Final Exam Prep (MATH 204)

Infinite

SECTION 1.1 Decide whether the following set is infinite or finite {points on a line segment that is 8 inches long}

Finite

SECTION 1.1 Decide whether the following set is infinite or finite {whole numbers between 1 and 2 trillion divisible by the number 479,293,008}

Yes

SECTION 1.1 Determine whether the set can be placed in one-to-one correspondence {1, 2, 3, 4, 5} and {m, n, o, c, s}

No

SECTION 1.1 Determine whether the set can be placed in one-to-one correspondence {c, s, 1, m} and {c, t, w}

No

SECTION 1.1 Determine whether the set can be placed in one-to-one correspondence {t|t is a letter in the word can} and {1, 2, 3, 4}

Thousands

SECTION 1.1 For each of the following base-ten numerals, give the place value of the underlined digit. 725,915 (five)

1943

SECTION 1.1 If the cornerstone represents when a building was built and it reads MCMXLIII, when was the building built?

6340

SECTION 1.1 Rewrite the following as a base-ten numeral. 6 * 10^3 + 3 * 10^2 + 4 * 10

8

SECTION 1.1 Use counting to determine the whole number that corresponds to the cardinality of the set. A = {x|x ᗴ N and 21 < x ≤ 29} n(A) = ?

0

SECTION 1.1 Use counting to determine the whole number that corresponds to the cardinality of the set. B = {x|x ᗴ N and x - 4 = x} n(B) = ?

2

SECTION 1.1 Use counting to determine the whole number that corresponds to the cardinality of the set. C = {x|x ᗴ N and (x - 6)(x - 2) = 0} n(C) = ?

2

SECTION 1.1 Use counting to determine the whole number that corresponds to the cardinality of the set. D = {x|x ᗴ N, 1 ≤ x ≤ 100 and x is divisible by both 5 and 8} n(D) = ?

(7 * 10^3) + (1 * 10^2) + (9 * 10) + 7

SECTION 1.1 Write 7197 in expanded form

No

SECTION 1.1 Determine whether the set can be placed in one-to-one correspondence {a, b, c, ..., f} and {5, 10, 15, ..., 25}

0.64

SECTION 1.2 If the decimals 0.6397, 0.64, and 0.604 are arranged on a typical horizontal number line, which is furthest to the right?

25.613 > 25.61293 > 25.6129 > 25.61282

SECTION 1.2 Order the decimals from greatest to least: 25.6129, 25.61293, 25.613, 25.61282

5000.061

SECTION 1.2 Write the following phrase as a numeral: five thousand and sixty-one thousandths

5060.001

SECTION 1.2 Write the following phrase as a numeral: five thousand sixty and one thousandths

5.061

SECTION 1.2 Write the following phrase as a numeral: five thousand sixty-one thousandths

0.00003

SECTION 1.2 Write the following phrase as a numeral: three hundred-thousandths

> (Greater than)

SECTION 1.3 What is the correct inequality symbol for the phrase -5 ___ -24?

> (Greater than)

SECTION 1.3 What is the correct inequality symbol for the phrase 421 ___ 412?

< (Less than)

SECTION 1.3 What is the correct inequality symbol for the phrase 8 ___ 16?

26,000

SECTION 1.4 John Havlicek scored a total of 26,395 points over his NBA career. Round this number to the nearest thousand.

295,600

SECTION 1.4 Round 295,563 to the nearest hundred

4

SECTION 2.1 A vending machine accepts nickels, dimes, and quarters. Exact change is needed to make a purchase. How many ways can a person with four nickels, three dimes, and two quarters make a 30-cent purchase from the machine?

B

SECTION 2.1 Explain why in a drawer containing only two different colors of socks one must draw only three socks to find a matching pair. (a) Regardless of the number of different colors of socks in the drawer, one must only draw one more sock than the desired number of matching socks in order to get a matching set. Therefore, in order to get two matching socks, one must draw only three from the drawer. (b) If there are only two colors of socks in the drawer, then of any 3 chosen, two must be the same color. (c) If there are only two colors of socks in the drawer, then of any two chosen, both must be the same color. (d) It is not the case that one must draw only three socks to find a matching pair.

Fraction

SECTION 2.2 A(n) _______ is a number that can be used to describe a portion of a whole.

Improper

SECTION 2.2 Identify the fraction 5/2 as proper or improper

Not equal

SECTION 2.3 Determine if the following pairs are equal by changing both to the same denominator. 13/23 and 28/35

2/1, 4/2, 6/3

SECTION 2.3 Give three equivalent fractions for the following rational number: 8/4

1/3

SECTION 2.3 Reduce 3/9 to the lowest terms

21/60 and 22/60

SECTION 2.3 Rewrite the fractions using the least common denominator. 7/20 and 11/30

1

SECTION 2.3 Simplify 37/37

16

SECTION 2.3 Write the fraction as an equivalent fraction with the given denominator: 4/5 = ?/20

< (Less than)

SECTION 2.4 Compare 1/9 and 0.12 by changing the fraction to a decimal 1/9 ? 0.12

Not equal

SECTION 2.4 Determine if the following pairs are equal by changing both to the same denominator. 18/19 and 27/34

Theresa

SECTION 2.4 Theresa and Latrell both ran for 5 minutes. Theresa ran 4/5 mile. Latrell ran 2/9 mile. Who ran farther?

> (Greater than)

SECTION 2.4 What is the symbol that makes the statement true? -6/14 ? -6/13

> (Greater than)

SECTION 2.4 What is the symbol that makes the statement true? 2/3 ? 4/7

7/8

SECTION 2.5 Find the fractional notation for 87.5%

10%

SECTION 2.5 Write the fraction 1/10 as a percent

113

SECTION 3.1 Add 15 + 98

17

SECTION 3.1 Subtract 91-74

Comparison

SECTION 3.1 Which subtraction model - take-away, missing addend, comparison, or measurement - corresponds best to each problem below: Chris solved 15 problems and Todd solved 14 problems. How many more problems has Chris solved than Todd?

Take-away

SECTION 3.1 Which subtraction model - take-away, missing addend, comparison, or measurement - corresponds best to each problem below: Jerry has a book of 12 pizza coupons. If he used 2 coupons to buy pizza for Friday's party, how many coupons does he have left?

Measurement

SECTION 3.1 Which subtraction model - take-away, missing addend, comparison, or measurement - corresponds best to each problem below: On Maggie's 12-mile hike to a lake, she came to a sign that said she had 5 miles left to reach the lake. How far has Maggie walked so far?

Missing addend

SECTION 3.1 Which subtraction model - take-away, missing addend, comparison, or measurement - corresponds best to each problem below: Steve has saved $40 toward the $60 CD plater he wants to buy. How much money does he have to add to his savings to purchase the player?

y + 3 = 15

SECTION 3.1 Write the related addition sentence for 15 - y = 3

185 + 165

SECTION 3.2 Use the Commutative Property of Addition to write an expression equivalent to 165 + 185

4 + x

SECTION 3.2 Use the commutative property to rewrite x + 4

z + (9 + 7)

SECTION 3.2 Write an expression that is equivalent to (z + 9) +7 by the Associative Property of Addition.

1.332

SECTION 3.3 Add 0.082 + 1.25

629.945

SECTION 3.3 Add 37.145 + 592.8

315,009

SECTION 3.3 Add 73,279 + 241,730

12,405

SECTION 3.3 Find the sum of 3820 + 7262 + 1323

-1.168

SECTION 3.3 Subtract 0.082 - 1.25

39

SECTION 3.3 Subtract 1944 - 1905 and check to see that your answer is correct by adding

555.655

SECTION 3.3 Subtract 592.8 - 37.145

346

SECTION 3.3 Subtract 744 - 398 and check to see that your answer is correct by adding.

9/10

SECTION 3.4 Add and simplify 1/5 + 7/10

3/2

SECTION 3.4 Add and simplify 3/4 + 3/4

37/10

SECTION 3.4 Change the mixed number 3 & 7/10 to an improper fraction

27/4

SECTION 3.4 Change the mixed number 6 & 3/4 to an improper fraction

3/10

SECTION 3.4 Subtract 1/2 - 1/5

6/19

SECTION 3.4 Subtract 14/19 - 8/19

Nine and sixteen thousandths

SECTION 3.4 Write a word name for the decimal 9.016

2991/5000

SECTION 3.4 Write the decimal 0.5982 as a fraction or mixed number. Write the answer in simplest form.

5/8

SECTION 3.4 Write the decimal 0.625 as a fraction or mixed number. Write the answer in simplest form.

-5

SECTION 3.5 Add -9 + 4

0

SECTION 3.5 Add the integers 45 + (-45)

5

SECTION 3.5 Subtract 2 - (-3)

-7 + 4

SECTION 3.5 Write the subtraction problem -7 - (-4) as an addition problem

8 outcomes

SECTION 4.1 A bakery sells multi-grain, oat, wheat and white bread. Each type of bread is available as a round loaf or as dinner rolls. Use a table to show the sample space for the type and style of bread. Then find the number of possible outcomes.

500

SECTION 4.1 For every hundred miles that you fly, the airline company gives you 50 points. If you made a trip of 1,000 miles, then how many points did you earn?

6,000

SECTION 4.1 The height of the tower is 7 times the height of the building next to it. If the tower is 42,000 ft tall, then what is the height of the building?

$295.70

SECTION 4.2 Brian sells 10 shares of stock. The price of the stock at the time of sale is $29.57. Multiply the number of shares Brian sells by the price of the stock at the time of the sale to find out how much money he receives from the sale.

226

SECTION 4.2 Multiply 2.26 x 100 by moving the decimal point the appropriate number of places to the right.

781.3

SECTION 4.2 Multiply 7.813 x 100 by moving the decimal point the appropriate number of places to the right.

791,000

SECTION 4.2 Multiply 791 x 1000

3936

SECTION 4.2 One meter is about 39.36 inches. How many inches are in 100 meters?

D, 735, 1323

SECTION 4.3 A salon is open 3 days per week. The salon has 49 clients per day. Use the Associative Property of Multiplication to write two equivalent expressions for the number of clients that visit the salon in w weeks. How many clients visit the salon in 5 weeks? In 9 weeks? (a) 49 * (3 * w) and (49 * w) * 3 (b) 49 * (3 * w) and (3 * w) * 49 (c) 49 * (3 * w) and 49 * 3 * w (d) 49 * (3 * w) and (49 * 3) * w SEPARATE EACH ANSWER WITH A COMMA

21(xy)

SECTION 4.3 Use the associative law of multiplication to write an equivalent expression to (21x)y.

(x + 6)9

SECTION 4.3 Use the commutative property of multiplication to write an equivalent algebraic expression to 9(x+6).

A & C

SECTION 4.3 Which of these expressions are equivalent to 15 * 12 * 10 by the Commutative Property of Multiplication? What is the value of each of these equivalent expressions? (a) 12 * 15 * 10 (b) 180 * 10 (c) 15 * 10 * 12 (d) 12 * 150 SELECT ALL THAT APPLY

B, C & D

SECTION 4.3 Which of these rectangles has an area of 132 square feet? (a) A rectangle with length 33 feet and with 33 feet (b) A rectangle with length 12 feet and width 11 feet (c) A rectangle with length 66 feet and width 2 feet (d) A rectangle with length 1 foot and width 132 feet SELECT ALL THAT APPLY

33 * 5 , $165

SECTION 4.3 Yesterday, 5 friends planned their camping trip. They spent $33 per person to buy food for the trip. Write two equivalent expressions that show the total amount of money they spent on food. Then evaluate one of the expressions to find the total amount spent.

47

SECTION 4.4 Evaluate the value of 5 + 6 * 7

4 , 3

SECTION 4.4 Find the missing numbers in 3(4 + 7) = (3 * ?) + (? * 7) using the Distributive Property of Multiplication over Addition.

C

SECTION 4.4 One side of a rectangle has length 4. Another side has length 7 +6. What expression represents the area of the rectangle? (a) 4 * 7 (b) 4 * 7 * 6 (c) 4 * 7 + 4 * 6 (d) 4 * 6

D , 42

SECTION 4.4 You worked on a school project every day for 6 days. Each day, you worked for 3 hours in the morning and 4 hours in the afternoon. Which expression correctly represents the total number of hours you worked on the project? How many hours did you work on the project over the 6 days? (a) 3 + 4 * 6 (b) (6 * 3) + 4 (c) (6 + 3) * 4 (d) 6 * (3 + 4) (e) 3 * 4 + 6 SEPARATE THE ANSWERS WITH A COMMA

$216

SECTION 4.5 As a dog walker, each week you charge $24 per dog. Show how you could use mental math to find the one-week charge for 9 dogs.

4200

SECTION 4.5 Use compatible numbers to compute 2 * 7 * 50 * 6 mentally.

(6 * 5) + (6 * 3) = 48

SECTION 4.5 Use the Distributive Property to rewrite 6 * 8. Then use that to find 6 * 8.

C

SECTION 4.5 Which of these expressions has the same value at 8 * 65 (a) 8 * 60 + 5 (b) 8 + 60 * 5 (c) 8 * 60 + 8 * 5 (d) 8 + 60 * 8 + 5

2,030

SECTION 4.6 Multiply 5(406)

18,288

SECTION 4.6 Multiply 508 * 36

212

SECTION 4.6 Multiply 53 * 4

3,624

SECTION 4.6 Multiply 6 * 604

40,014

SECTION 4.6 Multiply 702 * 57