Math Practice

Question 1

2^3 ( carot sign “^” means exponent!)

Answer 1

2 x 2 x 2=8

Question 2

16^(1/2)

Answer 2

square root of 16 = 4

Question 3

16^(-1/2)

Answer 3

1 / (square root of 16) = 1/4

Question 4

MADSPM (for exponents with same base)

Answer 4

If multiplying the bases, add the exponents; if dividing the bases, subtract the exponents; if raising the base to another power, multiply the exponents.

Question 5

x^3 * x^2

Answer 5

x^(2+3) = x^5

Question 6

(x^5) / (x^2)

Answer 6

x^(5-2) = x^3

Question 7

(x^3)^2

Answer 7

x^(3*2) = x^6

Question 8

Volume of a cube with side length 3

Answer 8

Length x width x height = 3x3x3 = 27

Question 9

prime number

Answer 9

a number that can only be divisible by one and itself

Question 10

smallest prime number

Answer 10

2

Question 11

Area of a triangle

Answer 11

(1/2) Base x height

Question 12

isosceles triangle

Answer 12

triangle with two sides equal

Question 13

mean of 7, 1, 1, 4, 2

Answer 13

(7+1+1+4+2)/5 = 3

Question 14

mode of 7, 1, 1, 4, 2

Answer 14

1 (most frequent)

Question 15

median of 7, 1, 1, 4, 2

Answer 15

2 (middle number in the list)

Question 16

Product

Answer 16

Answer to multiplication problem

Question 17

Sum

Answer 17

Answer to an addition problem

Question 18

Range of 7, 1, 1, 4, 2

Answer 18

7-1= 6 (biggest - smallest)

Question 19

Equilateral triangle

Answer 19

Triangle with three equal sides

Question 20

0^5

Answer 20

0

zero to any power is 0

Question 21

9^0

Answer 21

1

anything to the 0 power is one

Question 22

quotient

Answer 22

answer to a division problem

Question 23

difference

Answer 23

answer to a subtraction problem

Question 24

factors of 12

Answer 24

divisor, number that goes into another number (limited number): 1, 2, 3, 4, 6, 12

Question 25

multiples of 12

Answer 25

times table numbers (infinite number): 12, 24, 36, 48, …

Question 26

Area of a circle of radius 5

Answer 26

(pi)(radius)^2 = 25pi

Question 27

Circumference of a circle 5

Answer 27

2(pi)(radius) = 10pi

Question 28

Various Numbers to Remember to Plug In for Quant Comp (DFONZ)

Answer 28

Different (Big/Small)
Fractions
One
Negatives
Zero

Question 29

Slope using coordinates

Answer 29

Rise / Run

Or

X2-X1

Question 30

What is the slope?

y=5-2x

Answer 30

slope = -2

coefficient in front of the x in y=mx+b form

Question 31

What is the slope?

4y - 2x = 5

Answer 31

slope = 1/2

must solve for y to get into y=mx+b form before looking at the number in front of x!

Question 32

What two regular equations does this absolute value equation equal?

|x-2| < 4

Answer 32

x - 2 < 4

AND

x - 2 > -4

Question 33

i^2

Answer 33

i = sq. root of -1

i^2 = (sq. root of -1)(sq. root of -1) = -1

Question 34

How do you distribute this?

x+2)(x-4

Answer 34

FOIL: first, outer inner last

xx=x^2 x4=4x
2x=2x 2-4= -8

x^2 + 4x + 2x -8 = x^2 + 6x - 8

Question 35

What is 5.24*10^(-5) in regular notation?

Answer 35

.0000524

Question 36

What is 6730000 in scientific notation?

Answer 36

6.73 * 10^6