JV Math

Give the domain of the following function: y = the square root of x

all non negative real numbers OR zero and the positive real numbers

What is the term for a line segment that goes through the vertex of a triangle and is perpendicular to a line containing the base?

altitude

What is the term for a line from the center of a polygon at right angles to aany of its sides?

apothem

What is "i" raised to the 205th power?

i

Name the term that describes the relationship between lines that create a 90 degree angle

perpendicular

What is cosine at 45 degrees?

rad 2 over 2

What values of x are solutions for x^2 = -2x - 3

x = -3 and x = 1

What values of x are solutions for x^2 + 2x = 8

x = -4 and x = 2

What values of x are solutions for x^2 - 3x = 0

x = 0 and x = 3

What values of x are solutions for x^2 - 3x = 4

x = 4 and x = -1

What values of x are solutions for x^2 - 16 = 0

x = 4 and x = -4

Given the rational function (4x - 2) / (x - 7), what is its vertical asymptote?

x = 7

What is the vertex of the quadratic function (x + 17)^2 + 4?

(-17, 4)

What is the value of x when -5x + 8 = -3x + 10

-1

What is the value of x when x + 3 = -2x - 2

-5/3

What is the additive inverse of the number that is equal to the sum of 3+3

-6

Evaluate the polynomial (1/2)x^2 + 3(x) - x, where x = -4

0

Subtract the mean of 2 and 4 from the cubed root of 27

0

What is the sine of q times pi, if q is an integer value?

0

If n to the x power is equal to n, and x is any non zero real number, what are the two possible real number values of n?

0 and 1

What is sine 90 degrees?

1

You flip a coin twice. If the first flip is tails, what are the odds of getting heads on your second flip?

1 / 2

Find the multiplicative inverse of the number that is 10 less than the product of 4 and 5.

1/10

In a fair deck of cards (52), what are the odds of drawing a red card?

1/2

You roll two six sided die. What are the odds of getting box cars (two sixes)?

1/36

You roll two six sided die. What are the odds of getting snake eyes (two ones)?

1/36

In a fair deck of cards (52), what are the odds of drawing a spade?

1/4

You roll two six sided die. What are the odds of both being even numbers?

1/4

You roll two six sided die. What are the odds of rolling 2 prime numbers?

1/4

You roll a 20 sided die 2 times. What are the odds of rolling a 20 and then a 7 in that order?

1/400

You roll two six sided die. What are the odds of getting a 7?

1/6

You roll two six sided die. What are the odds of getting doubles (the same number on both die)?

1/6

Add the square root of 9 to the largest prime number below 10

10

What is the geometric mean of 20 and 25?

10 root 5

What is the measure of a single interior angle of a pentagon?

108 degrees

What is the median of the square roots of 121, 81, 64, 144, and 225?

11

You roll a twenty sided die. What are the odds of rolling an odd or prime number?

11/20

What is the range of the following numbers: 1245, 75, 678, and 298

1170

What is the least common multiple of 6, 4, and 3?

12

What is the mode of the following numbers: 12, 14, 12, 18, 19, 14, 36, 12, and 26?

12

What is the median of the cubes of 8, 2, and 5?

125

If a right triangle has sides of lengths 5 and 12, what is the length of the hypotenuse?

13

Calculate the area of a trapezoid with base lengths 6 and 8 and a height of 2?

14

What is the median of the following numbers: 324, 56, 75, 980, 143?

143

What is the easure of a single interior angle of a decagon?

144 degrees

What is the greatest common factor of 30, 60, and 45?

15

You flip a fair coin 4 times. What are the odds of getting at least 1 heads?

15/16

What is the sum of all numbers from 11 to 20?

155

What is the arithmetic mean of the following numbers: 10, 15, 20, 25?

17.5

A rectangular solid has a length of 8 inches, a width of 6 inches and a height of 3 inches. Find its total surface area.

180 square inches

Evaluate the following expression, using correct order of operations: 4 + 4 * 4 - 4 / 4

19

What is the arithmetic mean of 10, 20, and 27?

19

What is the mode of the following numbers: 19, 16, 26, 19, 26, and 6?

19 and 26

Divide the square root of 100 by the arithmetic mean of 4 and 6

2

Find the square root of the number that, when added to 5, is equal to one less than 10

2

Solve for "X" given the equation: the square root of 100 minus X = the square root of 64

2

What is the number of diagonals that for a rectangle?

2

Find the slope of the line with the equation -2x + 5y = 13

2 / 5

Find the measurement of the diagonal of a square with a side of 2,957?

2,957 root 2

In a fair deck of cards (52), what are the odds of drawing a spade of even or face value?

2/13

What is the greatest common factor of 20, 40, and 60?

20

If 40% of a given number is 8, then what is 15% of the given number?

3

Use the order of operations to solve (10 x 6) / (5 x 4)

3

What is the geometric mean of 2 and 4.5?

3

What is the mean of the first three prime numbers?

3 1/3

In a fair deck of cards (52), what are the odds of drawing a face card?

3/13

What is the median of the following numbers: 30, 45, 24, 54, & 18?

30

Find the measure of each exterior angle of a regular polygon with 12 sides.

30 degrees

What is the range of the following numbers: 101, 51, 354, & 123?

303

What is the range of the following numbers: 15, 32, 28, 46, and 39?

31

What is the radius of a circle with the equation 2x^2 + 2y^2 = 39^2

39

Consider a bag with 3 different colors of marbles in it. If you were to reach into the bag blindfolded, what is the least amount of marbles you have to draw in order to be guaranteed to have two marbles of the same color?

4

What is the arithmetic mean of the following numbers: 2, 4, 6, 4?

4

What is the cube root of 8 squared?

4

If the shorter leg of a 30 degree, 60 degree, 90 degree triangle has a length of 4, how long are both the longer leg and the hypotenuse?

4 root 3 and 8 respectively

What is the least common multiple of 4, 8, and 10?

40

What is the mean of the squares of 3, 6, and 9?

42

What is the product of the first three positive, even integers?

48

Find the measurement of the diagonal of a rectangle with sides of 3 and 4?

5

What is the greatest common factor of 10, 15, and 25?

5

What is the mean of the following numbers: 8, 3, 3, 6?

5

What is the value of x when 10x + 6 = 12x - 4

5

You roll two six sided die. What are the odds of getting an 8?

5/36

You roll two six sided die. What are the odds of rolling two different numbers?

5/6

Solve for "X" if 2X = the square root of 144

6

What is the median of the cube roots of the following numbers: 8, 1000, 216, 125, and 512?

6

What is the product of the first 3 positive integers?

6

Between which two integer values is the square root of 45?

6 and 7

Solve 2 x 3 x (4 + 6)

60

What is the least common multiple of 2, 3, 4, 5, and 6?

60

What is the solution when you calculate (6 + 8 x 3) and square the sum?

900

Give the domain of the following function: y = 1 divided by the difference of x an 3

All real numbers except 3

If today is 3 days after the day before Thursday, what day is today?

Saturday