ACCUPLACER Elementary Algebra

ACCUPLACER Elementary Algebra focuses on assessing and enhancing foundational algebra skills essential for success in higher-level mathematics.

Operations with Integers and Rational NumbersSimplifying Algebraic ExpressionsSolving Linear Equations
Solving and Graphing Linear InequalitiesSystems of Linear EquationsPolynomials and Factoring
Budgeting and Shopping MathTravel and Distance ProblemsRecipe Scaling and Proportions
Mastering Multiple Choice QuestionsTime Management During the Test
Operations with Inte...Simplifying Algebrai...Solving Linear Equat...Solving and Graphing...Systems of Linear Eq...Polynomials and Fact...Budgeting and Shoppi...Travel and Distance ...Recipe Scaling and P...Mastering Multiple C...Time Management Duri...
Basic Concepts

Operations with Integers and Rational Numbers

Understanding Integers and Rational Numbers

Integers include all whole numbers and their negatives (like -3, 0, 7). Rational numbers are numbers that can be written as fractions, including integers, proper fractions, and decimals that terminate or repeat.

Performing Operations

  • Addition and Subtraction: Combine or take away values, paying attention to signs.
  • Multiplication and Division: Multiply or divide numbers, remembering rules for positive and negative signs.
  • Order of Operations: Always follow PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

Why It Matters

Basic operations set the stage for all future algebra. They're everywhere—from handling change at a store to measuring ingredients.

Helpful Tips

  • Double-check your sign rules.
  • Simplify fractions when possible.

Examples

  • Calculate \( -5 + 8 = 3 \).

  • Multiply \( -2 \times 6 = -12 \).

In a Nutshell

Learn how to add, subtract, multiply, and divide both integers and rational numbers, and apply the correct order of operations.

Key Terms

Integer
A whole number, positive or negative, including zero.
Rational Number
Any number that can be written as a fraction.
Order of Operations
A set of rules to determine the sequence in which calculations are performed.
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Simplifying Algebraic Expressions