Basics & Formulas

Question 0

Multiply fractions

Answer 0

Multiply numerators, multiply denominators

Question 1

Add/Subtract fractions

Answer 1

1. Common denominator

2. Add numerators across

Question 2

Divide fractions

Answer 2

Multiply first fraction by reciprocal of 2nd

Question 3

Sum of triangle interior angles

Answer 3

180°

Question 4

PERMDAS

Answer 4

Parentheses
Exponents
Radicals
Multiplication
Division
Addition
Subtraction

L to R!

Question 5

Percent formula

Answer 5

part = percent x whole

Question 6

SET UP: What is 12 percent of 25?

Answer 6

.12 x 25

3

Question 7

SET UP: 45 is what percent of 9?

Answer 7

45/9
= 5 x 100

500%

Question 8

SET UP: 8 is what percent of 64?

Answer 8

8/64 = .125

12.5%

Question 9

SET UP: 12 is 2% of what number?

Answer 9

12 = 2x

12/2 = 6 x 100 = 600

Question 10

Percent increase formula

Answer 10

Amount of increase / Original whole

Question 11

Percent decrease formula

Answer 11

Amount of decrease / Original whole

Question 12

SET UP: Price goes from $80 to $100. What is the percent increase?

Answer 12

20/80 = .25 = 25%

Question 13

SET UP: Average of all integers from 13 to 77

Answer 13

Same as average of 13 & 77

45

Question 14

How to count consecutive numbers (from A to B)

Answer 14

A to B inclusive is B-A + 1.

Question 15

SET UP: How many integers from 73 to 419, inclusive?

Answer 15

419 - 73 + 1

Question 16

How to multiply/divide values with exponents

Answer 16

Multiply- Add exponents

Divide- Subtract exponents

Question 17

Exponent raised to an exponent (x^a)^b

Answer 17

Multiply exponents

(3^4)^5 = 3^20

Question 18

0 to any power =

Answer 18

0

Question 19

Any number to 0 power =

Answer 19

1

Question 20

How to handle negative powers?

Answer 20

A number raised to a negative is reciprocal

Ex. 5^-3 = 1/5^3

Question 21

How to handle fractional powers?

Answer 21

Fractional exponents relate to roots

^1/2 = square root
^1/3 = cubed root

4^1/2 = sq root of 4 = 2