Title: Chapter 1 Variables, Functions and Graphs
Course: quiz duplicate error

Q: Write an algebraic expression for the phrase.

the product of q and 8
- [Image]
- q – 8
- q + 8
- 8q
A: 8q

Q: Write an algebraic expression for the phrase.

the product of x and 10
- x – 10
- x + 10
- [Image]
- 10x
A: 10x

Q: Define a variable and write an expression for the phrase.

the quotient of 6 times a number and 16
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Write an algebraic expression for the phrase.

the sum of x and 4
- x – 4
- x + 4
- [Image]
- 4x
A: x + 4

Q: Write an algebraic expression for the phrase.

the product of c and 8
- [Image]
- 8c
- c + 8
- c – 8
A: 8c

Q: Write an algebraic expression for the phrase.

the product of g and 4
- 4g
- g + 4
- [Image]
- g – 4
A: 4g

Q: Write an algebraic expression for the phrase.

the sum of b and 11
- b – 11
- [Image]
- b + 11
- 11b
A: b + 11

Q: Write an algebraic expression for the phrase.

7 times the sum of y and f
- 7 + y + f
- 7yf
- 7y + f
- 7(y + f)
A: 7(y + f)

Q: Write an algebraic expression for the phrase.

the product of g and 3
- 3g
- g + 3
- g – 3
- [Image]
A: 3g

Q: Write an algebraic expression for the phrase.

the sum of m and 10
- 10m
- m + 10
- [Image]
- m – 10
A: m + 10

Q: Write an algebraic expression for the phrase.

2 times the sum of m and b
- 2m + b
- 2mb
- 2(m + b)
- 2 + m + b
A: 2(m + b)

Q: Write an algebraic expression for the phrase.

the sum of a and 6
- 6a
- [Image]
- a + 6
- a – 6
A: a + 6

Q: Write an algebraic expression for the phrase.

4 times the sum of q and p
- 4q + p
- 4 + q + p
- 4qp
- 4(q + p)
A: 4(q + p)

Q: Evaluate the expression [Image] for a = 8 and b = 4.
- 1024
- 128
- 64
- 256
A: 1024

Q: A pair of shoes costs $32.99 and the state sales tax is 4%. Use the formula C = p + rp to find the total cost of the shoes, where C is the total cost, p is the price, and r is the sales tax rate.
- $36.99
- $41.59
- $46.19
- $34.31
A: $34.31

Q: An equilateral triangle has three sides of equal length. What is the equation for the perimeter of an equilateral triangle if P = perimeter and s = length of a side?
- s = 3P
- P = 3s
- P = 3 + s
- P = 3(s + s + s)
A: P = 3s

Q: What equation models the data in the table if d = number of days and c = cost?

Days | Cost
2 | 44
3 | 66
5 | 110
6 | 132
- d = 22c
- c = 22d
- c = d + 22d
- c = d + 22
A: c = 22d

Q: Evaluate the expression [Image] for a = 4 and b = 3.
- 36
- 24
- 81
- 144
A: 144

Q: Define a variable and write an expression for the phrase.

the quotient of 10 times a number and 16
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Evaluate u + xy, for u = 12, x = 8, and y = 6.
- 102
- 60
- 26
- 120
A: 60

Q: You can use the formula [Image] to convert temperature in degrees Fahrenheit, F, to temperature in degrees Celsius, C. What is 62°F in degrees Celsius? Round your answer to the nearest tenth.
- 30°C
- 16.7°C
- 52.2°C
- 2.4°C
A: 16.7°C

Q: Evaluate u + xy, for u = 10, x = 2, and y = 6.
- 18
- 26
- 22
- 72
A: 22

Q: Evaluate the expression [Image] for a = 10 and b = 4.
- 80
- 256
- 1600
- 160
A: 1600

Q: Define a variable and write an expression for the phrase.

7 minus a number
- 7n
- [Image]
- [Image]
- 7 – n
A: 7 – n

Q: Define a variable and write an expression for the phrase.

the quotient of 7 times a number and 10
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: The total cost to rent a row boat is $12 times the number of hours the boat is used. Write an equation to model this situation if c = total cost and h = number of hours.
- c – 12 = h
- [Image]
- h = 12c
- c = 12h
A: c = 12h

Q: Define a variable and write an expression for the phrase.

–8 minus a number
- –8n
- [Image]
- –8 – n
- [Image]
A: –8 – n

Q: A pair of shoes costs $52.99 and the state sales tax is 8%. Use the formula C = p + rp to find the total cost of the shoes, where C is the total cost, p is the price, and r is the sales tax rate.
- $95.38
- $60.99
- $57.23
- $78.19
A: $57.23

Q: What equation models the data in the table if d = number of days and c = cost?

Days | Cost
2 | 36
3 | 54
5 | 90
6 | 108
- c = d + 18d
- d = 18c
- c = 18d
- c = d + 18
A: c = 18d

Q: The total cost to rent a row boat is $18 times the number of hours the boat is used. Write an equation to model this situation if c = total cost and h = number of hours.
- c = 18h
- c – 18 = h
- h = 18c
- [Image]
A: c = 18h

Q: Define a variable and write an expression for the phrase.

4 minus a number
- 4 – n
- 4n
- [Image]
- [Image]
A: 4 – n

Q: Define a variable and write an expression for the phrase.

3 minus a number
- [Image]
- [Image]
- 3 – n
- 3n
A: 3 – n

Q: Evaluate u + xy, for u = 18, x = 10, and y = 8.
- 188
- 36
- 98
- 224
A: 98

Q: Define a variable and write an expression for the phrase.

–2 minus a number
- –2n
- [Image]
- –2 – n
- [Image]
A: –2 – n

Q: What equation models the data in the table if d = number of days and c = cost?

Days | Cost
2 | 56
3 | 84
5 | 140
6 | 168
- d = 28c
- c = d + 28d
- c = d + 28
- c = 28d
A: c = 28d

Q: The total cost to rent a row boat is $14 times the number of hours the boat is used. Write an equation to model this situation if c = total cost and h = number of hours.
- [Image]
- c – 14 = h
- h = 14c
- c = 14h
A: c = 14h

Q: You can use the formula [Image] to convert temperature in degrees Fahrenheit, F, to temperature in degrees Celsius, C. What is 83°F in degrees Celsius? Round your answer to the nearest tenth.
- 51°C
- 63.9°C
- 28.3°C
- 14.1°C
A: 28.3°C

Q: A pair of shoes costs $34.99 and the state sales tax is 4%. Use the formula C = p + rp to find the total cost of the shoes, where C is the total cost, p is the price, and r is the sales tax rate.
- $38.99
- $48.99
- $43.99
- $36.39
A: $36.39

Q: When simplifying an expression, you ____ perform operations inside grouping symbols first.
- always
- sometimes
- never
A: always

Q: What equation models the data in the table if d = number of days and c = cost?

Days | Cost
2 | 4
3 | 6
5 | 10
6 | 12
- d = 2c
- c = 2d
- c = d + 2d
- c = d + 2
A: c = 2d

Q: Define a variable and write an expression for the phrase.

the quotient of 8 times a number and 13
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Write [Image], [Image], [Image] in order from least to greatest.
- [Image], [Image], [Image]
- [Image], [Image], [Image]
- [Image], [Image], [Image]
- [Image], [Image], [Image]
A: [Image], [Image], [Image]

Q: A rational number is ____ a real number.
- always
- sometimes
- never
A: always

Q: Simplify the expression.

[Image]
- 585
- 169
- 26
- 181
A: 169

Q: Write the number 1.4 in the form [Image], using integers, to show that it is a rational number.
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Simplify the expression.

[Image]
- 67
- 63
- 54
- 34
A: 54

Q: The opposite of a negative number is ____ negative.
- always
- sometimes
- never
A: never

Q: [Image]
- 2.8
- –2.8
A: 2.8

Q: Write the number 2.4 in the form [Image], using integers, to show that it is a rational number.
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Order the numbers from least to greatest.
[Image], [Image], [Image]
- [Image], [Image], [Image]
- [Image], [Image], [Image]
- [Image], [Image], [Image]
- [Image], [Image], [Image]
A: [Image], [Image], [Image]

Q: Simplify the expression.

[Image]
- 29
- 80
- 128
- 92
A: 128

Q: Evaluate the formula [Image] for B = 33 in.^2 and h = 23 in.
- 253 in.^3
- 759 in.^3
- 84.3 in.^3
- 25.3 in.^3
A: 253 in.^3

Q: Name the set(s) of numbers to which 1.68 belongs.
- rational numbers
- natural numbers, whole numbers, integers, rational numbers
- rational numbers, irrational numbers
- none of the above
A: rational numbers

Q: Name the set(s) of numbers to which 1.86 belongs.
- rational numbers
- natural numbers, whole numbers, integers, rational numbers
- rational numbers, irrational numbers
- none of the above
A: rational numbers

Q: Name the set(s) of numbers to which 1.45 belongs.
- rational numbers
- natural numbers, whole numbers, integers, rational numbers
- rational numbers, irrational numbers
- none of the above
A: rational numbers

Q: Simplify the expression.

[Image]
- 108
- 36
- 18
- 9
A: 108

Q: Simplify the expression.

[Image]
- 50
- 200
- 20
- 40
A: 200

Q: Name the set(s) of numbers to which 0.03 belongs.
- rational numbers
- natural numbers, whole numbers, integers, rational numbers
- rational numbers, irrational numbers
- none of the above
A: rational numbers

Q: Which set of numbers is the most reasonable to describe the number of desks in a classroom?
- whole numbers
- irrational numbers
- rational numbers
- integers
A: whole numbers

Q: Evaluate the formula [Image] for B = 48 in.^2 and h = 35 in.
- 560 in.^3
- 1680 in.^3
- 56 in.^3
- 186.7 in.^3
A: 560 in.^3

Q: Evaluate the formula [Image] for B = 9 in.^2 and h = 32 in.
- 288 in.^3
- 9.6 in.^3
- 32 in.^3
- 96 in.^3
A: 96 in.^3

Q: Simplify the expression.

[Image]
- 297
- 868
- 437
- 867
A: 867

Q: Simplify the expression.

[Image]
- 28
- 54
- 7
- 41
A: 54

Q: Name the set(s) of numbers to which –5 belongs.
- whole numbers, natural numbers, integers
- rational numbers
- whole numbers, integers, rational numbers
- integers, rational numbers
A: integers, rational numbers

Q: Simplify the expression.

[Image]
- 18
- 3
- 6
- 9
A: 18

Q: You can use the formula [Image] to convert temperature in degrees Fahrenheit, F, to temperature in degrees Celsius, C. What is 77°F in degrees Celsius? Round your answer to the nearest tenth.
- 10.8°C
- 45°C
- 60.6°C
- 25°C
A: 25°C

Q: Name the set(s) of numbers to which 2.18 belongs.
- rational numbers
- natural numbers, whole numbers, integers, rational numbers
- rational numbers, irrational numbers
- none of the above
A: rational numbers

Q: Write the number 3.8 in the form [Image], using integers, to show that it is a rational number.
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Over the first five years of owning her car, Gina drove about 12,700 miles the first year, 15,478 miles the second year, 12,675 the third year, 11,850 the fourth year, and 13,075 the fifth year.
a. Find the mean, median, and mode of this data.
b. Explain which measure of central tendency will best predict how many miles Gina will drive in the sixth year.
- mean = 12,700; median = 13,156; no mode; the mean is the best choice because it is representative of the entire data set.
- mean = 13,156; median = 12,700; mode = 3,628; the median is the best choice because it is not skewed by the high outlier.
- mean = 13,156; median = 12,700; no mode; the mean is the best choice because it is representative of the entire data set.
- mean = 13,156; median = 12,700; no mode; the median is the best choice because it is not skewed by the high outlier.
A: mean = 13,156; median = 12,700; no mode; the median is the best choice because it is not skewed by the high outlier.

Q: Make a stem-and-leaf plot for the following set of data.
1.1, 1.5, 1.6, 2.5, 2.5, 2.8, 3.7, 3.8
- [Image] 1 ½ 0.1 = 1.01
- [Image] 1 ½ 1 = 1.1
- [Image] 1 ½ 6 = 1.6
- [Image] 1 ½ 1 = 1.1
A: [Image] 1 ½ 1 = 1.1

Q: Find the mean and range.
19 [Image]17 [Image]39 [Image]11 [Image]25 [Image]13 [Image]31 [Image]15
- mean = 20.05; range = 29
- mean = 21.25; range = 27
- mean = 21.25; range = 28
- mean = 21.95; range = 28
A: mean = 21.25; range = 28

Q: Write a function rule for each table.

Hour Worked | Pay
2 | $15.00
4 | $30.00
6 | $45.00
8 | $60.00
- p = 7.50h
- p = 15h
- p = h + 15
- h = 7.50p
A: p = 7.50h

Q: [Image]
- –6.2
- 6.2
A: 6.2

Q: Angela’s average for six math tests is 87. On her first four tests she had scores of 93, 87, 82, and 86. On her last test, she scored 4 points lower than she did on her fifth test. What scores did Angela receive on her fifth and sixth tests?
- fifth test = 85; sixth test = 89
- fifth test = 85; sixth test = 81
- fifth test = 90; sixth test = 86
- fifth test = 89; sixth test = 85
A: fifth test = 89; sixth test = 85

Q: Which of the scatter plots shows a positive correlation?
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Angela’s average for six math tests is 84. On her first four tests she had scores of 82, 79, 92, and 86. On her last test, she scored 11 points lower than she did on her fifth test. What scores did Angela receive on her fifth and sixth tests?
- fifth test = 77; sixth test = 66
- fifth test = 77; sixth test = 88
- fifth test = 88; sixth test = 77
- fifth test = 89; sixth test = 78
A: fifth test = 88; sixth test = 77

Q: Write and solve an equation to find the value of the variable.

A carpenter cut four lengths of wood. The lengths were [Image] in., [Image] in., [Image] in., and z in. If the mean of the lengths is [Image] in., what was the length of the fourth piece of wood the carpenter cut?
- [Image] in.
- [Image] in.
- [Image] in.
- [Image] in.
A: [Image] in.

Q: Write and solve an equation to find the value of the variable.

1.1, 5.2, 8.9, 5.1, 5.6, y; mean = 4.6
- 2.3
- 0.2
- 2.2
- 1.7
A: 1.7

Q: Find the range.

4.7   6.3   5.4   3.2   4.9
- –9.5
- 9.5
- –3.1
- 3.1
A: 3.1

Q: Determine whether the following statement is sometimes, always, or never true.
If two sets of data have the same range and the same mean then they have the same mode.
- sometimes
- always
- never
A: sometimes

Q: Write a function rule for each table.

Hour Worked | Pay
2 | $11.50
4 | $23.00
6 | $34.50
8 | $46.00
- p = 5.75h
- p = 11.5h
- p = h + 11.5
- h = 5.75p
A: p = 5.75h

Q: Find the mean and range.
40 [Image]16 [Image]17 [Image]22 [Image]21 [Image]31 [Image]38 [Image]35
- mean = 27.5; range = 24
- mean = 29.4; range = 24
- mean = 24.7; range = 21
- mean = 27.5; range = 22
A: mean = 27.5; range = 24

Q: [Image]
- –0.9
- 0.9
A: 0.9

Q: Your math teacher allows you to choose the most favorable measure of central tendency of your test scores to determine your grade for the term. On six tests you earn scores of 86, 91, 90, 74, 91, and 87. What is your grade to the nearest whole number, and which measure of central tendency should you choose?
- 88; the mode
- 89; the median
- 91; the mean
- 91; the mode
A: 91; the mode

Q: Your math teacher allows you to choose the most favorable measure of central tendency of your test scores to determine your grade for the term. On six tests you earn scores of 91, 74, 84, 83, 87, and 79. What is your grade to the nearest whole number, and which measure of central tendency should you choose?
- 85; the median
- 84; the mode
- 84; the median
- 83; the mean
A: 84; the median

Q: Write and solve an equation to find the value of the variable.

5.2, 8.3, 8.5, 7.7, 7.8, y; mean = 7.1
- 5.8
- 3.9
- 5.1
- 5.3
A: 5.1

Q: Make a stem-and-leaf plot for the following set of data.
1.1, 1.3, 1.8, 2.2, 2.6, 2.8, 3.1, 3.8
- [Image] 1 ½ 1 = 1.1
- [Image] 1 ½ 1 = 1.1
- [Image] 1 ½ 0.1 = 1.01
- [Image] 1 ½ 8 = 1.8
A: [Image] 1 ½ 1 = 1.1

Q: Find the mean and range.
32 [Image]19 [Image]24 [Image]10 [Image]35 [Image]26 [Image]27 [Image]25
- mean = 24.75; range = 26
- mean = 26.15; range = 25
- mean = 24.75; range = 25
- mean = 22.65; range = 22
A: mean = 24.75; range = 25

Q: Your math teacher allows you to choose the most favorable measure of central tendency of your test scores to determine your grade for the term. On six tests you earn scores of 89, 81, 85, 82, 89, and 89. What is your grade to the nearest whole number, and which measure of central tendency should you choose?
- 87; the median
- 89; the mean
- 91; the mode
- 89; the mode
A: 89; the mode

Q: Write and solve an equation to find the value of the variable.

7.6, 8.9, 3.8, 3.7, 2.9, y; mean = 5.5
- 4.7
- 6.1
- 6.7
- 6.6
A: 6.1

Q: Make a stem-and-leaf plot for the following set of data.
1.3, 1.7, 1.8, 2.3, 2.3, 2.3, 3.3, 3.3
- [Image] 1 ½ 8 = 1.8
- [Image] 1 ½ 3 = 1.3
- [Image] 1 ½ 3 = 1.3
- [Image] 1 ½ 0.3 = 1.03
A: [Image] 1 ½ 3 = 1.3

Q: Find the range.

3   –9   7   –1   5   –4   2
- 8
- –1
- 16
- 2
A: 16

Q: Angela’s average for six math tests is 86. On her first four tests she had scores of 81, 77, 86, and 93. On her last test, she scored 11 points lower than she did on her fifth test. What scores did Angela receive on her fifth and sixth tests?
- fifth test = 84; sixth test = 73
- fifth test = 84; sixth test = 95
- fifth test = 96; sixth test = 85
- fifth test = 95; sixth test = 84
A: fifth test = 95; sixth test = 84

Q: Find the mean and range.
18 [Image]23 [Image]10 [Image]39 [Image]22 [Image]17 [Image]16 [Image]15
- mean = 20; range = 29
- mean = 20; range = 32
- mean = 21.9; range = 29
- mean = 18.1; range = 28
A: mean = 20; range = 29

Q: Write and solve an equation to find the value of the variable.

104, 137, 154, 131, x; mean = 130
- 124
- 125
- 127
- 122
A: 124

Q: Write a function rule for each table.

Hour Worked | Pay
2 | $14.00
4 | $28.00
6 | $42.00
8 | $56.00
- p = 7.00h
- p = 14h
- p = h + 14
- h = 7.00p
A: p = 7.00h

Q: [Image]
- –6.4
- 6.4
A: 6.4

Q: Make a stem-and-leaf plot for the following set of data.
1.4, 1.6, 1.7, 2.3, 2.3, 2.3, 3.3, 3.6
- [Image] 1 ½ 0.4 = 1.04
- [Image] 1 ½ 7 = 1.7
- [Image] 1 ½ 4 = 1.4
- [Image] 1 ½ 4 = 1.4
A: [Image] 1 ½ 4 = 1.4

Q: Write and solve an equation to find the value of the variable.

101, 92, 95, 124, x; mean = 108
- 125
- 131
- 130
- 128
A: 128

Q: Over the first five years of owning her car, Gina drove about 12,700 miles the first year, 16,012 miles the second year, 12,000 the third year, 11,700 the fourth year, and 13,500 the fifth year.
a. Find the mean, median, and mode of this data.
b. Explain which measure of central tendency will best predict how many miles Gina will drive in the sixth year.
- mean = 13,182; median = 12,700; no mode; the mean is the best choice because it is representative of the entire data set.
- mean = 13,182; median = 12,700; mode = 4,312; the median is the best choice because it is not skewed by the high outlier.
- mean = 12,700; median = 13,182; no mode; the mean is the best choice because it is representative of the entire data set.
- mean = 13,182; median = 12,700; no mode; the median is the best choice because it is not skewed by the high outlier.
A: mean = 13,182; median = 12,700; no mode; the median is the best choice because it is not skewed by the high outlier.

Q: Write a function rule for each table.

Hour Worked | Pay
2 | $10.50
4 | $21.00
6 | $31.50
8 | $42.00
- p = 5.25h
- p = 10.5h
- p = h + 10.5
- h = 5.25p
A: p = 5.25h

Q: Write and solve an equation to find the value of the variable.

110, 102, 150, 127, x; mean = 123
- 128
- 126
- 129
- 124
A: 126

Q: The french club is holding a car wash fundraiser. They are going to charge $10 per car, and expect between 50 and 75 cars. Identify the independent and dependent quantity in the situation, and find reasonable domain and range values.
- number of cars; money raised; 50 to 75 cars; $500 to $750
- money raised; number of cars; $500 to $750; 50 to 75 cars
- number of cars; money raised; $500 to $750; 50 to 75 cars
- money raised; number of cars; 50 to 75 cars; $500 to $750
A: number of cars; money raised; 50 to 75 cars; $500 to $750

Explain why this statement is always true.

If x is an odd integer, then the median of x, x + 2, x + 6, and x + 10 is an odd number.

Is the statement below true or false? If the statement is false, give a counterexample.
All real numbers are rational.

The population of an endangered animal species has been increasing. Make a scatter plot using the data given in the table.

Year | Population
1 | 230
2 | 670
3 | 620
4 | 840
5 | 1400
6 | 1580

[Image]

Q: Write a function rule for each table.

Days | Cost to Rent a Truck
1 | 34
2 | 54
3 | 74
4 | 94
- c = 20d + 14
- c = 14d + 20
- c = 20d + 20
- c = 20d
A: c = 20d + 14

Bob and Nancy recorded their last ten rounds of golf scores in the stem-and-leaf plot below. Use measures of central tendency to justify your answers.
a. Who is the better golfer? (A player with a lower score beats a player with a higher score.)
b. Is one golfer more consistent than the other? Explain.

Nancy | Stem | Bob
9  8  7 | 7 | 5  9
8  6  5  5  2 | 8 | 3  3  3  8  9
1  0 | 9 | 0  3  7

7 ½5 = 75

Q: The cost of playing pool increases with the amount of time using the table. Identify the independent and dependent quantity in the situation.
- time at table; cost
- cost; time at table
- number of games; cost
- cost; number of players
A: time at table; cost

a. Write an equation to show how the amount of money in a jar of nickels is related to the number of nickels in the jar.
b. If the jar contains 28 nickels, how much money is this?

a. Write an equation to show how the amount of money in a jar of nickels is related to the number of nickels in the jar.
b. If the jar contains 40 nickels, how much money is this?

Is the following statement true or false for all values of a and b? If false, give a counterexample.
[Image]

Q: Write a function rule for each table.

Days | Cost to Rent a Truck
1 | 33
2 | 55
3 | 77
4 | 99
- c = 22d + 11
- c = 11d + 22
- c = 22d + 22
- c = 22d
A: c = 22d + 11

The population of an endangered animal species has been increasing. Make a scatter plot using the data given in the table.

Year | Population
1 | 320
2 | 460
3 | 900
4 | 880
5 | 1260
6 | 1900

[Image]

Q: Write a function rule for each table.

Days | Cost to Rent a Truck
1 | 34
2 | 56
3 | 78
4 | 100
- c = 22d + 12
- c = 12d + 22
- c = 22d + 22
- c = 22d
A: c = 22d + 12