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

Simplifying Algebraic Expressions

What is an Algebraic Expression?

An algebraic expression is a combination of numbers, variables, and operations (like \( 3x + 2y - 5 \)).

How to Simplify

  • Combine Like Terms: Add or subtract terms with the same variable and exponent.
  • Use the Distributive Property: Multiply a number across terms inside parentheses, like \( a(b + c) = ab + ac \).
  • Remove Parentheses: Apply the distributive property and simplify.

Why Simplify?

Simplifying makes expressions easier to understand and solve, which is helpful in math, science, and even coding.

Real-Life Connection

Simplifying helps you organize and reduce complex information, much like tidying up your room!

Examples

  • Simplify \( 2x + 3x = 5x \).

  • Expand and simplify \( 2(y + 4) = 2y + 8 \).

In a Nutshell

Combine like terms and use properties to make algebraic expressions as simple as possible.

Key Terms

Like Terms
Terms that have identical variable parts.
Distributive Property
A property used to multiply a single term across a sum or difference inside parentheses.
Next
Solving Linear Equations