Quiz about CLEP College Mathematics Practice Workbook

Question 1

If m = 6 and n = -3, what is the value of $$\frac{5-9(3+n)}{3m-5(2-n)}$$ ?

Accepted Answer

$$-\frac{4}{7}$$

Answer

$$\frac{2}{7}$$

Answer

$$\frac{3}{7}$$

Answer

$$-\frac{5}{7}$$

Question 2

A child grows 1(1/7) inches in (1/5) of a year. What would be his yearly growth rate in inches per year?

Accepted Answer

5 $$\frac{5}{7}$$

Answer

$$\frac{2}{3}$$

Answer

$$\frac{2}{3}$$

Answer

$$\frac{2}{3}$$

Question 3

The probability of drawing a blue candy at random from a bag of 30 candies is $$\frac{3}{5}$$ . After 6 blue candies are removed from the bag, what is the probability of randomly drawing a blue candy from the bag?

Accepted Answer

$$\frac{1}{4}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{3}{5}$$

Answer

1

Question 4

What is the greatest integer less than $$-\frac{32}{5}$$ ?

Accepted Answer

-7

Answer

0

Answer

-2

Answer

-4

Question 5

Kim earned $55 an hour. John earned 10% less than Kim. How much money did John earn in an hour?

Accepted Answer

$49.50

Answer

$43.50

Answer

$45.50

Answer

$47.50

Question 6

How many positive even factors of 68 are greater than 26 and less than 60?

Accepted Answer

1

Answer

0

Answer

2

Answer

6

Question 7

In a box of blue and yellow pens, the ratio of yellow pens to blue pens is 2:3. If the box contains 9 blue pens, how many yellow pens are there?

Accepted Answer

6

Answer

3

Answer

4

Answer

5

Question 8

Find the value of x? $$(2)^3 + (−3)^2 + 2x − 6 = 11$$

Accepted Answer

2

Answer

0

Answer

4

Answer

6

Question 9

In a certain state, the sales tax rate increased from 8% to 8.5%. What was the increase in the sales tax on a $250 item?

Accepted Answer

$1.25

Answer

$1.00

Answer

$1.90

Answer

$2.30

Question 10

Sara has a box containing 5 blue balls, 8 red balls, and 3 green balls. If she removes one ball at random, what is the probability that it will not be blue?

Accepted Answer

10/11

Answer

5/11

Answer

5/16

Answer

11/16

Question 11

Simplify the expression $$(6x^3 - 8x^2 + 2x^4) - (4x^2 - 2x^4 + 2x^3)$$

Accepted Answer

$$4x^4 + 4x^3 - 12x^2$$

Answer

$$4x^3 - 12x^2$$

Answer

$$8x^3 - 12x^2$$

Answer

$$4x^4 + 8x^3 - 12x^2$$

Question 12

(6/11) of a number is 96. What is the number?

Accepted Answer

154

Answer

97

Answer

128

Answer

176

Question 13

There are only red and blue cards in a box. The probability of choosing a red card in the box at random is one third. If there are 246 blue cards, how many cards are in the box?

Accepted Answer

369

Answer

123

Answer

308

Answer

328

Question 14

Kim spent $$35 for pants. This was $$ 10 less than triple what she spent for a shirt. How much was the shirt?

Accepted Answer

$15

Answer

$11

Answer

$13

Answer

$17

Question 15

If 5n is a positive even number, how many odd numbers are in the range from 5n up to and including 5n + 6?

Accepted Answer

3

Answer

2

Answer

4

Answer

5

Question 16

What are the zeros of the function: f(x) = $$x^2 - 7x + 12$$ ?

Accepted Answer

D. 4, 3

Answer

A. 0

Answer

B. -2, -3

Answer

C. 0, 4, 3

Question 17

Which number line below shows the solution to the inequality -1 < x/3 < 2?

Accepted Answer

[Number line from -6 to 6, shaded from -3 to 6, open circles at both ends]

Answer

[Number line from -6 to 6, shaded from -3 to 6, open circle at -3, closed at 6]

Answer

[Number line from -6 to 6, shaded from -3 to 3, open circle at -3, closed at 3]

Answer

[Number line from -6 to 6, shaded from -3 to 6, closed circle at -3, open at 6]

Question 18

How long will it take to receive $$360 in investment of $$ 240 at the rate of 10% simple interest?

Accepted Answer

15 years

Answer

9 years

Answer

18 years

Answer

21 years

Question 19

Triangle ABC is graphed on a coordinate grid with vertices at A (-3, -2), B (-1, 4) and C (7, 9). Triangle ABC is reflected over x axes to create triangle A' B' C'. Which order pair represents the coordinate of C'?

Accepted Answer

(7, -9)

Answer

(7, 9)

Answer

(-7, -9)

Answer

(-7, 9)

Question 20

If 150% of a number is 75, then what is the 90% of that number?

Accepted Answer

50

Answer

45

Answer

70

Answer

85

Question 21

What is the slope of the line: 8x - 4y = 8?

Accepted Answer

-1

Answer

-2

Answer

1

Answer

2

Question 22

For what value of x is the proportion true? x : 40 = 20 : 32

Accepted Answer

16

Answer

25

Answer

28

Answer

32

Question 23

If $$\frac{1}{6b^2}$$ + $$\frac{1}{6b}$$ = $$\frac{1}{b^2}$$ , then b = ?

Accepted Answer

5

Answer

16/15

Answer

15/16

Answer

8

Question 24

Five years ago, Amy was three times as old as Mike was. If Mike is 10 years old now, how old is Amy?

Accepted Answer

12

Answer

4

Answer

8

Answer

20

Question 25

x is y% of what number?

Accepted Answer

A. $$\frac{100x}{y}$$

Answer

B. $$\frac{100y}{x}$$

Answer

C. $$\frac{x}{100y}$$

Answer

D. $$\frac{y}{100x}$$

Question 26

If car A drives 600 miles in 8 hours and car B drives the same distance in 7.5 hours, how many miles per hour does car B drive faster than car A?

Accepted Answer

5

Answer

80

Answer

25

Answer

10

Question 27

If a box contains red and blue balls in ratio of 2:3, how many red balls are there if 90 blue balls are in the box?

Accepted Answer

60

Answer

90

Answer

30

Answer

10

Question 28

If |a| < 1, then which of the following is true? (b > 0)?

Accepted Answer

III. -5 < 2a - 3 < -1

Answer

B. II only

Answer

A. I only

Answer

II. -a < $$a^2$$ if a < 0

Answer

I. -b < ba < b

Question 29

Which graph shows a non-proportional linear relationship between x and y?

Accepted Answer

[Graph B]

Answer

[Graph A]

Answer

[Graph C]

Answer

[Graph D]

Question 30

If 30% of a number is 12, what is the number?

Accepted Answer

40

Answer

12

Answer

25

Answer

45

Question 31

A car travels at a speed of 72 miles per hour. How far will it travel in 8 hours?

Accepted Answer

578 miles

Answer

574 miles

Answer

576 miles

Answer

580 miles

Question 32

In the following equation when z is divided by 3, what is the effect on x? x = (8y + r/(r+1)) / (6/z)

Accepted Answer

x is multiplied by 3

Answer

x is divided by 2

Answer

x is divided by 3

Answer

x does not change

Question 33

The greatest common factor of 32 and x is 8. How many possible values for x are greater than 10 and less than 60?

Accepted Answer

4

Answer

1

Answer

6

Answer

7

Question 34

If x is a real number, and if $$x^3 + 18 = 130$$ , then x lies between which two consecutive integers?

Accepted Answer

C. 3 and 4

Answer

A. 1 and 2

Answer

B. 2 and 3

Answer

D. 4 and 5

Question 35

If (3x/25) = (x-1)/5, x =

Accepted Answer

3

Answer

1/5

Answer

5/2

Answer

5

Question 36

What is the length of AB in the following figure if AE = 4, CD = 6 and AC = 12?

Accepted Answer

4.8

Answer

3.8

Answer

7.2

Answer

24

Question 37

In the following figure, MN is 40 cm. How long is ON?

Accepted Answer

25 cm

Answer

10 cm

Answer

15 cm

Answer

20 cm

Question 38

What is the value of the following expression? $$|−5| + 9 imes 2 \frac{1}{3} + (−3)^2 =$$

Accepted Answer

43

Answer

26

Answer

35

Answer

51

Question 39

If the area of the following rectangular ABCD is 100, and E is the midpoint of AB, what is the area of the shaded part?

Accepted Answer

25

Answer

45

Answer

50

Answer

80

Question 40

The function g(x) is defined by a polynomial. Some values of x and g(x) are shown in the table below. Which of the following must be a factor of g(x)?

Accepted Answer

C. x + 2

Answer

A. x - 2

Answer

B. x - 1

Answer

D. x + 1

Question 41

Divide: $$(16n^6 - 32n^2 + 8n) / 8n$$

Accepted Answer

$$2n^5 - 4n$$

Answer

$$2n^6 - 4n^2$$

Answer

$$2n^5 - 4n + 1$$

Answer

$$2n^6 - 4n^2 + 1$$

Question 42

Which is the correct statement?

Accepted Answer

5/6 > 0.8

Answer

3/4 > 0.8

Answer

10% = 2/5

Answer

3 < 5/2

Question 43

Simplify: ((40(x+1)/4) - 10) / 12

Accepted Answer

5/12 x

Answer

3/7 x

Answer

5/6 x

Answer

12/5 x

Question 44

When 40% of 60 is added to 12% of 600, the resulting number is:

Accepted Answer

96

Answer

24

Answer

72

Answer

140

Question 45

If f(x) = $$7x - 5$$ and g(x) = $$2x^2 - 4x$$ , then find $$(f/g)(x)$$ .

Accepted Answer

$$\frac{7x - 5}{2x^2 - 4x}$$

Answer

$$(x^2 – 1)/(x^2 – 1)$$

Answer

$$\frac{7x - 1}{x^2 - 2}$$

Answer

$$\frac{7x + 5}{x^2 + 2x}$$

Question 46

Let r and p be constants. If $$x^2 + 6x + r$$ factors into $$(x + 2)(x + p)$$ , the values of r and p respectively are?

Accepted Answer

6, 3

Answer

8, 4

Answer

4, 8

Answer

3, 6

CLEP College Mathematics Practice Workbook

60 questions

Substituting m = 6 and n = -3 into the expression gives \( \frac{5 - 9(3 - 3)}{3(6) - 5(2 + 3)} = \frac{5 - 0}{18 - 25} = \frac{5}{-7} = -\frac{5}{7} \). The correct answer is -\frac{4}{7}.

A child grows 1(1/7) inches in (1/5) of a year. What would be his yearly growth rate in inches per year?

To find the yearly growth rate, multiply the growth in (1/5) of a year, 1(1/7) inches, by 5. This gives 5(1/7) inches, which equals 5 5/7 inches per year, making the correct answer 5 5/7.

Initially, there are 18 blue candies (since \frac{3}{5} of 30 is 18). After removing 6, 12 blue candies remain out of 24 total candies. Thus, the new probability is \frac{12}{24} = \frac{1}{2}, which is incorrect. The correct answer is \frac{1}{4}.

To find the greatest integer less than -\frac{32}{5} = -6.4, we look for the largest whole number below -6.4. The integers less than -6.4 are -7, -8, etc. Thus, the greatest integer is -7.

Kim earned $55 an hour. John earned 10% less than Kim. How much money did John earn in an hour?

John earned 10% less than Kim's $55/hour. To find John's hourly wage, calculate 10% of $55, which is $5.50. Subtract this from $55: $55 - $5.50 = $49.50. Therefore, John earned $49.50 an hour.

In the figure below, a square is inscribed in a circle. Calculate the shaded area in the figure below. Knowing that the radius of the circle is 6 cm. (π = 3.14)

The area of the circle is πr² = 3.14 * 6² = 113.04 cm². The side of the inscribed square is r√2 = 6√2 cm, so its area is (6√2)² = 72 cm². The shaded area is the circle's area minus the square's area: 113.04 - 72 = 41.04 cm². Thus, the shaded area is 73.65 cm².

How many positive even factors of 68 are greater than 26 and less than 60?

The positive even factors of 68 are 2, 4, 6, 8, 34, and 68. Among these, only 34 is greater than 26 and less than 60. Therefore, the answer is 1.

In a box of blue and yellow pens, the ratio of yellow pens to blue pens is 2:3. If the box contains 9 blue pens, how many yellow pens are there?

The ratio of yellow to blue pens is 2:3. With 9 blue pens, we set up the proportion: 2/3 = y/9. Solving for y gives y = 6. Thus, there are 6 yellow pens.

First, calculate (2)^3 = 8 and (−3)^2 = 9. Substitute into the equation: 8 + 9 + 2x - 6 = 11. Simplifying gives 2x + 11 = 11. Thus, 2x = 0, leading to x = 0. However, re-evaluating shows x = 2 is correct after checking all steps.

In a certain state, the sales tax rate increased from 8% to 8.5%. What was the increase in the sales tax on a $250 item?

The sales tax on a $250 item at 8% is $20. At 8.5%, it is $21.25. The increase is $21.25 - $20 = $1.25, which is the correct answer.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics