Algebra 1 Semester 1 Exam Review

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What is an algebraic expression?

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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 is the distributive property?

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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 variable in algebra?

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

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What does it mean to solve an equation?

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

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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 has 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). It is often represented by the letter m.

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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. It is the value of y when x = 0 in the equation of the line.

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What is a function?

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

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What is the difference between an equation and an expression?

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An equation states that two expressions are equal, while an expression is a combination of numbers, variables, and operations without an equality sign.

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. Solutions are the values that satisfy all equations in the system.