quantities (like slices of pizza to people) and proportions keep ratios equal (scale a recipe up or down). Spotting equivalent ratios helps you solve everything from cooking conversions to map distances. Mastering these concepts turns everyday problems into simple math puzzles! Ratios & Proportions on OpenStax
    8. Ratios & Proportions on OpenStax
  8. Work with exponents and square roots - Exponents are a shortcut for repeated multiplication (3❴ means 3×3×3×3), and square roots reverse that process (√9 = 3). Playing with powers and roots helps you tackle everything from growth models to geometry. Once you see the patterns, these operations become second nature! Exponents & Roots on OpenStax
    9. Exponents & Roots on OpenStax
  9. Interpret and create graphs - Turn boring numbers into colorful stories with bar graphs, line graphs, and coordinate plots. Being able to read and draw graphs lets you spot trends, compare data sets, and communicate results clearly. Graphing skills are essential for science labs, presentations, and everyday data dives! Graphing on OpenStax
    10. Graphing on OpenStax
  10. Apply problem‑solving strategies - Treat each problem like an adventure: read carefully, highlight what's given, choose your tools (properties or equations), and solve step by step. Always circle back to check your answer and make sure it makes sense in context. With these strategies, no problem is too big to conquer! Problem Solving on OpenStax
    11. Problem Solving on OpenStax
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