Midterm Exam.

Find attached a pdf document with the 19 questions of the exam. I need it ready before 10/22/2023

MAT-103 Midterm Exam – SUMMER 2023

Multiple Choice

1) Write the set in set-builder notation.

–8

–6

A [–4, 2)

–4

–2

0

2

B

4

8 x

6

D [–4, 2]

C

7

2) Find the additive and multiplicative inverse of 11 .

A

B

C

4

additive inverse: 11 ;

multiplicative inverse: 0

additive inverse: 11 ;

7

11

multiplicative inverse: 7

D

additive inverse: 7 ;

11

11

additive inverse: 7 ;

multiplicative inverse: 11

11

7

multiplicative inverse: 7

3) Identify the property demonstrated by the equation 6 + 12 = 18.

A Commutative Property B Closure Property C Distributive Property

by rationalizing the denominator.

4) Simplify

A

B

C

D

5) Simplify the expression

.

B

A

C

6) Simplify the expression

A 0 B –1 C 1 D 3

B

8) Simplify the expression

A 3.25

D

.

7) Simplify the expression

A

. Assume all variables are nonzero.

C

D

. Write the answer in scientific notation.

10–11 B 3.25 10–9 C 3.25 10–10 D 3.25 1011

1

D Associative Property

MAT-103 Midterm Exam – SUMMER 2023

9) The commercial jet that travels from Miami to New York averages about 300 mi/h. The air distance from

Miami to New York is 1092 miles. Write a function to represent the distance d remaining on the trip t

hours after takeoff.

B

A

C

D

10) Determine whether the data set could represent a linear function.

x

0

1

2

3

f(x)

–1

2

5

8

A The data set is constant.

function.

B Cannot be determined

C No, the data set does not represent a linear

D Yes, the data set could represent a linear function.

11) Graph the line with slope 1 that passes through (3, 3).

A

B

y

–15 –12 –9

–6

15

15

12

12

9

9

6

6

3

3

–3

–3

3

6

9

12

15

x

–3

–3

–6

–9

–12

–12

–15

–15

D

15

12

12

9

9

6

6

3

3

–3

–3

3

6

9

12

15

x

3

6

9

12

15

x

3

6

9

12

15

x

y

15

–6

2

–6

–9

y

–6

–15 –12 –9

–6

C

–15 –12 –9

y

–15 –12 –9

–6

–3

–3

–6

–9

–9

–12

–12

–15

–15

MAT-103 Midterm Exam – SUMMER 2023

12) Find the intercepts of

A

, and graph the line.

x-intercept: , y-intercept:

11

4

C

19

4

x-intercept: 4 , y-intercept: 4

11

y

–10 –8

B

–6

–4

y

10

10

8

8

6

6

4

4

2

2

–2

–2

2

4

6

8

10

x

–10 –8

–6

–4

–2

–2

–4

–4

–6

–6

–8

–8

–10

–10

D

19

x-intercept: –4, y-intercept: 4

2

4

6

8

10

x

8

10

x

x-intercept: –4, y-intercept: 4

y

y

10

10

8

8

6

6

4

4

2

2

–10 –8

–10 –8

–6

–4

–2

–2

–4

–6

–8

2

4

6

8

10

x

–6

–4

–2

–2

2

4

6

–4

–6

–8

–10

–10

3

1

MAT-103 Midterm Exam – SUMMER 2023

13)Write the function

in slope-intercept form. Then graph the function.

A

C

y

y

10

10

8

8

6

6

4

4

2

2

–10 –8

–6

–4

–2

–2

2

4

6

–10 –8

x

8

–6

–4

–2

–2

2

4

6

8

x

2

4

6

8

x

–4

–4

–6

–6

–8

–8

–10

–10

B

D

y

–10 –8

–6

–4

y

10

10

8

8

6

6

4

4

2

2

–2

–2

2

4

6

8

x

–10 –8

–6

–4

–2

–2

–4

–4

–6

–6

–8

–8

–10

–10

14) Determine if

is vertical or horizontal. Then graph.

A

C

The line is horizontal.

The line is horizontal.

y

–5

4

–4

–3

–2

y

5

5

4

4

3

3

2

2

1

1

–1

–1

1

2

3

4

5

x

–5

–4

–3

–2

–1

–1

–2

–2

–3

–3

–4

–4

–5

–5

1

2

3

4

5

x

MAT-103 Midterm Exam – SUMMER 2023

B

D

The line is vertical.

The line is vertical.

y

–5

–4

–3

–2

15) Solve

y

5

5

4

4

3

3

2

2

1

1

–1

–1

1

2

3

4

x

5

–5

–4

–3

–2

–1

–1

–2

–2

–3

–3

–4

–4

–5

–5

x

1

2

3

4

5

1

2

3

4

5

x

1

2

3

4

5

x

for y. Graph the solution.

A

C

y

–5

–4

–3

–2

y

5

5

4

4

3

3

2

2

1

1

–1

–1

1

2

3

4

5

x

–5

–4

–3

–2

–1

–1

–2

–2

–3

–3

–4

–4

–5

–5

B

D

y

–5

5

–4

–3

–2

y

5

5

4

4

3

3

2

2

1

1

–1

–1

1

2

3

4

5

x

–5

–4

–3

–2

–1

–1

–2

–2

–3

–3

–4

–4

–5

–5

MAT-103 Midterm Exam – SUMMER 2023

16) Let

be the transformation, vertical translation 5 units down, of

B

A

C

17) Solve the inequality

. Write the rule for

.

D

and graph the solution set.

A

C

–10 –8

–6

–4

–2

0

2

4

6

8

10

B

–10 –8

–6

–4

–2

0

2

4

6

8

10

–10 –8

–6

–4

–2

0

2

4

6

8

10

D

–10 –8

–6

–4

–2

0

2

4

6

8

10

18) Anchorage, Alaska and Augusta, Georgia have very different average temperatures. This is a table of the

average monthly temperature in each city. Make a scatter plot for the temperature data, identify the

correlation, and then sketch a line of best fit and find its equation.

Anchorage

Augusta

Jan

15

44

Feb

19

47

Average Temperatures (ºF)

Mar Apr May Jun Jul Aug

26

26

47

54

58

56

56

63

71

78

81

80

Sep

48

75

Oct

35

64

Dec

16

47

C Negative correlation

A Positive correlation

Augusta

Augusta

72

72

60

60

48

48

36

36

24

6

Nov

21

55

36

48

Anchor.

24

36

48

Anchor.

MAT-103 Midterm Exam – SUMMER 2023

B Positive correlation

Augusta

Augusta

72

72

60

60

48

48

36

36

24

19) Translate1111111

D Negative correlation

36

48

Anchor.

24

so that the vertex is at (–3, 2). Then graph.

A

C

y

–10 –8

–6

–4

y

10

10

8

8

6

6

4

4

2

2

–2

–2

2

4

6

8

x

–10 –8

–6

–4

–2

–2

–4

–4

–6

–6

–8

–8

–10

–10

B

2

4

6

8

x

2

4

6

8

x

D

y

–10 –8

7

–6

–4

y

10

10

8

8

6

6

4

4

2

2

–2

–2

2

4

6

8

x

–10 –8

–6

–4

–2

–2

–4

–4

–6

–6

–8

–8

–10

–10

36

48

Anchor.

MAT-103 Midterm Exam – SUMMER 2023

Multiple Choice

1) Write the set in set-builder notation.

–8

–6

A [–4, 2)

–4

–2

0

2

B

4

8 x

6

D [–4, 2]

C

7

2) Find the additive and multiplicative inverse of 11 .

A

B

C

4

additive inverse: 11 ;

multiplicative inverse: 0

additive inverse: 11 ;

7

11

multiplicative inverse: 7

D

additive inverse: 7 ;

11

11

additive inverse: 7 ;

multiplicative inverse: 11

11

7

multiplicative inverse: 7

3) Identify the property demonstrated by the equation 6 + 12 = 18.

A Commutative Property B Closure Property C Distributive Property

by rationalizing the denominator.

4) Simplify

A

B

C

D

5) Simplify the expression

.

B

A

C

6) Simplify the expression

A 0 B –1 C 1 D 3

B

8) Simplify the expression

A 3.25

D

.

7) Simplify the expression

A

. Assume all variables are nonzero.

C

D

. Write the answer in scientific notation.

10–11 B 3.25 10–9 C 3.25 10–10 D 3.25 1011

1

D Associative Property

MAT-103 Midterm Exam – SUMMER 2023

9) The commercial jet that travels from Miami to New York averages about 300 mi/h. The air distance from

Miami to New York is 1092 miles. Write a function to represent the distance d remaining on the trip t

hours after takeoff.

B

A

C

D

10) Determine whether the data set could represent a linear function.

x

0

1

2

3

f(x)

–1

2

5

8

A The data set is constant.

function.

B Cannot be determined

C No, the data set does not represent a linear

D Yes, the data set could represent a linear function.

11) Graph the line with slope 1 that passes through (3, 3).

A

B

y

–15 –12 –9

–6

15

15

12

12

9

9

6

6

3

3

–3

–3

3

6

9

12

15

x

–3

–3

–6

–9

–12

–12

–15

–15

D

15

12

12

9

9

6

6

3

3

–3

–3

3

6

9

12

15

x

3

6

9

12

15

x

3

6

9

12

15

x

y

15

–6

2

–6

–9

y

–6

–15 –12 –9

–6

C

–15 –12 –9

y

–15 –12 –9

–6

–3

–3

–6

–9

–9

–12

–12

–15

–15

MAT-103 Midterm Exam – SUMMER 2023

12) Find the intercepts of

A

, and graph the line.

x-intercept: , y-intercept:

11

4

C

19

4

x-intercept: 4 , y-intercept: 4

11

y

–10 –8

B

–6

–4

y

10

10

8

8

6

6

4

4

2

2

–2

–2

2

4

6

8

10

x

–10 –8

–6

–4

–2

–2

–4

–4

–6

–6

–8

–8

–10

–10

D

19

x-intercept: –4, y-intercept: 4

2

4

6

8

10

x

8

10

x

x-intercept: –4, y-intercept: 4

y

y

10

10

8

8

6

6

4

4

2

2

–10 –8

–10 –8

–6

–4

–2

–2

–4

–6

–8

2

4

6

8

10

x

–6

–4

–2

–2

2

4

6

–4

–6

–8

–10

–10

3

1

MAT-103 Midterm Exam – SUMMER 2023

13)Write the function

in slope-intercept form. Then graph the function.

A

C

y

y

10

10

8

8

6

6

4

4

2

2

–10 –8

–6

–4

–2

–2

2

4

6

–10 –8

x

8

–6

–4

–2

–2

2

4

6

8

x

2

4

6

8

x

–4

–4

–6

–6

–8

–8

–10

–10

B

D

y

–10 –8

–6

–4

y

10

10

8

8

6

6

4

4

2

2

–2

–2

2

4

6

8

x

–10 –8

–6

–4

–2

–2

–4

–4

–6

–6

–8

–8

–10

–10

14) Determine if

is vertical or horizontal. Then graph.

A

C

The line is horizontal.

The line is horizontal.

y

–5

4

–4

–3

–2

y

5

5

4

4

3

3

2

2

1

1

–1

–1

1

2

3

4

5

x

–5

–4

–3

–2

–1

–1

–2

–2

–3

–3

–4

–4

–5

–5

1

2

3

4

5

x

MAT-103 Midterm Exam – SUMMER 2023

B

D

The line is vertical.

The line is vertical.

y

–5

–4

–3

–2

15) Solve

y

5

5

4

4

3

3

2

2

1

1

–1

–1

1

2

3

4

x

5

–5

–4

–3

–2

–1

–1

–2

–2

–3

–3

–4

–4

–5

–5

x

1

2

3

4

5

1

2

3

4

5

x

1

2

3

4

5

x

for y. Graph the solution.

A

C

y

–5

–4

–3

–2

y

5

5

4

4

3

3

2

2

1

1

–1

–1

1

2

3

4

5

x

–5

–4

–3

–2

–1

–1

–2

–2

–3

–3

–4

–4

–5

–5

B

D

y

–5

5

–4

–3

–2

y

5

5

4

4

3

3

2

2

1

1

–1

–1

1

2

3

4

5

x

–5

–4

–3

–2

–1

–1

–2

–2

–3

–3

–4

–4

–5

–5

MAT-103 Midterm Exam – SUMMER 2023

16) Let

be the transformation, vertical translation 5 units down, of

B

A

C

17) Solve the inequality

. Write the rule for

.

D

and graph the solution set.

A

C

–10 –8

–6

–4

–2

0

2

4

6

8

10

B

–10 –8

–6

–4

–2

0

2

4

6

8

10

–10 –8

–6

–4

–2

0

2

4

6

8

10

D

–10 –8

–6

–4

–2

0

2

4

6

8

10

18) Anchorage, Alaska and Augusta, Georgia have very different average temperatures. This is a table of the

average monthly temperature in each city. Make a scatter plot for the temperature data, identify the

correlation, and then sketch a line of best fit and find its equation.

Anchorage

Augusta

Jan

15

44

Feb

19

47

Average Temperatures (ºF)

Mar Apr May Jun Jul Aug

26

26

47

54

58

56

56

63

71

78

81

80

Sep

48

75

Oct

35

64

Dec

16

47

C Negative correlation

A Positive correlation

Augusta

Augusta

72

72

60

60

48

48

36

36

24

6

Nov

21

55

36

48

Anchor.

24

36

48

Anchor.

MAT-103 Midterm Exam – SUMMER 2023

B Positive correlation

Augusta

Augusta

72

72

60

60

48

48

36

36

24

19) Translate1111111

D Negative correlation

36

48

Anchor.

24

so that the vertex is at (–3, 2). Then graph.

A

C

y

–10 –8

–6

–4

y

10

10

8

8

6

6

4

4

2

2

–2

–2

2

4

6

8

x

–10 –8

–6

–4

–2

–2

–4

–4

–6

–6

–8

–8

–10

–10

B

2

4

6

8

x

2

4

6

8

x

D

y

–10 –8

7

–6

–4

y

10

10

8

8

6

6

4

4

2

2

–2

–2

2

4

6

8

x

–10 –8

–6

–4

–2

–2

–4

–4

–6

–6

–8

–8

–10

–10

36

48

Anchor.