GRADED A+ 2025/2026
Dividing Decimals - Move the decimal to the right in the divisor, making it a whole
number. Move the decimal the same number of places in the dividend and bring to the
top in the quotient, then divide normally.
(Example: 34/2.5 is 340.0/25.)
Integers - Whole numbers and their opposites (. . . -3, -2, -1, 0, 1, 2, 3. . .)
Order of Operations - PEMDAS (parenthesis, Exponents, Multiplication, Division,
Addition, Subtraction)
Absolute Value - the absolute value of a number is never negative; it only shows how
far the number is from zero |x|
Ratios - Used to make comparisons between two numbers. Can be written as a fraction
using the word "to" or a colon :
Proportional ratios - Two ratios that are equal
a:b = c:d. or. a/b=c/d
Percent Problems - Base= Part /Percent
Part= Percent x Base
Percent= Part /Base
Percent Increase/Decrease - Percent Increase = original value-new value/original value
x 100
Percent Decrease = new value-original value/original value x 100
Discount - Multiply the regular price by the rate of discount
Find the selling price - Original price - discount
Find Tax - Multiply the tax rate to the taxable amount
Sophia purchased a computer for $820. What was her total if the sales tax is 5%?
Tax=0.05 x 820 =41
Final Price: 820+41=$861
Find Tip - Multiply the rate to the selling price.
Nicole and her friends ate at a resturant. Their bill was $60 and gave their server a 15%
tip. How much did they pay?
Tip=60 x 0.15 =9
, Final Price: $60+$9=$69
Interest - A sum paid or charged for the use of money or for borrowing money
Principal= Initial amount
Interest= principal x rate x time
What is the interest on a $200 investment at 5% for 3yrs?
i=200 x 0.05 x 3. i=$30
Exponents - The number that is small and raised to show how many times to multiply
the number by itself.
Anything races to the power of 0 is 1
X^a/ x^b= X^a-b
2x^2+3x^4= 6x^6
Division Property of Exponents - a^m/a^n = a^m-n
16x^3y / 2xy^2=. 8x^2/ y
Negative exponents - The base is on the wrong side of the fraction line, so you need to
flip the base to the other side.
Scientific Notation - Used to write very big or very small numbers in decimal form. It is
written in the form: m x 10^n
m= greater than 1 and less than 10
Polynomial Expressions - An expression consiting of variables and coefficients that
involves only the operations of addition, subtraction, multiplication, and non-negative
interger exponents variables
Distributive Property - a(b + c) = ab + ac
Graphing Inequalities (Line) - Pay attention to whether there is a solid line or dotted line
Test (0,0) to determine TRUE Side
Finding Slope - m=y2-y1/x2-x1
Graphing using slope - Slope-intercept form of a line: given the slope m and the y-
intercept b then the equation of the line is:
y=mx+b
Linear Equations - What is the equation of the line that passes through (3,-4) and has a
slope of 6?