Mathematics

Question 1

Prime vs. Composite number

Answer 1

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

Ex. 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself

Composite is any number that isn’t prime

Question 2

Rational number

Answer 2

A real number that includes integers, whole numbers, natural numbers

rational number is a number that can be written as a fraction. Can be positive or negative.

Question 3

Irrational Number

Answer 3

A number that cannot be expressed as a fraction for any integers and have decimal expansions that neither terminate nor become periodic. nonrepeating decimals

Question 4

Negative exponent

Answer 4

5^-2 = 1/5^2

1/9^-2 = 9^2

2^-1 = 1/2

Question 5

Adding Fractions

Answer 5

Step 1: Make sure the bottom numbers (the denominators) are the same
Step 2: Add the top numbers (the numerators), put that answer over the denominator
Step 3: Simplify the fraction (if needed)

1/3 + 1/5 = 8/15

Question 6

Subtracting fractions

Answer 6

Step 1. Make sure the bottom numbers (the denominators) are the same
Step 2. Subtract the top numbers (the numerators). Put the answer over the same denominator.
Step 3. Simplify the fraction (if needed).

1/2-1/6 = 2/6

Question 7

Mixed fractions to improper fractions

Answer 7

3 5/9

9x3=27

27+5= 32

ANS: 32/9

Question 8

Temperature conversion equations

Answer 8

F° to C°: (F - 32) x 5/9

C° to F°: (C x 9/5) + 32

K° to C°: K - 273.15

Question 9

Inequality Rules

Answer 9

• Flip sign when dividing or multiplying by (-) # in inequality
• what you do to one side of an inequality you do to the other in a double sided inequality

Question 10

Square Root rules

Answer 10

• Positive root and Negative root= absolute value ex. √25= 5 or -5
• Can’t square root a negative number ex.√-16 🙅🏽‍♀️

Question 11

Function rules

Answer 11

• A function cannot have 2 different y-values paired with the same x-value (9,3) (9,-3)
• Proportional functions y/x=k

Question 12

Standard form of linear equation

Answer 12

Ax+By=C

Question 13

Mean absolute deviation

Answer 13

Step 1: Calculate the mean.
Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.
Step 3: Add those deviations together.
Step 4: Divide the sum by the number of data points.

Question 14

Check

Answer 14

Chart

Question 15

Dividing Fractions

Answer 15

Multiply by reciprocal

Ex. 1/3 ÷ 3/4

1/3 x 4/3 =

4/9