Algebra Fundamentals

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5 Questions

What is the first step to evaluate an expression?

Follow the order of operations

What property allows you to multiply a single value to multiple terms in an expression?

Distributive Property

What is the term for combining terms with the same variable and coefficient?

Combining Like Terms

What operation should you perform first when evaluating an expression with multiple operations?

Exponents

What type of equations can be solved in a single step?

One-Step Equations

Study Notes

Algebraic Concepts

  • Exponents: A shorthand notation for repeated multiplication of a number by itself, denoted by a superscript number (e.g., 2³ means 2 multiplied by itself 3 times)

Order of Operations

  • PEMDAS: A mnemonic used to remember the correct order of operations in mathematics: Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction

Expressions

  • Translating Expressions: Converting words into mathematical expressions, using variables and constants to represent unknown values and numeric values respectively

Evaluating Expressions

  • Evaluating Expressions: Substituting values into an expression to find the resulting value, using the correct order of operations

Equations

  • One Step Equations: Equations that can be solved in a single step, typically by adding, subtracting, multiplying, or dividing both sides by a value

Properties of Algebra

  • Distributive Property: A property that allows multiplication to be distributed across addition, i.e., a(b + c) = ab + ac

Simplifying Expressions

  • Combine Like Terms: Combining terms with the same variable(s) and coefficient(s), by adding or subtracting like terms

Signed Numbers

  • Operations with Signed Numbers: Performing arithmetic operations on numbers with positive or negative signs, following specific rules for adding, subtracting, multiplying, and dividing signed numbers

Test your understanding of basic algebra concepts, including exponents, order of operations, translating expressions, and more. Evaluate your skills in solving one-step equations and working with signed numbers.

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