Mathematics

Pre Algebra Practice Test: Check Your Skills and Build Confidence

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This pre algebra practice test helps you check key skills, see instant feedback, and find where to study next. Work at your own pace through clear problems, then try the algebra quiz, move up to an intermediate algebra practice test, or review 8th grade algebra questions.

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1Evaluate 7 + 3 x 4 using order of operations.
2What is the value of 5^2?
3Simplify: 18 - (6 + 4).
4Find the absolute value of -12.
5Which property is shown by a(b + c) = ab + ac?
6Solve: x + 9 = 15.
7Which is equivalent to 0.2?
8Combine like terms: 3x + 5 - 2x + 7.
9The reciprocal of 3/7 is 7/3.
10Evaluate: 4(2a - 3) when a = 5.
11Solve the inequality: 2x - 5 > 9.
12If f(x) = 3x - 2, find f(4).
13Which is a solution to 4/x = 2?
14The sum of any two odd integers is even.
15A linear pattern increases by the same amount each step.
16Solve the proportion: 7/x = 21/9.
17Evaluate: -2^3.
18The additive inverse of a number is the number itself.
19Solve for t: d = rt, when d = 45 and r = 9.
20Simplify: (5/6) ÷ (10/3).
Learning Goals

Study Outcomes

  1. Solve Linear Equations -

    Apply methods to isolate variables and solve one-step and multi-step equations featured in pre algebra exam practice questions.

  2. Simplify Fractions and Mixed Numbers -

    Use strategies to reduce fractions, convert between improper fractions and mixed numbers, and handle fraction operations with confidence.

  3. Perform Integer Operations -

    Add, subtract, multiply, and divide positive and negative integers accurately to master integer concepts on your pre-algebra practice test.

  4. Evaluate Algebraic Expressions -

    Substitute values for variables and simplify expressions, preparing you for the variety of problems on the pre algebra pretest.

  5. Interpret Practice Test Feedback -

    Review instant feedback on each scored question to identify strengths and weaknesses and focus your study plan effectively.

Study Guide

Cheat Sheet

  1. Understanding Variables and Expressions -

    Variables are placeholders for unknown values, and mastering how to simplify expressions by combining like terms is essential for your pre algebra exam. For example, 3x + 5x simplifies to 8x, and remembering "like terms" only combine with like helps you breeze through a pre algebra practice test.

  2. Mastering Fractions and Rational Numbers -

    Fractions can be tricky, but finding a common denominator turns addition and subtraction into a breeze - 2/3 + 1/4 = 8/12 + 3/12 = 11/12. For dividing fractions, use the mnemonic "Keep, Change, Flip" to remember to keep the first fraction, change the division sign to multiplication, and flip the second fraction.

  3. Integer Operations and Sign Rules -

    Confidence with positive and negative numbers is key for any pre algebra pretest: think of a number line for addition/subtraction and apply the "same signs add, different signs subtract" rule. For instance, -3 - (-5) becomes -3 + 5 = 2, a strategy endorsed by top university math courses.

  4. Order of Operations with PEMDAS -

    The PEMDAS rule (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) ensures you tackle expressions correctly - applying it to 2 + 3 × (4 - 1) gives 11. A fun way to remember it is "Please Excuse My Dear Aunt Sally," a classic mnemonic that guarantees better scores on a pre-algebra prep test.

  5. Solving Simple Equations and Inequalities -

    One-step and two-step equations form the backbone of algebra, and mastering them boosts your performance on a pre algebra and algebra practice test. Isolate x by reversing operations, e.g., 2x + 3 = 11 leads to x = 4, and remember to flip the inequality sign if you multiply or divide by a negative.

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Updated Feb 18, 2026