Algebra 1, Unit 1: Variables and Expressions. Key terms, formulas, and worked-example cues a high school student meets for this unit, building on prior units. Front: the term, formula name, or short problem cue. Back: the definition, formula, or solution method.
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- What is a variable in algebra?
- A letter or symbol representing an unknown or changeable value
- What is an algebraic expression?
- A combination of numbers, variables, and operations, with no equals sign
- What is a term in an algebraic expression?
- A single number, variable, or product of numbers and variables
- What is a coefficient?
- The number multiplied by a variable in a term
- What is a constant?
- A term with a fixed value, no variable attached
- Simplify: 3x + 5x
- 8x
- Simplify: 7y - 2y
- 5y
- What are like terms?
- Terms with the same variable raised to the same power
- What property states a(b + c) = ab + ac?
- The distributive property
- Expand: 2(x + 3)
- 2x + 6
- What operation 'undoes' addition?
- Subtraction
- What operation 'undoes' multiplication?
- Division
- What is the order of operations, remembered by PEMDAS?
- Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
- Evaluate: 2 + 3 x 4
- 14 (multiplication before addition)
- What is an algebraic equation?
- A statement that two expressions are equal, using an equals sign