Algebra 1 SOL Review 6

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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.

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What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true. For example, in the equation x + 3 = 7, solving for x gives x = 4.

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What is a variable in algebra?

Back

A variable is a symbol, usually a letter, that represents an unknown value in an expression or equation. For example, in the expression 2x + 3, x is the variable.

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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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What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in the term 4x, 4 is the coefficient.

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What is a constant in algebra?

Back

A constant is a fixed value that does not change. For example, in the expression 2x + 5, the number 5 is a constant.

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What does it mean to combine like terms?

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Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power. For example, 3x + 2x = 5x.

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What is a linear equation?

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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?

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The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x). A positive slope means the line rises, while a negative slope means it falls.

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What is the y-intercept?

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The y-intercept is the point where a line crosses the y-axis. In the equation y = mx + b, b represents the y-intercept.