Integers

Counting numbers, their opposites, and zero. No decimals or fractions.

(...-4, -3, -2, -1, 0, 1, 2, 3, 4...)

Rational Number

A number that can be expressed as a fraction/ratio and has a decimal value that terminates or repeats.

Irrational Number

A number that has a decimal value that does not repeat or terminate. The square root of a non-perfect square or the cube root of a non-perfect cube.

Terminating Decimal

A decimal that stops or ends

(0.125)

Repeating Decimal

A decimal where a digit or a group of digits repeats forever.

(0.77777777777....)

Equation

A grouping of terms or values that use an equals sign to show an equal relationship. Statement in which two expressions are equal.

2x - 3 =7

Expression

A grouping of terms or values that DOES NOT have an equals sign

6x + 7

Solution

A value we can put in place of the variable that makes the equation true.

2 + x =4

2 + 2 =4

4=4

Variable

A letter or symbol that represents an unknown value

(x)

Coefficient

The number multiplied by a variable in a term. The number with the variable.

12x

Constant

A value or number that never changes in an equation. A term that doesn't have a variable.

12x - 3 = 4

^ ^

Distributive Property

Multiply a number outside parenthesis to both terms inside to get rid of parenthesis.

3(x - 7)

Combining Like Terms

Simplifying the expression to lessen the number of terms

5x + 9 + 2x

5x +2x =7x

9=9

7x + 9

Opposite

Two numbers that are equal distance from zero (positive/negative)

-4 and 4

Inverses

An operation that reveres/ undoes another

(addition and subtraction)

Step to Solving an Equation

1. Distribute

2. Combine Like Terms

3. Eliminate a variable from one side of the equation

4. Undo the Constant

5. Undo the Variable

6. Undo the Power- Square root or cube root

Infinite Solution

An equation that has the same variable coefficient and constant on either side of the equal sign

3x + 4 = 3x + 4

One Solution

An equation that has one or different variable coefficient on each side of the equal sign

-2x + 4 = 6x + 7

No Solution

An equation that has the same variable coefficients but different constants on either side of the equal sign

6x + 7 = 6x + 1

Pythagorean Theorem

In a right triangle, the hypotenuse squared is equal to the sum of the legs squared. Used to find the distance between two points and prove that a triangle is right or not.

a^2 + b^2 = c^2

Hypotenuse

The longest side of a right triangle. Opposite the right triangle

Leg

The two shorter sides of a right triangle. They form the right triangle

Volume

Space occupied within a three- dimensional object

Radius

Th distance from the center of a circle to any point on its edge

Diameter

The distance from one point on a circle through the center to another point on the circle.