FINALEXAM REVIEW

Chapter 1

Define each of the following terms:

  • Whole number
  • Addends
  • Sum
  • Difference
  • Subtrahend
/
  • Minuend
  • Product
  • Factors
  • Quotient
  • Dividend
/
  • Divisor
  • Prime number
  • Composite number
  • Prime factorization

Perform the indicated operations.

1)Write “One million, three hundred two thousand fourteen” in standard form.

2)Write 703,024,006 in words.

3)Round 74,965 to the nearest ten-thousand.

4)Write 506,873 in expanded form.

5)List the first ten prime numbers.

Insert the correct symbol <, >, or = to make a true statement.

6) / 7)
8)19,398 + 1754 / 9)378 – 45 / 10)Find the sum of 3952, 68, and 152.
11)What is 402 less than 1376? / 12)Find 168 less 99. / 13)Find the product of 9394 and 205.
14)94 7 / 15)What is 63709 multiplied by 36? / 16)Find the quotient of 4028 and 4.
17)What is the difference between 775 and 367 / 18)632016 209 / 19)What is 341781 divided by 43? Round the quotient to the nearestten.

20)You had a balance of $1109 in your checking account. You deposited a check of $568 into your account. You then wrote checks in the amounts of $315 for rent, $112 for insurance, and $87 for utilities? What is your new checking account balance?

21)Clara, a sales assistant, earns $480 for working a 40-hour week. Last week Clara worked an additional 13 hours at $24 an hour. Find Clara’s total pay for last week’s work?

22)A Ford Ranger with a sticker price of $14,824 can be bought for a down payment of $2960 and 8 equal monthly payments. Find the amount of each monthly payment.

Use the order of operations agreement to simplify.

23) / 24) / 25)

26)Write all the factors of 36.

Find the prime factorization of each of the following:

27)240 / 28)990 / 29)101 / 30)325

Chapter 2

Define each of the following terms:

  • fraction
/
  • numerator
/
  • denominator

  • fraction bar
/
  • least common multiple (LCM)
/
  • greatest common factor (GCF)

  • proper fraction
/
  • improper fraction
/
  • mixed number

  • equivalent fractions
/
  • simplified form of a fraction
/
  • reciprocal of a fraction

Find the least common multiple.

1)60 and 18 / 2)15, 9, and 16 / 3)90, 168, and 420

Find the greatest common factor.

4)90 and 252 / 5)3, 17, 29 / 6)3, 54 and 51

7)Write as an improper fraction.

a) / b) / c)

8)Express the shaded portion of the circles as an improper fraction.

9)Graph on the number line.

10)Write as a mixed number or a whole number.

a) / b) / c)

11)Write the equivalent fractions with the given denominator.

a) / b)

Write in simplest form.

12) / 13) / 14)

Place the correct symbol < or > between the two numbers.

15) / 16) / 17)

Perform the indicated operation(s). Use order of operations when necessary.

18) Find the sum of and. / 19)
20) What is decreased by? / 21)
22) / 23)
24) What is increased by? / 25)
26)Find the quotient of and. / 27)
28) / 29)

30)An electrician earns $240 for each day worked. What is the total of the electrician’s earning for working days?

31) Aaron had pounds of potting soil and used pounds of it. How much potting soil did Aaron had left?

32)John Smith bought acres of land for a housing project. One and three-fourths acres were set aside for a park, and the remaining land was developed into -acre lots. How many lots were available for sale?

Chapter 3

Define each of the following terms:

  • whole number part
/
  • decimal point
/
  • decimal part

Write each of the following decimals in words.

1)203.089 / 2)0.8047 / 3)18.00267

4)Name the place value of the digit 8 in the number 405.007183.

Write each of the following number in standard form.

5)Nineteen and five hundred six ten-thousandths.

6)Six thousand seventy two hundred thousandths.

Write each of the following decimal as a fraction

7) / 8) / 9)

Write each of the following fractions as a decimal.

10) / 11) / 12) Round to the nearest
thousandth / 13)

14)Round to the given place value

a) 5.338 tenths / b) 85.2697 thousandths / b) 47.3125 whole number

15)Write the correct symbol, >, <, or = between the two numbers.

a) 0.42___0.0437 / b) ___ / c) ___
d) ___ / e) / f)

Perform the indicated operation(s).

16)Find the sum of 12.93, 10 and 4.41 / 17)
18) / 19)Find the product of 3.018 and 2.9.
20) / 21)
22) Round the quotient to the nearest ten-thousandth. / 23) Round the quotient to the nearest thousandth.
24)Find the quotient of. Round the quotient to the nearest whole number. / 25)Find the product of 0.03, 23, and 9.45

26)Veronica has 3 packages to mail. The packages weigh 2.06 pounds, 2 pounds, and 2.81 pounds. What is the total weight of Veronica’s packages?

27)The Lees family used 48 therms of gas. If the first 15 therms cost $1.08 per therm and the remainder cost $1.27 per therm, what is the total gas bill for the Lees family?

28)A case of coke cost $7.79. If there are 24 cans in a case, find the cost per can. Round to the nearest cent. (That is, round to the nearest hundredth.)

29)Thrifty Rental charges $79.99 per day plus 49 cents per mile to rent a truck. If you rent a truck for 3 days and travel 257 miles, what is the total rental cost?

Chapter 4

Define each of the following terms:

  • ratio
  • rates
/
  • unit rate
  • proportion

Write the comparison as a ratio in simplest form using a fraction, a colon (:) and the word to.

1)A history class consists of 15 males and 13 females.

2)The male to female ratio in China is 40 to 8.

3)The ratio of cars to people in Australia is 325 to 100.

4)In Jonas’ hometown, the ratio of cars to people is 400 to 1000.

Write each phrase as a rate in lowest terms.

5)110 calories for 90 crackers. / 6)$26 for 2 pairs of Bill Blass Shorts. / 7)245 gallons in 70 hours.

Write as a unit rate.

8) 10 feet in 4 seconds. / 9) 1100 trees planted on 10 acres
10) 388.8 kilometers in 8 hours / 11) $246.60 in 12.5 hours. Round to the nearest cent.

12) Tina reads 14 pages every day. At that rate how many pages will she read in 2 weeks?

Determine whether the proportion is true or not.

13) / 14)
15) / 16)

Solve the proportions.

17) / 18)
19) / 20) Round to the nearest tenth.

21) Three pairs of pants cost $144.75. How many pairs can be bought with $1544?

22)A student traveled 231 miles 12 gallons of gas. What was the miles-per-gallon rate? (Round the answer to the nearest whole number.)

23)Joe completed 26 miles in 2.1 hours. To the nearest thousandths of a mile, what was his rate of travel?

24)Which size of Fruit Chews Candy has the lowest price?

26 oz for $1.99 or 11 oz for $0.99?

Chapter 5

Define each of the following terms:

  • percent
/
  • percent sign
/
  • basic percent equation
/
  • amount
/
  • base

Write each percent as a decimal.

1)6 % / 2)1.3 % / 3)73 % / 4)55 %

Write each percent as a fraction in simplest form.

5)20 % / 6)1 % / 7)66 % / 8)25 %

Write as a percent.

9) / 10) / 11) / 12) / 13)

Solve the following using percent equation.

14)What is / 15)What is / 16)What is 50 % of 12?
17)What is 63 % of 59? / 18)What is / 19)What percent of 1900 is 95?
20)Whatpercent of 16 is 8? / 21)Whatpercent of 8 is 40? / 22)Whatpercent of 1800 is 90?

23)Michaels’s softball team won 55 % of the 67 games it played. How many games did he win?

24)Vanessa made 15 of 20 throws at basketball practice. What percent did he make?

25)A paint store gives a discount to 5 of every 10 customers. What percent of

customers receive a discount?

26)24 is what number? / 27)320 is 40 % of what number?
28)42.5 is 150% of what number? Round to the nearest hundredth. / 29)What percent of 35 is 120? Round to the nearest tenth of a percent.

30)Margaret correctly answered 60 questions on an English test. She received a score of 75 %. How many questions were on the test?

Solve percent problems using proportions.

31)What is 70 % of 80? / 32)What is 20 % of 40?
33)What is 25 % of 108? / 34)160% of what is 40?
35)6.2 % of 600 is what number? / 36)What percent of 150 is 33?

37)Mario bought a pair of shoes priced at $20.00. If the sales tax rate in Mario’s state is 8%, what is the total price of the shoes?

38)A store buys blouses for $15.00 each and marks them up by 60% for retail sale. What is the retail price of each of the blouses?

ANSWERS

Chapter 1

1)1,302,014 / 2)Seven hundred three million, twenty-four thousand, six. / 3)70,000
4)506,873 = 500,000 + 6000 + 800 + 70 + 3 / 5)2, 3, 5, 7, 11, 13, 17, 19, 23, 29 / 6)
7) / 8)21152 / 9)333
10)4172 / 11)974 / 12)69
13)1925770 / 14)658 / 15)2293524
16)1007 / 17)408 / 18)3024
19)7950 / 20)$1163 / 21)$792
22)$1483 / 23)9 / 24)4
25)22 / 26)1, 2, 3, 4, 6, 9, 12, 18, 36 / 27)
28) / 29)prime / 30)

Chapter 2

1)180 / 2)720 / 3)2520 / 4)18 / 5)1
6)3 / 7)a); b) ; c) / 8)

9)

0 1 2 3

10)a) ; b) ; c) 13 / 11)a) 1; b) 8 / 12) / 13) / 14)
15) / 16) / 17) / 18)2 / 19)
20) / 21) / 22) / 23) / 24)
25) / 26)68 / 27) / 28) / 29)
30)$912 / 31) / 32)11 lots

Chapter 3

1)Two hundred three and eighty-nine thousandths.

2)Eight thousand forty-seven ten-thousandths.

3)Eighteen and two hundred sixty-seven hundred thousandths.

4)Hundred-thousandths / 5)19.0506 / 6)0.06072 / 7)
8) / 9) / 10)0.019 / 11)
12)0.583 / 13)4.875 / 14)a) 5.3; b)85.270; c)47 / 15)a) > b)
c) < d) >
e) > f) =
16)27.34 / 17)314.801 / 18)0.012954 / 19)8.7522
20)136.491 / 21)680 / 22)0.068 / 23)0.009
24)6 / 25)6.5205 / 26)6.87 / 27)$58.11
28)$0.32 and 32 cents / 29)$365.90

Chapter 4

1)15:13; 15 to 13 / 2); 5:1; 5 to 1 / 3); 13:4; 13 to 4 / 4); 2:5; 2 to 5
5) / 6) / 7) / 8)2.5 feet/second
9)110 tree/acre / 10)48.6 km/h / 11)$19.73/h / 12)196 pages in 2 weeks
13)Not true / 14)True / 15)True / 16)Not true
17) / 18) / 19) / 20)
21)32 pairs / 22)19 miles/gallon / 23)12.381 miles/hour / 24)26 oz for $1.99

Chapter 5

1)0.06 / 2)0.013 / 3)0.73 / 4)0.55 / 5)
6) / 7) / 8) / 9)50% / 10)37.5%
11)70% / 12) 60% / 13) 20% / 14) 44 / 15) 15.15
16)6 / 17) 37.17 / 18) 2 / 19) 5% / 20)
50%
21) 500% / 22)5% / 23)36.85 / 24)75% / 25)
50%
26)36 / 27)800 / 28)28.33 / 29)342.9% / 30)
80
31) 56 / 32)8 / 33)27 / 34)37.2 / 35)
22%
36)25 / 37)$21.60 / 38)$24.00