Part 1: Arithmetic

Question 1

(√(a)) ^ 2

Answer 1

a

Question 2

√(a^2)

Answer 2

a

Question 3

√a√b

Answer 3

√(ab)

Question 4

√a/√b

Answer 4

√(a/b)

Question 5

For odd order roots, how many roots are there for every number?

Answer 5

one, even for negative numbers.

Question 6

For even order roots, how many roots are there for every number?

Answer 6

two (a positive and negative root), if the number is positive. zero, if the number is negative.

Question 7

What is an irrational number?

Answer 7

A number with a decimal that neither terminates nor repeats.

Question 8

What is a real number?

Answer 8

The set of all rational and irrational numbers.

Question 9

What is an interval?

Answer 9

A set of real numbers in between two numbers.

Question 10

|r + s| ? |r| + |s|

Answer 10

less than or equal to

Question 11

What is a ratio?

Answer 11

A way to express the relative quantities of two values.

Question 12

15 - (6 - 4) (-2)

Answer 12

19

Question 13

(2 - 17) / 5

Answer 13

-3

Question 14

(60 / 12) - (-7 + 4)

Answer 14

8

Question 15

3^4 - (-2)^3

Answer 15

89

Question 16

(-5)(-3) - 15

Answer 16

0

Question 17

(-2)^4 times (15 - 18)^4

Answer 17

1296

Question 18

(20 / 5)^2 times (-2 + 6)^3

Answer 18

1024

Question 19

(-85)(0) - (-17)(3)

Answer 19

51

Question 20

1/2 - 1/3 + 1/12

Answer 20

1/4

Question 21

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

Answer 21

-5/14

Question 22

(7/8 - 4/5)^2

Answer 22

9/1600

Question 23

(3/-8)/(27/32)

Answer 23

-4/9

Question 24

Which of the integers 312, 98, 112, and 144 are divisible by 8?

Answer 24

312 and 112 and 144

Question 25

What is the prime factorization of 372

Answer 25

2 * 3 * 2 * 31

Question 26

What are the positive divisors of 372

Answer 26

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, and 372

Question 27

What are the prime divisors of 100?

Answer 27

2, 5

Question 28

What are the prime divisors of 144?

Answer 28

2, 3

Question 29

Which of the integers 2, 9, 19, 29, 30, 37, 45, 49, 51, 83, 90, 91 are prime?

Answer 29

2, 19, 29, 37, 83

Question 30

What is the prime factorization of 585?

Answer 30

3 * 3 * 5 * 13

Question 31

True or False: -5 < 3.1

Answer 31

True

Question 32

True or False: √16 = 4

Answer 32

True

Question 33

TF: 7/0 = 0

Answer 33

False

Question 34

TF: 0 < |-1/7|

Answer 34

True

Question 35

TF: 0.3 < 1/3

Answer 35

True

Question 36

TF: (-1)^87 = -1

Answer 36

True

Question 37

TF: √((-3)^2) < 0

Answer 37

False

Question 38

TF: 21/28 = 3/4

Answer 38

True

Question 39

TF: -|-23| = 23

Answer 39

False

Question 40

TF: 1/2 > 1/17

Answer 40

True

Question 41

(59^3)(59^2) = 59^6

Answer 41

False

Question 42

-√25 < -4

Answer 42

True

Question 43

What is 40% of 15?

Answer 43

6

Question 44

What is 150% of 48

Answer 44

72

Question 45

What is 0.6% of 800

Answer 45

4.8

Question 46

15 is 30% of what number?

Answer 46

50

Question 47

11 is what percent of 55?

Answer 47

20%

Question 48

What percent is an increase of 200 to 234?

Answer 48

17%

Question 49

What percent is a decrease of 160 to 152?

Answer 49

5%

Question 50

If you take 40 and increase by 20% then decrease by 25% what is the final number?

Answer 50

36

Question 51

Total of 20. If ratio of dogs to cats is is 3:2, how many cats?

Answer 51

8

Question 52

If c is even, and d is odd, is the final number even or odd? | c + 2d

Answer 52

even

Question 53

If c is even, and d is odd, is the final number even or odd? | 2c + d

Answer 53

odd

Question 54

If c is even, and d is odd, is the final number even or odd? | cd

Answer 54

even

Question 55

If c is even, and d is odd, is the final number even or odd? | c^d

Answer 55

even

Question 56

If c is even, and d is odd, is the final number even or odd? | (c + d)^2

Answer 56

odd

Question 57

If c is even, and d is odd, is the final number even or odd? | c^2 - d^2

Answer 57

odd

Question 58

When the positive integer n is divided by 3, the remainder is 2, and when n is divided by 5, the remainder is 1. What is the least possible value of n ?

Answer 58

11