MATH

Question 1

Consider the set of all integers without zero. Is the operation division a binary operation on that set?

A) Yes, because zero is not included.
B) No, for another reason.
C) No, because zero is not included.
D) Yes, for another reason.

Answer 1

B)

Question 2

Find absolute values of the following numbers: −2, 4, −11

A) −2, 4, 11
B) 2, −4, 11
C) 2, 4, 11
D) ∣2∣, ∣4∣, ∣11∣

Answer 2

C)

Question 3

Find the additive inverse to 2012

A) 1
B) 2012
C) −1
D) There is none.
E) −2012

Answer 3

E)

Question 4

Find the additive inverse to −√ ̅7

A) −√7
B) −√7/7
C) 1 / √7
D) √ 7
E) − 1/ √7

Answer 4

D)

Question 5

Rank the following numbers on the number line in increasing order:
−√26, 3.00001, −5, √10

Answer 5

B) −√26, −5, 3.00001, √10

Question 6

Given x=3, y=−2, z= 1/3, evaluate −xy/z

A) −2
B) 18
C) 2
D) −18
E) None of these.
F) There is no solution.

Answer 6

B)

Question 7

Is the sum of any two negative numbers always negative?

A) No, it is positive.
B) Yes.
C) No, sometimes the sum is positive and sometimes negative.

Answer 7

B)

Question 8

Answer 8

Answer: 13/10

Question 9

Find the multiplicative inverse to −√7

Answer 9

Answer − 1/√7

Question 10

In the week 1 lecture, several binary operations such as AND and OR were defined on the (binary) set made up of 0 and 1. Define a binary operation on the same set (0 and 1) that is different from AND and OR by specifying the assignments (maps) for all possible pairs of elements.

A) 0, 0 → 0
0, 1 → 1
1, 0 → 0
1, 1 → 1

B) 0, 0 → 0
0,1 → 1
1, 0 → 1
1, 1 → 2

C) 0, 0 → 1
0, 1 → 1
1, 0 → 1
1, 1 → 1

D) 0, 0 → 0
0, 1 → 0
1, 0 → 0
1, 1 → 1

E) 0, 0 → 0
0, 1 → 1
1, 0 → 1
1, 1 → 1
F) 0, 0 → 0
0, 1 → 0
1, 0 → 0
1, 1 → 0

Answer 10

A) C) F)

Question 11

Simplify

Answer 11

Question 12

Simplify

Answer 12

Question 13

Find the Product

Answer 13

Question 14

Calculate

Answer 14

Question 15

Find the Product

Answer 15

Question 16

Evaluate

Answer 16

Question 17

Is the operation multiplication a binary operation on the set of even numbers?

Answer 17

Yes

Question 18

Is the operation multiplication a binary operation on the set of odd numbers?

Answer 18

Yes

Question 19

Is the operation addition a binary operation on the set of odd numbers?

Answer 19

No

Question 20

Is the operation multiplication a binary operation on the set of numbers divisible by 3?

Answer 20

Yes

Question 21

Is the operation multiplication a binary operation on the set of numbers less than 13?

Answer 21

No

Question 22

Is the operation addition a binary operation on the set of numbers divisible by 5?

Answer 22

Yes

Question 23

Is the operation multiplication a binary operation on the set of numbers greater than 13?

Answer 23

Yes

Question 24

Is the operation addition a binary operation on the set of even numbers?

Answer 24

Yes

Question 25

Is the operation addition a binary operation on the set of numbers greater than or equal to 13?

Answer 25

Yes

Question 26

Factor

Answer 26

Question 27

Factor

Answer 27

Question 28

Factor

Answer 28

Question 29

Factor

Answer 29

Question 30

Factor

Answer 30

Question 31

Calculate

Answer 31

Question 32

Calculate

Answer 32

Question 33

Reduce

Answer 33

Question 34

Calculate

Answer 34

Question 35

Reduce

Answer 35

Question 36

Simplify

Answer 36

Question 37

Calculate

Answer 37

Question 38

Simplify

Answer 38

Question 39

Calculate

Answer 39

Question 40

Calculate

Answer 40

Question 41

Find the value of the function

Answer 41

Question 42

Find the value f(x)

Answer 42

Question 43

Find the domain

Answer 43

Question 44

Is the graph symmetric

Answer 44

Yes

Question 45

Find the Range

A) The range is the set of all positive numbers
B) The range is the set of all real numbers except for 0
C) The range is the set of all real numbers
D) The range is 0
E) The range is the set of all nonnegative numbers

Answer 45

A)

Question 46

Is the graph symmetric with respect to the origin

Answer 46

No

Question 47

Find the domain

Answer 47

Question 48

Solve

Answer 48

Question 49

Solve

Answer 49

Question 50

Solve

Answer 50

Question 51

Solve

Answer 51

Question 52

Solve

Answer 52

Question 53

Find the equation of the line that goes through the point (−1, 2) and is parallel to the x-axis.

A) y=2
B) y = −1
C) x = −1
D) x=2
E) x=0

Answer 53

A)

Question 54

Find the equation of the line that goes through the points (−1, 1) and (2, 0)

A) y = −1/3 (x − 1)
B) y = − 1/3 (2x − 1)
C) y= 1/3(x−2)
D) y= 1/3(2x−1)
E) y = − 1/3 (x − 2)

Answer 54

E)

Question 55

Find the equation of the line that goes through the point (−1, 2) and is parallel to the line −x − 3y + 1 = 0

A) y= 1/3x+ 5/3
B) y= −1/3x−5/3
C) y= −1/3x+3/5
D) y = −3x + 5/3
E) y= −1/3x+5/3

Answer 55

E)

Question 56

Find the slope of the line that goes through the points (1, 1) and (−2, 3)

A) 2/3
B)− 3/2
C) 3/2
D) − 2/3
E) −1

Answer 56

D)

Question 57

Find the equation of the line that is parallel to the y-axis and goes through the point (−1, 1)

A) x = −1
B) y=1
C) x=1
D) y = −1
E) y = −x

Answer 57

A

Question 58

Find the equation of the line that goes through the point (2, −1) and is parallel to the y-axis

A) x=2
B) x = −1
C) y=2
D) y = −1
E) None of these

Answer 58

A)

Question 59

Find the x-intercept of the line 4x + 2y = 1

A) x=1
B) x=1/2
C) x=2
D) x=4
E) x=1/4

Answer 59

E)

Question 60

Find the x-intercept of the line x = −7

A) x = −7
B) y = −7
C) x= −1/7
D) does not exist
E) x=0

Answer 60

A)

Question 61

Find the y-intercept of the line 2y − 3x = 2

A) y=2
B) y=1/2
C) y = −3
D) y=1
E) y=−1

Answer 61

D)

Question 62

Find the equation of the line that goes through the point (−1, 3) and is parallel to the x-axis

A) y = −1
B) x = −1
C) x = 3
D) y = −3
E) y = 3

Answer 62

E)

Question 63

Solve

Answer 63

Question 64

Solve

Answer 64

Question 65

Solve

Answer 65

Question 66

Solve

Answer 66

Question 67

Solve

Answer 67

Question 68

Solve inequality

Answer 68