Podcast
Questions and Answers
What is the first step to evaluate an expression?
What is the first step to evaluate an expression?
What property allows you to multiply a single value to multiple terms in an expression?
What property allows you to multiply a single value to multiple terms in an expression?
What is the term for combining terms with the same variable and coefficient?
What is the term for combining terms with the same variable and coefficient?
What operation should you perform first when evaluating an expression with multiple operations?
What operation should you perform first when evaluating an expression with multiple operations?
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What type of equations can be solved in a single step?
What type of equations can be solved in a single step?
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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
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Description
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.
