Algebra 1 | EOC Practice Test

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What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression x + 5, x is a variable.

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Define an equation.

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables. For example, 2x + 3 = 7 is an equation.

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What is the purpose of solving an equation?

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The purpose of solving an equation is to find the value(s) of the variable(s) that make the equation true.

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What does it mean to simplify an expression?

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To simplify an expression means to combine like terms and perform operations to reduce it to its simplest form.

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What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

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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 each term in a binomial.

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How do you solve for x in the equation 3x + 4 = 10?

Back

To solve for x, subtract 4 from both sides to get 3x = 6, then divide both sides by 3 to find x = 2.

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What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x) = y.

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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).

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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, represented as (0, b) in the equation y = mx + b.