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Math · High School

Algebra 1, Unit 1: Variables and Expressions

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

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