1. Mrs. Bonifay’s Algebra I Class
Math Review
Mrs. Bonifay’s
Algebra I Class

2. Types of Numbers Natural Numbers: Also known as counting numbers
(1, 2, 3, 4, 5, 6…………)
Whole Numbers:
Natural numbers plus 0
(0, 1, 2, 3, 4, 5, 6…………)

3. More Types of Numbers Positive Numbers: All numbers greater than zero
Negative Numbers:
All numbers less than zero
(Zero is neither positive nor
negative!)

4. And More Types of Numbers!
Integers:
Whole numbers and their opposites
example: -1 and 1 are opposites
Rational Numbers:
Numbers which can be represented
as a fraction of two integers

5. A Little More Even and Odd
All even numbers are divisible by 2.
All odd numbers are NOT divisible
by 2.
Remember: Zero is neither positive
nor negative!

6. Absolute Value Absolute value is a number’s distance from zero.
Absolute values are always, always, always positive EXCEPT for the absolute value of zero which is zero!
Example: [-1] = 1 [1] = 1 [0] = 0

7. Add or Subtract
When you want to find the SUM of two or more numbers, you:
ADD (+)
When you want to find the DIFFERENCE of two or more numbers, you:
SUBTRACT (-)

8. Multiply or Divide
When you want to find the product of two or more numbers, you:
MULTIPLY (x)
When you want to find the quotient of two or more numbers, you:
DIVIDE (/)

9. Place Values The place in a multi-digit number a single digit holds.
EXAMPLE: In the number 123 (“one-hundred twenty-three”), “3” is in the ones place, “2” is in the tens place, and “1” is in the hundreds place.

10. FRACTIONS A FRACTION is a part of a whole.
EXAMPLE: If I have a pizza with six slices, one slice of pizza will be 1/6 or one piece out of six pieces.

11. More Fractions
In the fraction 1/6, “1” is called the numerator, and “6” is called the denominator.
numerator
denominator

12. Even More Fractions
REMEMBER: When the numerator and the denominator are the same number, the fraction is equal to “1”
Example: Numerator is 7 = 1
Denominator is 7

13. Adding Fractions
When adding fractions with like denominators, simply add the numerators.
Example: = 4
= 4

14. Subtracting Fractions
As with addition, when subtracting fractions with like denominators, simply subtract the numerators.
Example: = 1
= 1

15. Multiplying Fractions
When multiplying fractions, multiply the numerators AND multiply the denominators.
Example: x = 6
2 x 3 = 6
3 x 5 = 15

16. Dividing Fractions
When dividing fractions, “flip” the second fraction in the equation and then multiply.
Example: / 3 = 2 x 5 = 10

17. Greater Than, Less Than, and Equal To
“Greater than” (>) is when the first number listed is more than the second number listed.
Example: 56 > 45
“Less than” (<) is when the first number is less than the second number.
Example: 45 < 56
“Equal to” (=) is when the first and second number are the same value.
Example: 45 = or = 6 6

18. 4 Exponents 2 This would be read “four to the second power.”
It would be the same at “4 x 4” which is 16
“4” is the BASE and “2” is the EXPONENT
“16” is the power.