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Absolute Value

The distance between a number and 0 on a number line. It can be written as |5| = 5 and |-5| = 5.

Addition Property of Equality

Adding the same number to each side of an equation produces an equivalent equation.

Additive Inverse

The opposite of a number.

Example: 8 = -8

Example: 8 = -8

Integers

-3, -2, -1, 0, 1, 2, 3

Multiplying Integers with the Same Sign

The product of two integers with the same sign is always positive

Multiplying Integers with Different Signs

The product of two integers with different signs is always negative.

Dividing Integers with Same Signs

The quotient of two integers with the same sign is always positive.

Dividing Integers with Different Signs

The quotient of two integers with different same sign is always negative.

Coordinate Plane

Made by the intersection of a horizontal number line (x axis) and vertical number line (y axis).

Origin

Where the horizontal number line (x axis) and vertical number line (y axis) intersect. Known as the coordinate (0,0)

Quadrants

The coordinate plane is separated into for of these...

X- axis

The horizontal number line

Y-axis

The vertical number line

Terminating Decimal

a decimal that ends

repeating decimal

decimal that has a pattern that repeats

Subtraction Property of Equality

Subtracting the same number from each side of an equation produces an equivalent equations.

Multiplication Property of Equality

multiply each side of an equation by the same number produces an equivalent equation

Division Property of Equality

dividing each side of an equation by the same number produces an equivalent equation

Ratio

a comparison of two quantities using division

Ex. 3 to 4

Ex. 3 to 4

Rate

is a ratio of two quantities with different units

60 miles/ 2 hours

60 miles/ 2 hours

Unit Rate

a rate with a denominator of 1

Ex. 30 miles/ 1 hour

Ex. 30 miles/ 1 hour

Slope

rate of change between any two points on a line

Measures the steepness of a line

Measures the steepness of a line

Proportion

equation stating that two ratios are equivalent

Cross Products

a method used to solve a proportion