Name: _________________________________ Date: _______________

College Prep Math Review: MidTerm Exam

Review of Chapter 1:

1. Which number is smaller: 5.09 or 5.1?

2. Round 4.018 to the nearest hundredth.

3. Round 48.3284 to the nearest tenth.

4. Round $4.834 to the nearest cent.

5. !

6. !

7. !

37 + 158 + 764 + 48

$61,532 − $47,245

$13,207(702)

Chapter 1

8. !

9. !

10. !

11. !

12. !

$25,600 ÷ 12

32 + 53

46 × 103

3 ∙ 62 − 4 ÷ 2

53 − (3 + 2) × 9

13. If a man has a bill for $165 and his paycheck is $475,

a. Estimate how much of his paycheck is left after paying the bill by rounding to tens.

b. Find the exact amount left.

14. A corporations buys 45 DVD players for $335 each.

a. Use numbers with one nonzero digit to estimate the total cost.

b. Find the exact cost.

15. A softball coach paid @126 for 9 pizzas for a party after a successful season.

a. Estimate the cost of each pizza using numbers with one nonzero digit.

b. Find the exact cost per pizza.

16. A mathematics professor promises to give 2 extra points for each set of exercises a student completes. If one student completes 17 sets of exercises, how many points should be given?

17. Find the product: !

18. Divide: !

19. Round the answer to the nearest tenth: !

20. Divide !

21. Find the average of these test scores: 82, 95, 76, 84, 72, and 91. Round to the nearest whole number.

42.73 × 1,000

27.75 ÷ 25

83.41 ÷ 7.2

52.38 ÷ 10,000

22. Estimate the sum by rounding to the nearest whole number: !

23. Estimate the difference by rounding each number to the nearest tenth: !

24. The blueprint specification for a machined part calls for its thickness to be 1.485 in. with a tolerance of ! in. Find the limit dimensions of the part.

25. Heating oil costs $1.75 per gallon. What is the cost of 10,000 gal?

26. A construction job requires 16 pieces of steel, each 7.96 ft long. What length of steel is needed?

3.85 + 7.46

0.87 − 0.328

±0.010

Find the perimeter and the area of each figure.

27.

28.

29.

Formative: Exam #1Professor BarnettAlgebra Part 1: with Geometry

Name___________________________________

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

1) Write two inequalities for the following pair of numbers: 73 and 75 1)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

2) Compare 2011 and 2010.A) 2011 = 2010 B) 2011 > 2010C) 2011 < 2010 D) insufficient information

2)

3) Write 51,000

in decimal form.

A) 0.05 B) 0.005 C) 5000 D) 0.0005

3)

4) Write 2.5 as a fraction with a power-of-ten denominator.

A) 2510

B) 2.510

C) 25100

D) 251,000

4)

5) Arrange the numbers 0.21, 0.205, 0.219 in order from smaller to larger.A) 0.219, 0.21, 0.205 B) 0.205, 0.21, 0.219C) 0.21, 0.205, 0.219 D) 0.205, 0.219, 0.21

5)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

6) Which number is larger, 3.78 or 3.9? 6)

7) Round the following number to the nearest thousand: 5,385 7)

8) Round 43.895 to the nearest tenth. 8)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

9) Round 24.65 to the nearest ten.A) 30 B) 20 C) 25 D) 24.7

9)

10) The Internal Revenue Service allows you to round values to the nearest dollaron your income tax return. If you entered a deduction of $247.53 rounded to thenearest dollar, what would you enter?A) $250 B) $247.50 C) $248 D) $247

10)

1

Chapter 2

11) Add: 42,387 + 2,954 + 2,768 + 9,735A) 57,854B) 57,954C) 57,944D) 57,844E) none of the above

11)

12) If you receive a paycheck for $375 and pay out $265 in bills, what do you haveleft?A) $101 B) $120 C) $110 D) $325

12)

13) Subtract: 8 - 3.76A) 4.24B) 5.76C) 3.08D) 3.68E) none of the above

13)

14) Subtract: 53.65- 8.54

A) 62.19 B) 45.11 C) .4511 D) 55.11

14)

15) Paula bought a bag of taffy. She chose 8 pieces of cinnamon, 17 pieces of licorice,50 pieces of creme, 32 pieces of chocolate and 26 pieces of peanut butter. Howmany pieces of taffy did she buy?A) 88 pieces B) 113 pieces C) 133 pieces D) 205 pieces

15)

16) A secretary had four copy jobs to do for the office. She had exactly one ream (500sheets per ream) of paper. She rounded to the nearest ten and decided she wouldbe able to finish all four jobs. If the first job needs 122 sheets, the second job uses247, the third job uses 55, and the fourth job needs 80 sheets, did she finish themall?A) yes; estimation is 490 B) yes; estimation is 504C) no; estimation is 510 D) no; estimation is 520

16)

17) Jill deposited $240 into a new checking account. She wrote checks of $23.67,$57.24, and $68.34. How much is now in her account?A) $389.25 B) $149.25 C) $90.75 D) $100.75

17)

2

18) Multiply: 403 × 27A) 1161B) 10,881C) 1181D) 10,161E) none of the above

18)

19) Divide: 3,374 ÷ 7A) 482B) 402C) 481D) 401E) none of the above

19)

20) A contractor has a weekly payroll of $5,625 for 25 employees. What is theaverage salary of each employee?A) $225B) $205C) $20,089D) $140,625E) none of the above

20)

21) Find the quotient. 243 829.512A) 3.41362963 B) 3,413.62963C) 3,413 R62963 D) 3.413 R62963

21)

22) Use your calculator. Find the quotient and round the answer to the nearestwhole number. 6.4 643.448A) 100.53875 B) 101 C) 100 D) 100.5

22)

23) Sara drove 532 miles and used exactly 14 gallons of gas. How many miles didshe average on one gallon of gas?A) 37 miles B) 38 miles C) 25 miles D) 26 miles

23)

24) Square the number 25.A) 5 B) 625 C) 15,625 D) 50

24)

25) Perform the operation 169 =A) 43 B) 13 C) 84.5 D) 28,561

25)

26) Use a calculator to evaluate 324.A) 162 B) 62 C) undefined D) 18

26)

3

27) Perform the indicated operations: 43 - (4 + 6) × 25 =A) 270 B) 38C) 14 D) none of the above

27)

28) Evaluate 3(2.52 - 3) - 2.56 - (9 - 8)2 following the order of operations using acalculator.A) 2.65 B) 5.4 C) -40.85 D) 7.15

28)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

29) Find the perimeter of a square that measures 5 cm on a side. Use theformula P = 4s.

29)

30) Find the area of a parallelogram that has a base of 30 inches and a heightof 15 inches. Use the formula P = bh.

30)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

31) Find the perimeter of the given shape:

A) 48.8 B) 56.8 C) 47.5 D) 45.5

31)

32) A drapery company needs 412 yards of material to complete an order. Theyhave 210 yards in stock. How many more yards do they need to order to finishthe order and have 50 yards left over?

A) 572 yards B) 202 yards C) 462 yards D) 252 yards

32)

33) 6, 9, and 18 are all multiples of which number?A) 3 B) 6 C) 2 D) 972

33)

34) Which of the following numbers is a composite number?A) 47 B) 53 C) 61 D) 34

34)

4

35) 15 is not a prime number becauseA) it has 1 as a factor.B) 15 is not divisible by any number except 1 and itself.C) its factor pairs are 1 × 15, 3 × 5.D) its factor pairs are 3 × 5.

35)

36) Find the prime factorization of 72.A) 1 ∙ 2 ∙ 2 ∙ 2 ∙ 3 ∙ 3 B) 2 ∙ 2 ∙ 2 ∙ 3 ∙ 3C) 8 ∙ 9 D) 2 ∙ 3 ∙ 3 ∙ 4

36)

37) Which number is neither prime nor composite?A) 1 B) 3 C) 4 D) 2

37)

38) Which is the least common multiple of 4 and 12?A) 12 B) 48 C) 2 D) 4

38)

39) Add: 3 12

+ 45

A) 3 12

B) 3 58

C) 4 710

D) 4 310

E) none of the above

39)

40) Add 2 78

+ 1 14

and reduce answers to lowest terms with improper fractions

changed to whole or mixed numbers.

A) 3 23

B) 4 18

C) 3 18

D) 5 18

40)

5

41) Subtract: 9 38

- 3 712

A) 5 712

B) 5 2324

C) 6 512

D) 5 1924

E) none of the above

41)

42) Subtract: 512

- 730

A) 730

B) 760

C) 1130

D) 1160

E) none of the above

42)

43) Subtract and reduce when necessary: 12 932

- 3 1532

A) 8 1316

B) 9 1316

C) 9 -316

D) 9 316

43)

44) Subtract and reduce when necessary: 31 78

- 20 1516

A) 11 116

B) 10 1516

C) 1112

D) 10 78

44)

6

45) Multiply: 59

× 310

× 34

A) 34

B) 18

C) 58

D) 1112

E) none of the above

45)

46) Perform the indicated operation, leaving the answer in lowest terms: 2 57

× 4 23

=

A) 8 13

B) 7 821

C) 8 1021

D) 12 23

46)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

47) Raise to the indicated power: 23

247)

48) Raise to the indicated power: 2 15

248)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

49) Divide: 87

÷ 106

A) 1524

B) 2435

C) 56

D) 512

E) none of the above

49)

7

50) Perform the indicated operation, leaving the answer in lowest terms: 5 23

1 19

=

A) 1051

B) 5 227

C) 5 110

D) 56

50)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

51) Perform the indicated operations and reduce:

4 916

- 3 18

2 14

+ 1 316

= 51)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

52) Use a calculator to perform the calculations:

3 34

+ 1 12

5 - 45

A) 1 14

B) 1 184

C) 3 45

D) none of the above

52)

53) 2 56

= ? (percent)

A) 2.83 13%

B) 320.3%C) 3.203%

D) 283 13%

E) none of the above

53)

8

Name: __________________________________ Date: ________________________

College Prep Mathematics Review for Chapter 5

1.

2.

3.

4.

5.

Chapter 5

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

21.

22.

23.

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Chapter 7