Math

Question 1

How to solve a^8/a^6=

A with exponent of 8 divided by A with an exponent of 6

Answer 1

When exponents have the same bases and are divided, the exponents are subtracted.
Keep the bases, and subtract 8-6 to equal 2

Answer: A^2

Question 2

Yard to meter conversion

Answer 2

1 yard = 0.914 meter

Question 3

Rules of operation

Answer 3

PEMDAS
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Question 4

Finding the degree of angles of a triangle

Answer 4

All angle degrees added together must equal 180.

Question 5

Multiplying fractions:

Answer 5

Multiply numerators together
Then multiply denominators together

Denominators do not need to match.

Question 6

Pythagorean theorem

Answer 6

In a right angled triangle:
the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The triangle must have a 90degree angle. The hypotenuse is the side opposite the 90 degree angle.

a^2+ b^2= c^2

c is the longest side of the triangle
a and b are the other two sides

Question 7

Rules for multiplying vs dividing exponents

Answer 7

When multiplying exponents with same base, you can add the exponents for the answer.

When dividing, you can subtract the exponents.

Question 8

Mode

Answer 8

Number occurring most times in a series of numbers

Question 9

Kg to lb equation
And
Lb to kg equation

Answer 9

Kg to pounds- multiply by 2.2

Pounds to kg- divide by 2.2

Question 10

What number is the opposite of itself?

Answer 10

0
Explanation:
1 is opposite of -1 because they cancel each other out.

Question 11

How to calculate the percentage change- how much of percentage a number has changed.

Answer 11

Step 1: Calculate the change (subtract old value from the new value)
Step 2: Divide that change by the old value (you will get a decimal number)
Step 3: Convert that to a percentage (by multiplying by 100 and adding a “%” sign)

Difference divided by old value X 100 = %

Question 12

To get percentage of some part of a whole- what is formula?

Answer 12

Divide the small part by the whole and that will be the percentage.

For example: what is % of people who went to the picnic who wore purple. 994 people went to picnic, 311 people wore purple.
So 311/994= 31.3=31%

Question 13

Addition or subtraction of fractions

Answer 13

Must have same denominator.

Then add or subtract numerators and keep same denominator.

Question 14

Multiplying fractions

Answer 14

Do not need same denominators.

Multiply numerator with numerator, and denominator with denominator.

Question 15

Dividing fractions

Answer 15

Turn divisor upside down. (Second number is divisor- the number after divided by symbol)

Then multiply the fractions.
Numerator X numerator
Denominator X denominator

Question 16

Multiplying decimals

Answer 16

Multiply decimals as you would whole numbers. then put decimal in the same amount of decimal spaces there are in the beginning numbers total.

Question 17

Perimeter

Answer 17

Length around exterior of shape.

Add the lengths of the sides.

Question 18

Circumference formula

Answer 18

Perimeter of a circle is its circumference.

2X pi X radius
Or

Pi X diameter

Question 19

Area

Answer 19

Amount of space of a 2 dimensional object.
Generally base X height.

Square- s^2
Rectangle- L X W
Parallelogram- B X H
Triangle- 1/2 X B X H
Trapezoid- 1/2 (b1+b2) X H
Circle- pi X radius^2

Question 20

Surface area

Answer 20

Sum of exterior areas of a 3 dimensional object.

Find area of each side and then add them.

Question 21

Finding speed (Rate) in a mph problem. What is the equation?

Answer 21

Speed= distance /time

Question 22

Equation to solve for distance

Answer 22

D = s x t

Question 23

Equation for finding time in speed equation

Answer 23

t = d ÷ s

Question 24

Ways to remember speed/ distance problem equations.

Answer 24

Finding distance is the only equation that multiplies.

In the other equations, distance is always the dividend (the number that is getting divided by the divisor)

Question 25

Solving equation when multiplying exactly 2 binomials.

X+2)(2x+5

Answer 25

FOIL
First
Outer
Inner
Last

First multiply each and the add all of the answers to FOIL

Question 26

Skewed graph- which direction is skewed?

Answer 26

The lower end is the direction it is skewed