Algebra I Keystone Prep Module 1(2022-2023)

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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?

Back

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 isolate a variable?

Back

To isolate a variable means to manipulate an equation so that the variable is on one side of the equation and all other terms are on the other side.

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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 forms 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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Define slope in the context of a linear equation.

Back

Slope is a measure of the steepness of a line, calculated as the rise over run between two points on the line. It is represented by the letter m in the equation y = mx + b.

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What is the y-intercept?

Back

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

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as an equation, a table, or a graph.