Math 0310 Practice Exam 1 Remember the actual exam is NOT multiple choice.

Math 0310 Practice Exam 1

Remember the actual exam is NOT multiple choice. Write the number as a product of primes.

1) 84

A) 2 · 3 · 7 B) 2 · 2 · 3 · 5 C) 2 · 2 · 3 · 7 D) 2 · 2 · 2 · 3 · 7

Write the fraction in lowest terms. 2) 18₃₀

A) 3₆ B) 18₃₀ C) 3₅ D) 6₅

Multiply or divide as indicated. Write the answer in lowest terms. 3) 20_{9 · 18}

A) 5₁₈ B) 41₁₈ C) 3₁₈ D) 146₇₂

4) 5₃ ÷20

A) 12 B) 33 1₃ C) 1₁₂ D) 1₄

Add or subtract as indicated. Write the answer in lowest terms. 5) 6_{9 - 48}

A) 1₃₆ B) 1₆ C) 2₉ D) 4₃

6) 5_{8 + 47}

A) 3₅ B) 67₅₆ C) 9₅₆ D) 17₁₄

Solve. Simplify the answer.

7) Erika spent 3₄ of an hour on her computer visiting the history channel and the discovery channel websites. She

spent 1₃ of an hour at the history channel website. How many hours did she spend at the discovery channel website?

Evaluate the expression when x = 2, y = 1, and z = 4. 8) y_3x A) 2₃ B) 1₆ C) y₆ D) 6 Simplify. 9) - 12 A) 12 B) 0 C) - 1₁₂ D) -12 Evaluate. 10) (0.3)2 A) 0.15 B) 0.09 C) 9 D) 0.6

Find the square root. Assume that all variables represent positive real numbers. 11) ₄₀₀49

A) 3₂₅ B) 1₃ C) 7₂₀ D) 2₅

Simplify the expression. 12) 7 · 7 - 5 A) 14 B) 44 C) 54 D) 245 13) 72 - 5 · 5 A) 24 B) 220 C) 70 D) 20 14) 16 + 18 - 4_{20 - 5} A) 45 B) 6₅ C) 38₁₅ D) 2

Write the phrase as an algebraic expression. Let x represent the unknown number. 15) The product of a number and 18

A) x₁₈ B) x - 18 C) 18x D) x + 18

16) Six more than a number

A) x - 6 B) x + 6 C) x₆ D) 6x

Add.

17) -24 + (-20)

18) 3 + (-14) A) -11 B) 11 C) -17 D) 17 Subtract. 19) 9 - 10 A) 1 B) -1 C) -19 D) 19 20) 9 - (-1) A) 10 B) -10 C) -8 D) 8 Solve.

21) Mariel the Magician died in the year 21 A.D. at the age of 70. In what year was she born?

A) 91 B.C. B) 91 A.D. C) 49 A.D. D) 49 B.C.

22) The temperature at 5:00 was -6° C. Four hours later, it was -10° C. What was the change in temperature?

A) 4° C B) 16° C C) -4° C D) -16° C Multiply. 23) 6(-7) A) -42 B) -48 C) -420 D) -142 24) -6(-9) A) -54 B) 64 C) 54 D) 108 Evaluate. 25) (-11)2 A) -121 B) -22 C) 22 D) 121 26) -14 A) -1 B) 1 C) 0 D) -4 Divide. 27) - 21₃ A) -8 B) 7 C) -6 D) -7 28) -56_-4 A) 14 B) 4 C) -14 D) 1₁₄ 29) -28₀ A) 1 B) 28 C) 0 D) undefined 30) 0

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. 31) 5(x - 7) A) 5x + 35 B) 5x - 7 C) 5x - 12 D) 5x - 35 32) -7(x - 6) A) x - 42 B) -7x + 42 C) -7x - 42 D) -7x + 6 33) 6(3x + 4 + y) A) 18x + 24 + 6y B) 18x + 24 + y C) 18x + 4 + 6y D) 18x + 4 + y

Simplify the following by combining like terms. 34) -8m3 + 5m3 A) -3m6 B) -9m C) -3m3 D) cannot be simplified 35) 6x8 + 8x4 + 2x8 A) 16x20 B) 8x8 + 8x4 C) 16x4 D) cannot be simplified

Simplify the expression. First use the distributive property to remove any parentheses. 36) -6(2x - 7) - 4x + 6

A) -16x - 36 B) 16x + 48 C) -16x + 48 D) 8x + 48

Tell whether the statement is true or false.

37) {x | x is a counting number greater than 31} = {31, 32, 33, . . . }

A) True B) False

38) 11 {22, 33, 44, 55, 66}

A) True B) False

39) {57, 58, 57, 58} = {57, 58}

A) True B) False

Insert " " or " " in the blank to make the statement true. 40) {11, 13, 15} {x | x is an odd counting number}

A) B)

41) {6, 8, 10} {5, 6, 7, 8, 10}

A) B)

42)

A) B)

Find the number of subsets of the set. 43) {0}

44) {mom, dad, son, daughter}

A) 12 B) 14 C) 16 D) 8

Let U = {q, r, s, t, u, v, w, x, y, z}; A = {q, s, u, w, y}; B = {q, s, y, z}; and C = {v, w, x, y, z}. List the members of the indicated set, using set braces.

45) A B' A) {r, s, t, u, v, w, x, z} B) {q, s, t, u, v, w, x, y} C) {t, v, x} D) {u, w} 46) A' B A) {q, s, t, u, v, w, x, y} B) {q, r, s, t, v, x, y, z} C) {s, u, w} D) {r, s, t, u, v, w, x, z}

The pie chart shows the percentage of votes received by each candidate in the student council presidential election. Use the pie chart to answer the question.

47)

Student Council President

Matt 20% Ted 34% Ann 14% Ben 32% 400 total votes Who got the fewest votes?

The bar graph shows the number of tickets sold each week by the garden club for their annual flower show.

48) During which week was the most number of tickets sold?

A) week 4 B) week 5 C) week 1 D) week 2

The following double-bar graph illustrates the revenue for a company for the four quarters of the year for two different years. Use the graph to answer the question.

49) In what quarter was the revenue the greatest for Year 2?

Provide an appropriate response.

50) The number of students enrolled in a physics class for the last ten semesters are listed below. Find the median number of students.

65 66 67 66 67 70 67 70 71 68

A) 70 students B) 67 students C) 68 students D) 66 students

51) The commuting times of ten employees (in minutes) are listed below. Find the mode score. 65 66 67 66 67 70 67 70 71 68

A) 66 minutes B) 65 minutes C) 68 minutes D) 67 minutes

52) The repair costs for five cars which were crashed by a safety testing organization were as follows: $100, $150, $200, $250, and $150. Find the mean cost of repair.

A) $160 B) $140 C) $170 D) $180

53) Which measure of central tendency may not exist for all numeric data sets?

A) Mode B) Midrange C) Mean D) Median

Write the sample space for the given experiment. 54) A day of the week is selected at random

A) {weekend, weekday} B) {1, 2, 3, 4, 5, 6, 7}

C) {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday} D) 7

Provide an appropriate response.

55) Which of the following cannot be the probability of an event?

A) 0.001 B) 0 C) -59 D) 7₃

56) If A, B, C, and D, are the only possible outcomes of an experiment, find the probability of D using the table below.

Outcome A B C D

Probability 1/7 1/7 1/7 .

A) 3/7 B) 1/7 C) 1/4 D) 4/7

57) Use the spinner below to answer the question. Assume that it is equally probable that the pointer will land on any one of the five numbered spaces. If the pointer lands on a borderline, spin again.

Find the probability that the arrow will land on an odd number.

A) 0 B) 2₅ C) 3₅ D) 1

Answer Key

Testname: MATH 0310 PRACTICE 1

1) C 2) C 3) A 4) C 5) B 6) B 7) B 8) B 9) D 10) B 11) C 12) B 13) A 14) D 15) C 16) B 17) A 18) A 19) B 20) A 21) D 22) C 23) A 24) C 25) D 26) A 27) D 28) A 29) D 30) B 31) D 32) B 33) A 34) C 35) B 36) C 37) B 38) B 39) A 40) B 41) A 42) B 43) D 44) C 45) D 46) B 47) B 48) A 49) B 50) B 51) D 52) C 53) A 54) C 55) C 56) D 57) C 58) B