# MTH 208 Final Exam

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MTH 208 Final Exam

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The material presented below is not meant to be a comprehensive list of all you need to know in the content area. Rather it is a starting point for building your knowledge and skills. Additional study materials are recommended in each area below to help you master the material.

1.

Calculate the sum of and .

1

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 1A

2.

Calculate the product of and .

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 1A

3.

Select the expression that represents the statement “14 more than a number”.

14n

14 – n

n + 14

n – 14

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 1C

4.

Determine the value of 2(x + 3) – 4 when x = 4.

6

14

7

10

Correct!

Need help with this exercise? Review the following reading assignment.

5.

Determine the value of x(9 – x) + 2 when x = –3.

–18

–16

–22

–34

Correct!

Need help with this exercise? Review the following reading assignment.

6.

Select the expression that represents the statement “7 times a number”.

n + 7

7n

n7

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 1C

7.

There are 12 inches in a foot. How many inches are in 8 feet?

4 inches

96 inches

20 inches

1.5 inches

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 1A

8.

In a given training week, a swimmer completes mile on day one, mile on day two, and mile on day three.

How many total miles does the athlete swim in the given week?

miles

miles

miles

miles

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 1A

9.

Select the simplified expression for 8(x – 8) – 2(x – 3) + 3x.

9x + 70

9x – 11

9x – 70

9x – 58

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 1C

10.

The temperature on one day in January for Phoenix, AZ, is 66 degrees Fahrenheit. On the same day in Barrow, AK, the temperature is -15 degrees Fahrenheit.

What is the difference between these two temperatures?

–51 degrees Fahrenheit

–15 degrees Fahrenheit

51 degrees Fahrenheit

81 degrees Fahrenheit

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 1B

11.

Solve.

4x + 9 = 8

x = –

x = –5

x =

x =

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 2B

12.

Select the expression that is equivalent to -3(x – 2).

-3x – 2

-3x + 2

-3x – 6

-3x + 6

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 2C

13.

A clothing store offers a 20% discount on all purchases. What is the discount in dollars (before tax) for an item originally costing \$25.00 dollars?

\$30.00

\$45.00

\$20.00

\$5.00

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 2A

14.

A taxi company charges \$2.40 for the first mile and \$1.20 per mile for each additional mile. How much would the bill be for a 15 mile trip?

\$19.20

\$20.40

\$34.80

\$54.00

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 2A

15.

A team needs to save up at least \$400 for new uniforms and currently has \$210. They decide to hold a fundraiser where they can earn \$7 in profits for each item sold. What inequality could be solved to determine the minimum number, n, of items to be sold?

210 + 7n 400

210 + 7n < 400

210 + 7n ≤ 400

210 + 7n ≥ 400

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 2A

16.

The temperature on a summer day is degrees Fahrenheit. The formula to covert temperature to degrees Celsius is C = 5/9(F-32). What is the corresponding temperature in degrees Celsius?

°C

°C

°C

°C

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 2C

17.

A family travels at an average rate of 41 miles per hour for a given road trip. How long will it take them to reach their destination 246 miles away?

4 hours

5 hours

6 hours

7 hours

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 2A

18.

Solve.

(10x – 7) = 3

x = 0.80

x = 8.50

x = –0.80

x = 2.20

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 2C

19.

Solve the inequality.

– x – 6 -5

x < 19.8

x 19.8

x < –1.8

x –1.8

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 2B

20.

Solve the inequality.

0.1(0.1x + 0.3) -0.5

x53

x53

x-53

x-53

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 2B

21.

Consider the following graph. What are the coordinates of point A?

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 3B

22.

Consider the following graph.

What is the slope of Line ?

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 3B

23.

Consider the following graph.

What is the y-intercept for Line ?

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 3B

24.

A line passes through the points and .

What is the slope of the line that passes through the two points?

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 3B

25.

A line passes through the points and .

What is the y-intercept of the line?

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 3B

26.

Which line is perpendicular to the line y = x + 11 ?

y = x – 11

y = – x + 11

y = x + 6

y = – x + 6

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 3C

27.

Which set of points are on the line y = 4x – 3?

{(0, -3), (21, 6)}

{(0, -3), (6, 21)}

{(-3, 0), (21, 6)}

{(-3, 0), (6, 21)}

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 3B

28.

Consider the following graph:

What is the domain of the function?

(0, 9)

[0, 9]

[0, 3]

(0, 3)

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 3C

29.

Consider the following graph:

What is the range of the function?

[0, 9]

(0, 9)

[0, 3]

(0, 3)

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 3C

30.

Consider the following graph:

What are the minimum and maximum x-values of the function?

minimum is 0, maximum is 9

minimum is 0, maximum is 3

minimum is 3, maximum is 9

There are no minimum or maximum x-values.

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 3C

31.

Consider the following system of equations.

y = 8x – 8

y – 8x = 5

What can you conclude about the system of equations?

The system of equations is inconsistent.

The system of equations is dependent.

The system of equations is independent.

none of these

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 4B

32.

Identify the solution(s) of the system of equations, if any.

-6x – 4y = 18

4y = -6x – 18

no solution

(0, -3)

(-3, 0)

infinitely many solutions

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 4B

33.

Identify the solution(s) of the system of equations, if any.

x + 5y = 3

5x – 5y = 3

(1, )

(1, )

(, 1)

(, 1)

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 4B

34.

Identify the solution(s) of the system of equations, if any.

6x + 6y = 24

y = 5 – 3x

(3.5, –0.5)

(3.5, 0.5)

(–0.5, 3.5)

(0.5, 3.5)

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 4B

35.

Identify the solution(s) of the system of equations, if any.

infinitely many solutions

no solution

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 4B

36.

Identify the solution(s) of the system of equations, if any.

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 4B

37.

Identify the solution(s) of the system of equations, if any.

no solutions

infinitely many solutions

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 4B

38.

Identify the solution(s) of the system of equations, if any.

9x + 2y = 8

8x – 2y = 8

(, – )

(0, 4)

(, – )

(16, –68)

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 4B

39.

Identify the solution(s) of the system of equations, if any.

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 4B

40.

A system of inequalities is defined by the following formulas.

Which graph represents its solution?

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 4C

41.

Simplify.

(8x)2

32x

128x

64×2

16×2

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 5A

42.

Simplify.

x8 x7 x3

x18

18x

x168

168x

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 5A

43.

Simplify.

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 5B

44.

Express 0.00096 in scientific notation.

9.60 104

9.60 10- 4

0.96 10- 3

0.96 103

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg A Daily Practice 5B

45.

Express 4700000 in scientific notation.

0.47 10- 7

0.47 107

4.70 10- 6

4.70 106

Correct!