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y = mx + b
where m is the slope and b is the y-intercept

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The steepness of a line. To calculate slope = change in Y / change in X

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Graph looks like a V-shape. Y values decrease then increase by the same amount.

y = |x|

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Graph looks like a U-shape. Y values decrease then increase by different amounts. You may also notice that the change in Y has a second difference.

y = x²

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Graph looks like a curve. Y values change by different amounts. You may also notice the Y values multiply by the same amount each time!

y = 2x

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Graph looks like a straight line. Y changes by the same amount each time.

y = x

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The turning point of a quadratic or absolute value function. Also the highest (maximum) or lowest (minimum) point.

The highest or lowest y-coordinate. Where the values change direction.

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Where the graph crosses the X-axis.

The y-coordinate is 0.

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Where the graph crosses the Y-axis.

The x-coordinate is 0.

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How we write functions.

The most popular is f(x)

We say this: "f of x" or "the function value of f at x"

f is the name of the function

x is the domain (x) that goes IN to the function

f(x) is the range (y) that comes OUT

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A function is a rule that assigns each input EXACTLY 1 output

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Draw vertical lines through the graph. If a vertical line touches the graph more than once, the graph is NOT a function.

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The input, or x-values

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The output, or y-values

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A relation shows the relationship between an input and output; often as an ordered pair (input, output). 

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An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. The "mouth" of the sign always OPENS to the greater(bigger) value.

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An equation is a mathematical sentence.
It includes numbers, or symbols representing numbers, and an equals sign.

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The value that makes an equation TRUE.

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To solve an equation means to find the unknown value (represented by a variable) in an equation. We use inverse operations to help us find the unknown value.

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Multiply the number outside the parentheses to every term inside the parentheses.

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The number in front of a variable.

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Terms with the same variable and exponent

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Math sentence with no equal sign

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Write the terms of an expression in order by the exponents going from highest to lowest

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Expression with more than 1 term

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Expression with 3 terms

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Expression with 2 terms

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Expression with 1 term

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Pieces of an expression separated by addition and subtraction

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The term with no variable

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The coefficient of the variable with the highest exponent

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The highest exponent