A combination of numbers and expressions; may contain addition, subtraction, multiplication, division, parenthesis and exponents.
Find the number that the expression represents.
Order of Operations
Multiplication & Division (from left to right)
Addition & Subtraction (from left to right)
Numbers that can be written in the form of a/b, where a & b are integers with b≠0. They include integers, fractions, terminating/repeating decimals, and perfect square roots.
ex: 2/3, 7, √16
Non-repeating, non-terminating decimals, and square roots of numbers that are not perfect squares.
ex: π, √7
The product of a number times itself; the square roots are always integers.
ex: 1, 7, 9, 14
Real Number Line
A number line on which every real number can be matched with a point on the line.
The distance a real number is from zero on a number line. Because it is distance, it is always positive.
Rules for Adding and Subtracting Integers
1. Same signs you add and keep the sign.
2. Different signs you subtract and get the sign of the largest.
Rules for Multiplying and Dividing Integers
1. Negative • negative = positive
2. Negative • positive = negative
3. Double negative = positive
Symbols used to order or compare real numbers.
Rules for Adding and Subtracting Real Numbers
When they have the same sign:
add the numbers and keep the sign.
When the signs are different:
subtract the numbers and keep sign of the larger one.
Rules for Multiplying and Dividing Real Numbers
Odd number of negatives:
multiply/divide and the result will be negative.
Even number of negatives:
multiply/divide and the result will be positive.
Symbols used to represent numbers.
Terms that contain the same variables; with corresponding variables having the same powers.
A value that when substituted in an equation in place of a variable, makes the equation true.
A comparison of two numbers. It can be written as a/b, a:b, or a to b.
Two ratios that are equal, cross products are equal. (Money problems involving percent can also be solved by using this.)
-Can be used to calculate percent increase or decrease.
Of one-hundred, (can be used to calculate discounts and tax).
Means that as x-up, y-up, or as x-down, y-down.
Means that as x-up, y-down.
Direct Variation (formula)
y = kx
Inverse Variation (formula)
y = k/x
Area of a Rectangle (formula)
L • W
Area of a Triangle (formula)
B • H/2
Area of a Circle (formula)
Area of a Trapezoid (formula)
B1 + B2 • H/2
Circumference of a Circle (formula)
2πr or πd
Perimeter of a Rectangle (formula)
2L + 2W (add all sides)
Volume of a Cube (formula)
L • W • H
Surface Area of a Cube (formula)
Lateral Area of a Cylinder (formula)
L = 2πrh
Surface Area of a Cylinder (formula)
SA = 2πrh + 2πr2 (squared)
Verbal Expressions (need to switch)
1. More than
2. Less than
Verbal Expressions (use parenthesis)
1. Sum of
2. Difference of
Measures the distance around the object.
A pair of numbers that describes a point's location on the coordinate plane.
The horizontal axis, side to side.
The vehicle axis, up and down.
The point where the y and x axis meet, (0,0)
The four parts of a graph; numbered counter clock wise (starting with the upper, right quadrant).
If the ordered pair is exactly on either the y or x axis it has no quadrant, (none).
A "slide" that moves the graph to a new position horizontally and/or vertically on the coordinate plane.
Flips a figure over a line of reflection.
A set of ordered pairs.
Can be expressed in four different ways:
1. Ordered pairs
A set of first coordinates in a relation.
(7,5) domain: 7
A set of second coordinates in a relation.
(7,5) range: 5
A relation in which none of the first coordinates repeat. (All of the Xs are different.)
Can be a rue with input values (the domain) and output values (the range).
A function whose graph is a line function.
Measures the steepness of a line. (The rate of vertical change to horizontal change.)
(X1,Y1) and (X2,Y2)
M = ∆Y/∆X (Y2-Y1/ X2-X1)
y = mx+b
where 'm' represents the slope and 'b' (0,#) represents the y-interpret.