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Questions and Answers
What is the first step to evaluate an expression?
What is the first step to evaluate an expression?
- Follow the order of operations (correct)
- Distribute the numbers
- Combine like terms
- Solve the equation
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?
- Combining Like Terms
- Distributive Property (correct)
- Order of Operations
- One Step Equations
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?
- Distributive Property
- Combining Like Terms (correct)
- Simplifying Expressions
- Evaluating Equations
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.
