Fundamental Math Skills

Question 1

What is the Midpoint Formula? (x, y) = ?

Answer 1

x + x    
───,
2
y + y
───
  2

Question 2

How do you find slope? M = ?

Answer 2

y² - y¹
───
x² - x¹

Question 3

What is the Pythagorean theorem?

Answer 3

a² + b² = c²

Question 4

Combinations: 3 socks, 5 shoes, 12 shirts. How many outfits?

Answer 4

3 x 5 x 12 = 180

Question 5

a² x a³ = ?

Answer 5

a² x a³ = a⁵

You should add the exponents together.

Question 6

Division rule for exponents?

Answer 6

a⁴ ➗ a² = a⁴ ⁻ ²

Question 7

( a² )⁵ = ?

Answer 7

( a² )⁵ = a²ˣ⁵

Question 8

If there is a fraction and the numerator has a exponent what happens to the rest of the fraction?

Answer 8

a⁴
─ =
b

a⁴
─
b⁴

Question 9

Zero exponent rule?

Answer 9

a⁰= 1

Question 10

Negative exponent rule?

Answer 10

a⁻² =
1
─
a²

Question 11

Substituting values into polynomials
f (x) = -3x² + 5x + 4
f(-5.2) = ?

Answer 11

F(x) = -3(-5.2)² + 5(-5.2) + 4

Question 12

A rational can be written as

Answer 12

a fraction of a whole number

Question 13

What is probability

Answer 13

P(a) =

Want
────
#Total

a=want

Question 14

Complex Numbers

i = ?

Answer 14

i is equal to √1

Question 15

Complex numbers

i² = ?

Answer 15

i² = − 1

Question 16

1 meter is equal to how many feet?

Answer 16

1 meter is equal to 3.3 feet.

Question 17

1 kilogram is equal to how many pounds?

Answer 17

1 kilogram is equal to 2.2 pounds.

Question 18

1 yard is how many feet?

Answer 18

1 yard is 3 feet.

Question 19

1 mile is equal to how many kilometers?

Answer 19

1 mile is equal to 1.61 Kilometers

Question 20

What is the Arithmetic Sequence Formula?

Answer 20

a(n) = a¹ + (n-1)d
a(n) = the term you want to find.
a¹ = first term in the sequence
n = the term position (ex. for 5th term n = 5)
d = common difference of any pair of consecutive or adjacent numbers.

Question 21

What is mode?

Answer 21

Mode is the most common number.

Question 22

What is median?

Answer 22

Median is the average of the middle numbers or the middle number.

Question 23

What is mean?

Answer 23

Mean is the same as the average.

Question 24

What is the area of a circle?

Answer 24

The area of a circle is πr²

Question 25

What is the circumference of a circle?

Answer 25

The circumference of a circle is 2πr which is also equal to πd.

Question 26

The area of a square is?

Answer 26

l²

Question 27

The area of a rectangle is?

Answer 27

A = wl

Question 28

The area of a Trapezoid is

Answer 28

The area of a Trapezoid is 1/2( b + b ) (h).

Question 28

The area of a Trapezoid is

Answer 28

The area of a Trapezoid is 1/2( b + b ) (h)

Question 29

Circular Inequality formula is?

Answer 29

The Circular inequality formula is
( x - h )² + ( y - k )² = r²

( h, k ) = the center of a circle
r = radius

Question 30

What is the volume of a cube?

Answer 30

The volume of a cube is s³

where s is the side lengths of the cube

Question 31

The Volume of a Cylinder is

Answer 31

The volume of a Cylinder is πr²h

Question 32

45°–45°–90° triangle

Question 33

30°–60°–90° triangle

Question 34

3: 4 :5 Triangle

Question 35

5:12:13 Triangle

Question 36

8:15:17 Triangle

Question 37

90-45-45 triangle

Question 38

30-60-90 triangle

Question 39

²√x³ is the same as

Answer 39

3/2

x^

Question 40

What is the area of a parallelogram?

Answer 40

The area of a parallelogram is bh

Question 41

What is the perimeter of a parallelogram?

Answer 41

the perimeter of a parallelogram is
2(a + b)

b(base)
a(side)

Question 42

You can only add numbers together with exponents if they have the same ____. If the two _____ are different take the numbers to their exponent and then add.

Answer 42

1. Base

2. Bases