Math in book

Question 1

How do you find the area of a circle?

Answer 1

A = pie x r(squared)

Question 2

How do you find the area of a triangle?

Answer 2

Area of a triangle = 1/2 X base X height

Question 3

How do you find the perimeter of a parallelogram?

Answer 3

The perimeter of a parallelogram is the sum of the lengths of all four of its sides. A parallelogram has two pairs of equal opposite sides.

Question 4

Anything to the zero power equals what? ex: 5^0 =?

Answer 4

Anything to the zero equals 1.
5^0 = 1
15^0 = 1
-25^0 = 1

Question 5

What is the sixth term in the sequence in which the nth term is n(n-1)^2

Answer 5

6(6-1)^2
6(5)^2
6(25)
=150

Question 6

What is (2 x square root of 2) x (square root of 6)?

Answer 6

If you have two squared roots that are multiplied, then multiply them. 
So:
2 x 6 = 12
2 x square root of 12
which can then be simplified down.
since 3 x 4 = 12 and 4 can be squared it goes
2 x square root of 3 square root of 4
square root of 4 is two
2 x 2 = 4
so it is then 4 x square root of 3.

Question 7

Can you add two square roots?

Answer 7

Yes, if the number being squared is the same.
Ex:
2(square root 3) + 8(square root 3) = 10(square root 3)

Question 8

What does the sum of the angles in a triangle equal out to?

Answer 8

all angles in a triangle = 180 degrees

Question 9

What is an equilateral traingle?

Answer 9

An equilateral triangle has three equal angles.

Question 10

When no number is given in a question, what number should you use to verify your answer?

Answer 10

always use 100 if no number is given.

Question 11

In a regular polygon with n sides, the formula for the sum of the interior angles is what?

Answer 11

(n-2) x 180.

Question 12

The ratio of 1/2 to 3/5 is the same as which of the following ratios?

Answer 12

(1/2) / (3/5) = 5/6

so the ratio of 1/2 to 3/5 is the same as 5 to 6.

Question 13

If a number is raised to a negative power, what does that mean?
ex: 8 ^ -3

Answer 13

When a number is raised to the negative power, then it turns into a fraction.
ex: 8^3 = (1/8^3) = 1/512

Question 14

If given two sides of a triangle, how do you find the third lenght?

Answer 14

The length of the third side of a triangle must be between the positive difference and the sum of the other two sides. 
ex: l=12 l=18 l=?
12+18=30
18-12=6
18+12+6=36
18+12+30=60
so 36

Question 15

How do you find the average of a group of consecutive integers?

Answer 15

The average of a group of consecutive integers is equal to the average of the smallest and largest integers.

Question 16

The average of all consecutive integers from a to b inclusive is 39. Which of the following could be a and b?
4 and 74
19 and 39
25 and 53
29 and 59
33 and 45

Answer 16

39x2 = 78
so
4+74=78
19+39=58
25+53=78
29+59=88
33+45=78

so the answer is 4 and 74, 25 and 53, 33 and 45

Question 17

how many degrees does a circle have?

Answer 17

360 degress

Question 18

How many degrees does a triangle have?

Answer 18

180 degrees

Question 19

What is a defining characteristic of a right triangle?

Answer 19

A right triangle always has one angle equal to 90 degrees

Question 20

A rectangle is what?

Answer 20

• A rectangle is a four sided shape with four right angles (90degrees)
• The four angles add up to a total of 360 degrees

Question 21

An important rule about triangles is that the diagonals or a rectangle are what?

Answer 21

The diagonals of a triangle are equal.

A diagonal always divides a rectangle exactly in half and creates two equal right triangles.

Question 22

How many degrees are in a square?

Answer 22

360 degrees

Question 23

How do you find the circumference of a circle?

Answer 23

C = 2 X pie X r

So if the circumference of the circle is 6pie(squareroot of2) then

• 2pier = 6pie(squarerootof 2)
• 2r = 6(squareroot2)
• r = 3(squareroot2)

Question 24

How do you find the area of a square?

Answer 24

Length x Width

Question 25

Slope = rise/ run which means what?

Answer 25

rise = vertical
run = horizontal

Question 26

The surface area of a cube with side length (x+4) is 294. What is the value of x?

Answer 26

Since a cube has six faces, 294/6 = 49
area of a square = s^2
since the s, side, is given
-  (x+4)^2 = 49
-  solve for x
-  x = 3

Question 27

What is the combined work formula?

Answer 27

1/a + 1/b = 1/t t=time
ex:
Pipe A can fill a tank in 3 hours. If Pipe B can fill the same tank in 2 hours, how many minutes will it take both pipes to fill 2/3 of the tank?

• 1/3 + 1/2 = 1/t
• 2/6 + 3/6 = 1/t
• 5/6 = 1/t
• 6/5 hours = 1 full tank
• figure out 2/3 tank
• 6/5 X 2/3 = 12/15 simplify = 4/5 hours
• convert to minutes
• 4/5(60) = 48 minutes to fill 2/3 truck togther.

Question 28

Law of exponents say that (ab)^n =?

Answer 28

The Law of exponents says that (ab)^n = a^n x b^n