Unit 3: Algebra 1 Georgia Milestone Study Guide

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What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Front

Define a variable in algebra.

Back

A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression 2x + 3, 'x' is the variable.

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What is the difference between an equation and an expression?

Back

An equation is a mathematical statement that asserts the equality of two expressions, while an expression is a combination of numbers, variables, and operations without an equality sign.

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What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

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How do you combine like terms?

Back

To combine like terms, you add or subtract the coefficients of terms that have the same variable raised to the same power. For example, 3x + 5x = 8x.

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What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

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What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x). It is often represented by the letter 'm'.

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What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is the value of y when x = 0.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. For example, f(x) = 2x + 3 is a function.