Title: Chapter 3 Solving Equations
Course: quiz duplicate error

Q: Solve the equation.

13 = –d + 9
- 4
- –7
- –4
- –6
A: –4

Q: Solve the equation.

11 = –d + 15
- 11
- –4
- 4
- 6
A: 4

Q: Solve the equation.

[Image]x + 6 = 9
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Solve the equation.

12 = –d + 19
- 11
- 7
- –10
- –7
A: 7

Q: Solve the equation.

[Image]x – 8 = 7
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Solve the equation.

42 + 3 + 3m = 66
- m = 4
- m = 7
- m = -7
- m = 9
A: m = 7

Q: Solve the equation.

6 = –d + 15
- 8
- –9
- 11
- 9
A: 9

Q: Solve the equation.

47 + 9 + 2m = 68
- –6
- 6
- 5
- 8
A: 6

Q: Solve the equation.

53 – 8 + 3n = 75
- 9
- –10
- 10
- 13
A: 10

Q: Solve the equation.

37 – 18 + 8w = 67
- w = -6
- w = 4
- w = 7
- w = 6
A: w = 6

Q: Solve the equation.

38 – 8 + 3m = 51
- 7
- 4
- –7
- 8
A: 7

Q: Solve the equation.

[Image]
- –80
- 16
- –16
- 1.8
A: –80

Q: Solve the equation.

10 = –d + 19
- 4
- 9
- –9
- 11
A: 9

Q: Solve the equation.

[Image]x + 5 = 8
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Solve the equation.

[Image]x – 6 = 8
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Solve the equation.

11 = –d + 20
- 10
- –9
- –8
- 9
A: 9

Q: Solve the equation.

[Image]
- –4
- –16
- 15
- –5
A: –16

Q: Solve the equation.

37 – 4 + 9q = 60
- 3
- –3
- 4
- 2
A: 3

Q: Solve the equation.

40 – 2 + 8m = 134
- 15
- 12
- –12
- 9
A: 12

Q: Solve the equation.

3(y + 5) = 33
- 6
- 8
- –16
- 16
A: 6

Q: Solve the equation.

6d + 4d – d – 6 = 3d
- [Image]
- [Image]
- [Image]
- 8
A: [Image]

Q: Solve the equation.

[Image]
- –8
- 2
- –10
- –4
A: 2

Q: Solve the equation.

7d – d – 6d – 4 = 3d
- [Image]
- [Image]
- 9
- [Image]
A: [Image]

Q: A customer went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The total bill was $53.50. Write and solve an equation to find the price of each shrub.
- 4p + $17.50 = $53.50; p = $9.00
- 4(p + $17.50) = $53.50; p = $4.00
- 4p + 17.5p = $53.50; p = $2.49
- 4p + $17.50 = $53.50; p = $11.25
A: 4p + $17.50 = $53.50; p = $9.00

Q: Solve the equation.

[Image]
- 3
- 0
- –9
- –10
A: 3

Q: A customer went to a garden shop and bought some potting soil for $10.00 and 6 shrubs. The total bill was $61.00. Write and solve an equation to find the price of each shrub.
- 6p + $10.00 = $61.00; p = $8.50
- 6p + $10.00 = $61.00; p = $9.50
- 6p + 10p = $61.00; p = $3.81
- 6(p + $10.00) = $61.00; p = $4.25
A: 6p + $10.00 = $61.00; p = $8.50

Q: Solve the equation.

1.5x + 2.8 = 5.8
- 3
- 5.7
- 4.4
- 2
A: 2

Q: Solve the equation.

[Image]
- [Image]
- 33
- 28
- 16
A: 28

Q: Solve the equation.

5x + 7 = 3x – 5
- –6
- –7
- –4
- –2
A: –6

Q: Solve the equation.

3x + 7 = 6x – 2
- 4
- 0
- –1
- 3
A: 3

Q: Solve the equation.

3x + 8 = 5x + 4
- 1
- –1
- 5
- 2
A: 2

Q: Steven wants to buy a $565 bicycle. Steven has no money saved, but will be able to deposit $30 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $65 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?
- 25 weeks
- 19 weeks
- 22 weeks
- 21 weeks
A: 21 weeks

Q: Solve the equation.

5x – 5 = 3x – 9
- –2
- 1
- –1
- –3
A: –2

Q: Solve the equation.

3(y + 6) = 30
- 5
- 16
- 4
- –16
A: 4

Q: Solve the equation.

8d – 4d – 6d – 8 = 2d
- [Image]
- [Image]
- [Image]
- –4
A: [Image]

Q: Steven wants to buy a $460 bicycle. Steven has no money saved, but will be able to deposit $50 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $90 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?
- 11 weeks
- 14 weeks
- 13 weeks
- 9 weeks
A: 11 weeks

Q: Find the value of y.
[Image]
- 18
- 1.8
- –9
- 9
A: –9

Q: Solve the equation.

[Image]
- 16
- 0.16
- 4
- 2.3
A: 4

Q: Determine whether the statement is sometimes, always or never true.
If ax + b – 4 = b and [Image] then [Image].
- always
- sometimes
- never
A: always

Q: Solve the equation.

[Image]
- 28
- [Image]
- [Image]
- 3
A: 3

Q: Solve the equation.

[Image]
- [Image]
- 11
- 9
- 1
A: 9

Q: Which properties of equality justify steps c and f?

[Image]
- Subtraction Property of Equality; Multiplication Property of Equality
- Addition Property of Equality; Division Property of Equality
- Addition Property of Equality; Subtraction Property of Equality
- Multiplication Property of Equality; Division Property of Equality
A: Addition Property of Equality; Division Property of Equality

Q: Solve the equation.

4.9x + 4.4 = 19.1
- 4
- 3
- 4.8
- 7.2
A: 3

Q: Solve the equation.

7d + 2d + 6d + 9 = 4d
- [Image]
- [Image]
- –4
- [Image]
A: [Image]

Q: Solve the equation.

4(y + 2) = 40
- 6
- –12
- 8
- 12
A: 8

Q: Solve the equation.

5(y – 5) = –10
- 7
- 3
- –7
- 1
A: 3

Q: Solve the equation.

4.3x + 2.6 = 15.5
- 1.8
- 4
- 4.2
- 3
A: 3

Q: You are driving to visit a friend in another state who lives 440 miles away. You are driving 55 miles per hour and have already driven 275 miles. Write and solve an equation to find how much longer in hours you must drive to reach your destination.
- [Image]; [Image]
- [Image]; [Image]
- [Image]; [Image]
- [Image]; [Image]
A: [Image]; [Image]

Q: Solve the equation.

[Image]
- –39
- –24
- [Image]
- –20
A: –24

Q: Solve the equation.

4(y – 2) = 16
- –2
- 2
- 6
- 8
A: 6

Q: Solve the equation.

1.5x + 3.8 = 8.3
- 2.8
- 4
- 3
- 8.1
A: 3

Q: Solve the equation.

[Image]
- 36
- 24
- [Image]
- 40
A: 36

Q: Solve the equation.

[Image]
- –31
- [Image]
- –50
- –35
A: –35

Q: Write the conversion factor for seconds to minutes. Use the factor to convert 105 seconds to minutes.
- [Image]; 1.75 min
- [Image]; 1.5 min
- [Image]; 3 min
- [Image]; 1 min
A: [Image]; 1.75 min

Q: Write the conversion factor for seconds to minutes. Use the factor to convert 75 seconds to minutes.
- [Image]; 1 min
- [Image]; 0.5 min
- [Image]; 1.25 min
- [Image]; 2.5 min
A: [Image]; 1.25 min

Q: $1.80/hour = ____ cents/minute?
- 1.1
- 180
- 2
- 3
A: 3

Q: A copy center offers its customers two different pricing plans for black and white photocopies of 8.5 in. by 11 in. pages. Customers can either pay $.08 per page or can pay $7.50 for a discount card that lowers the cost to $.05 per page. Write and solve an equation to find the number of photocopies for which the cost of each plan is the same.
- [Image]; [Image]
- [Image]; [Image]
- [Image]; [Image]
- [Image]; [Image]
A: [Image]; [Image]

Q: a. Find the value of a.
b. Find the value of the marked angles.
[Image]
- 17; 115º
- 16; 109º
- 15; 103º
- 19; 127º
A: 16; 109º

Q: The perimeter of the rectangle is 52 cm. Find the value of x.
[Image]
- 6
- [Image]
- 41
- 26
A: 6

Q: a. Find the value of a.
b. Find the value of the marked angles.
[Image]
- 22; 100º
- 19; 88º
- 20; 92º
- 24; 108º
A: 20; 92º

Q: A car is driving at a speed of 45 mi/h. What is the speed of the car in feet per minute?
- 3,960 ft/min
- 2,700 ft/min
- 1,935 ft/min
- 237,600 ft/min
A: 3,960 ft/min

Q: A 16-oz bottle of water costs $1.44. What is the cost per ounce?
- $0.09/oz
- $0.18/oz
- $0.90/oz
- $1.78/oz
A: $0.09/oz

Q: Find the unit rate for number of parts manufactured per hour if 1430 parts are made in 5 hours. Round to the nearest integer.
- 311 parts/h
- 238 parts/h
- 286 parts/h
- 331 parts/h
A: 286 parts/h

Q: Write the conversion factor for converting meters to centimeters.
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: $6.60/hour = ____ cents/minute?
- 7.5
- 4
- 660
- 11
A: 11

Q: A camera manufacturer spends $2,100 each day for overhead expenses plus $9 per camera for labor and materials. The cameras sell for $14 each.
a. How many cameras must the company sell in one day to equal its daily costs?
b. If the manufacturer can increase production by 50 cameras per day, what would their daily profit be?
- 420; $250
- 480; $550
- 380; $50
- 150; $1100
A: 420; $250

Q: Find the unit rate for number of parts manufactured per hour if 1630 parts are made in 6 hours. Round to the nearest integer.
- 325 parts/h
- 272 parts/h
- 237 parts/h
- 291 parts/h
A: 272 parts/h

Q: a. Find the value of a.
b. Find the value of the marked angles.
[Image]
- 18; 115º
- 22; 139º
- 21; 133º
- 19; 121º
A: 19; 121º

Q: Find the measure of [Image]. (Hint: The sum of the measures of the angles in a triangle is [Image].)
[Image]
- [Image]
- [Image]
- [Image]
- 8 [Image]
A: 8 [Image]

Q: The perimeter of the rectangle is 22 cm. Find the value of x.
[Image]
- 11
- 2
- 14
- [Image]
A: 2

Q: John and 3 friends are going out for pizza for lunch. They split one pizza and 4 large drinks. The pizza cost $12.00. After using a $7.00 gift certificate, they spend a total of $10.00. Write an equation to model this situation, and find the cost of one large drink.
- 4d + $12.00 – $7.00 = $10.00; $1.35
- 3d + $12.00 – $7.00 = $10.00; $1.67
- 4d + $12.00 – $7.00 = $10.00; $1.25
- 4d – $12.00 + $7.00 = $10.00; $5.00
A: 4d + $12.00 – $7.00 = $10.00; $1.25

Q: A car is driving at a speed of 60 mi/h. What is the speed of the car in feet per minute?
- 5,280 ft/min
- 3,600 ft/min
- 316,800 ft/min
- 2,580 ft/min
A: 5,280 ft/min

Q: A 32-oz bottle of water costs $1.28. What is the cost per ounce?
- $0.04/oz
- $0.40/oz
- $8.00/oz
- $0.80/oz
A: $0.04/oz

Q: The perimeter of the rectangle is 24 cm. Find the value of x.
[Image]
- 3
- 12
- [Image]
- 18
A: 3

Q: Write the conversion factor for seconds to minutes. Use the factor to convert 90 seconds to minutes.
- [Image]; 1.5 min
- [Image]; 0.8 min
- [Image]; 1.25 min
- [Image]; 2.75 min
A: [Image]; 1.5 min

Q: Which equation is an identity?
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: a. Find the value of a.
b. Find the value of the marked angles.
[Image]
- 24; 152º
- 20; 128º
- 22; 140º
- 19; 122º
A: 20; 128º

Q: A car is driving at a speed of 50 mi/h. What is the speed of the car in feet per minute?
- 4,400 ft/min
- 2,150 ft/min
- 264,000 ft/min
- 3,000 ft/min
A: 4,400 ft/min

Q: Write the conversion factor for seconds to minutes. Use the factor to convert 135 seconds to minutes.
- [Image]; 2 min
- [Image]; 1.5 min
- [Image]; 3.5 min
- [Image]; 2.25 min
A: [Image]; 2.25 min

Q: $5.40/hour = ____ cents/minute?
- 540
- 6.1
- 3.2
- 9
A: 9

Q: A camera manufacturer spends $2,800 each day for overhead expenses plus $7 per camera for labor and materials. The cameras sell for $11 each.
a. How many cameras must the company sell in one day to equal its daily costs?
b. If the manufacturer can increase production by 50 cameras per day, what would their daily profit be?
- 660; $40
- 700; $200
- 770; $480
- 255; $1580
A: 700; $200

Q: $7.80/hour = ____ cents/minute?
- 13
- 8.8
- 780
- 4.7
A: 13

Q: The perimeter of the rectangle is 26 cm. Find the value of x.
[Image]
- [Image]
- 2
- 13
- 16
A: 2

Q: Find the value of each variable.
[Image]
- [Image]; [Image]; [Image]; [Image]
- [Image]; [Image]; [Image]; [Image]
- [Image]; [Image]; [Image]; [Image]
- [Image]; [Image]; [Image]; [Image]
A: [Image]; [Image]; [Image]; [Image]

Q: A car is driving at a speed of 65 mi/h. What is the speed of the car in feet per minute?
- 2,795 ft/min
- 3,900 ft/min
- 343,200 ft/min
- 5,720 ft/min
A: 5,720 ft/min

Q: Solve the proportion.

[Image]
- –30
- –1.2
- –20
- –3.3
A: –3.3

Q: Solve the proportion.

[Image]
- 19.2
- 27.6
- 1.3
- 138
A: 27.6

Q: Two rectangles are similar. One has a length of 10 cm and a width of 7 cm, and the other has a width of 4 cm. Find the length of the second rectangle. Round to the nearest tenth if necessary.
- 6.6 cm
- 4.3 cm
- 5.7 cm
- 2.8 cm
A: 5.7 cm

Q: Solve the proportion.

[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Solve the proportion.

[Image]
- 264
- 11
- 44
- 3.3
A: 44

Q: The pair of figures is similar. Find x. Round to the nearest tenth if necessary.

[Image]
- 1.2 ft
- 13.3 ft
- 1.9 ft
- 0.3 ft
A: 13.3 ft

Q: School guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip. How many chaperones must there be for 82 students?
- 3 chaperones
- 6 chaperones
- 7 chaperones
- 41 chaperones
A: 7 chaperones

Q: Solve the proportion.

[Image]
- 14.4
- 1.7
- 36.8
- 115
A: 14.4

Q: The pair of figures is similar. Find x. Round to the nearest tenth if necessary.

[Image]
- 5.3 cm
- 23 cm
- 15.3 cm
- 14.1 cm
A: 5.3 cm

Q: Solve the proportion.

[Image]
- –20.8
- –125
- –30
- –1.2
A: –20.8

Q: Solve the proportion.

[Image]
- 32
- 40
- 64
- 72
A: 40

Q: The pair of figures is similar. Find x. Round to the nearest tenth if necessary.

[Image]
- 5.1 ft
- 0.2 ft
- 3.3 ft
- 1.8 ft
A: 5.1 ft

Q: Solve the proportion.

[Image]
- –137.5
- –275
- –0.9
- –4.5
A: –137.5

Q: Two rectangles are similar. One has a length of 10 cm and a width of 8 cm, and the other has a width of 7 cm. Find the length of the second rectangle. Round to the nearest tenth if necessary.
- 8.8 cm
- 6.6 cm
- 10.1 cm
- 5.6 cm
A: 8.8 cm

Q: Solve the proportion.

[Image]
- [Image]
- 6
- [Image]
- [Image]
A: [Image]

Q: The pair of figures is similar. Find x. Round to the nearest tenth if necessary.

[Image]
- 4.1 ft
- 2.2 ft
- 0.3 ft
- 2.7 ft
A: 4.1 ft

Q: The cross products of a proportion are ____ equal.
- always
- sometimes
- never
A: always

Q: School guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip. How many chaperones must there be for 80 students?
- 6 chaperones
- 40 chaperones
- 3 chaperones
- 7 chaperones
A: 7 chaperones

Q: Solve the proportion.

[Image]
- –12.8
- –102
- –2.8
- –22.7
A: –12.8

Q: Solve the proportion.

[Image]
- 6.9
- 88
- 3.6
- 17.6
A: 17.6

Q: A van travels 200 miles on 10 gallons of gas. Write and solve a function to find how many gallons the van needs to travel 460 miles.
- 23 gallons of gas
- 26 gallons of gas
- 87 gallons of gas
- 92 gallons of gas
A: 23 gallons of gas

Q: A van travels 220 miles on 10 gallons of gas. Write and solve a function to find how many gallons the van needs to travel 550 miles.
- 31 gallons of gas
- 121 gallons of gas
- 115 gallons of gas
- 25 gallons of gas
A: 25 gallons of gas

Q: A package delivery company has determined that they can meet their schedules if they have 4 drivers for every 30 square miles of area they cover. If they want to offer service to a county of 75 square miles, how many drivers must they have?
- 12 drivers
- 10 drivers
- 15 drivers
- 9 drivers
A: 10 drivers

Q: Solve the proportion.

[Image]
- 55
- 2.2
- 110
- 1.8
A: 55

Q: The pair of figures is similar. Find x. Round to the nearest tenth if necessary.

[Image]
- 43.2 cm
- 36 cm
- 13.3 cm
- 24.7 cm
A: 13.3 cm

Q: The pair of figures is similar. Find x. Round to the nearest tenth if necessary.

[Image]
- 12.2 cm
- 19.1 cm
- 26.5 cm
- 26 cm
A: 12.2 cm

Q: The pair of figures is similar. Find x. Round to the nearest tenth if necessary.

[Image]
- 2 ft
- 0.2 ft
- 1.2 ft
- 7.5 ft
A: 7.5 ft

Q: In similar triangles, corresponding angles are ____ congruent.
- always
- sometimes
- never
A: always

Q: During the month of February, Fabulous Feet Shoe Mart sold 40 pairs of red loafers. After an ad campaign to boost sales, they sold 52 pairs in March. Find the percent of increase in sales.
- 30%
- 23%
- 18%
- 35%
A: 30%

Q: You measure the width of a doorway and find that it is 0.93 m wide. Find the greatest possible error of your measurement.
- 0.05 m
- 0.005 m
- 0.01 m
- 0.001 m
A: 0.005 m

Q: A map has a scale of 1 cm : 18 km. Two cities are 6.9 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?
- 124.2 km
- 131.1 km
- 214.2 km
- 142.2 km
A: 124.2 km

Q: Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B crosses the starting line and runs at an average rate of 6.4 miles per hour. If the length of the marathon is 26.2 miles, which runner will finish ahead of the other? Explain.
- Runner B; Runner B will catch up to Runner A 4 hours after Runner A crosses the starting line.
- Runner B; Runner B will pass Runner A and finish more than half an hour ahead of Runner A.
- Runner B; Runner B will catch up to runner A 3.5 hours after Runner A crosses the starting line.
- Runner A; Runner B will not be able to catch Runner A in the time it takes Runner A to complete the 26.2 mile course.
A: Runner B; Runner B will catch up to Runner A 4 hours after Runner A crosses the starting line.

Q: The sum of two consecutive integers is –55. Write an equation that models this situation and find the values of the two integers.
- [Image]; [Image]; [Image]
- [Image]; [Image]; [Image]
- [Image]; [Image]; [Image]
- [Image]; [Image]; [Image]
A: [Image]; [Image]; [Image]

Q: The sum of four consecutive odd integers is [Image]. Write an equation to model this situation, and find the values of the four integers.
- [Image]; [Image]; [Image]; [Image]; [Image]
- [Image]; [Image]; [Image]; [Image]; [Image]
- [Image]; [Image]; [Image]; [Image]; [Image]
- [Image]; [Image]; [Image]; [Image]; [Image]
A: [Image]; [Image]; [Image]; [Image]; [Image]

Q: The circulation of a newsletter decreased from 5400 to 3180. Find the percent of decrease in circulation to the nearest percent.
- 41%
- 6%
- 170%
- 70%
A: 41%

Q: The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of the two integers.
- [Image]; [Image]; [Image]
- [Image]; [Image]; [Image]
- [Image]; [Image]; [Image]
- [Image]; [Image]; [Image]
A: [Image]; [Image]; [Image]

Q: Find the percent error of the measurement 5 cm.
- 1%
- 10%
- 50%
- 5%
A: 10%

Q: During the month of February, Fabulous Feet Shoe Mart sold 50 pairs of red loafers. After an ad campaign to boost sales, they sold 60 pairs in March. Find the percent of increase in sales.
- 12%
- 20%
- 15%
- 23%
A: 20%

Q: A map has a scale of 1 cm : 20 km. Two cities are 2.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?
- 52.5 km
- 50 km
- 150 km
- 70 km
A: 50 km

Q: The circulation of a newsletter decreased from 5200 to 3140. Find the percent of decrease in circulation to the nearest percent.
- 66%
- 40%
- 166%
- 6%
A: 40%

Q: Carlos and Maria drove a total of 258 miles in 5 hours. Carlos drove the first part of the trip and averaged 53 miles per hour. Maria drove the remainder of the trip and averaged 51 miles per hour. For approximately how many hours did Maria drive? Round your answer to the nearest tenth if necessary.
- 3.5 hours
- 2.5 hours
- 1.8 hours
- 1.5 hours
A: 3.5 hours

Q: You measure the width of a doorway and find that it is 0.9 m wide. Find the greatest possible error of your measurement.
- 0.001 m
- 0.005 m
- 0.01 m
- 0.05 m
A: 0.05 m

Q: Carlos and Maria drove a total of 192 miles in 3.6 hours. Carlos drove the first part of the trip and averaged 55 miles per hour. Maria drove the remainder of the trip and averaged 51 miles per hour. For approximately how many hours did Maria drive? Round your answer to the nearest tenth if necessary.
- 2.5 hours
- 1.5 hours
- 2.1 hours
- 2.8 hours
A: 1.5 hours

Q: Two rectangles are similar. One has a length of 11 cm and a width of 10 cm, and the other has a width of 5 cm. Find the length of the second rectangle. Round to the nearest tenth if necessary.
- 4.1 cm
- 5.5 cm
- 6.3 cm
- 4.5 cm
A: 5.5 cm

Q: The length of a rectangle is 9 centimeters less than twice its width. The perimeter of the rectangle is 42 cm. What are the dimensions of the rectangle?
- length = 8 cm; width = 13 cm
- length = 9 cm; width = 9 cm
- length = 10 cm; width = 11 cm
- length = 11 cm; width = 10 cm
A: length = 11 cm; width = 10 cm

Q: The length of a rectangle is 7 centimeters less than twice its width. The perimeter of the rectangle is 34 cm. What are the dimensions of the rectangle?
- length = 9 cm; width = 8 cm
- length = 6 cm; width = 11 cm
- length = 7 cm; width = 7 cm
- length = 8 cm; width = 9 cm
A: length = 9 cm; width = 8 cm

Q: Use the scale and map measurements to find the actual distance from New Wilmington to Sharon through Mercer. What is the actual distance if you travel from New Wilmington to Sharon through Volant?
[Image]
- 27 mi; 42 mi
- 40.5 mi; 63 mi
- 13.5 mi; 21 mi
- 54 mi; 84 mi
A: 27 mi; 42 mi

Q: Find the percent of change in altitude if a weather balloon moves from 100 ft to 103 ft. Describe the percent of change as an increase or decrease. Round to the nearest tenth if necessary.
- 2.6%; increase
- 3.4%; decrease
- 3%; increase
- 3%; decrease
A: 3%; increase

Q: Find the greatest possible error for the measurement 0.991 g.
- 0.0005 g
- 0.001 g
- 0.1 g
- 0.005 g
A: 0.0005 g

Q: Find the percent of change in altitude if a weather balloon moves from 55 ft to 88 ft. Describe the percent of change as an increase or decrease. Round to the nearest tenth if necessary.
- 60%; increase
- 44.3%; decrease
- 51%; increase
- 60%; decrease
A: 60%; increase

Q: The sum of two consecutive integers is –47. Write an equation that models this situation and find the values of the two integers.
- [Image]; [Image]; [Image]
- [Image]; [Image]; [Image]
- [Image]; [Image]; [Image]
- [Image]; [Image]; [Image]
A: [Image]; [Image]; [Image]

Q: The percent of change in two numbers is ____ greater than 100%.
- always
- sometimes
- never
A: sometimes

Q: At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist heading north is riding 7 km/hour faster than the bicyclist heading south. At 10:15, they are 41.25 km apart. Find the two bicyclists’ rates.
- northbound bicyclist = 23 km/h; southbound bicyclist = 16 km/h
- northbound bicyclist = 20 km/h; southbound bicyclist = 13 km/h
- northbound bicyclist = 20 km/h; southbound bicyclist = 12 km/h
- northbound bicyclist = 22 km/h; southbound bicyclist = 13 km/h
A: northbound bicyclist = 20 km/h; southbound bicyclist = 13 km/h

Q: The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 26 cm. What are the dimensions of the rectangle?
- length = 5 cm; width = 5 cm
- length = 7 cm; width = 6 cm
- length = 6 cm; width = 7 cm
- length = 4 cm; width = 9 cm
A: length = 7 cm; width = 6 cm

Q: You measure the width of a doorway and find that it is 1.0 m wide. Find the greatest possible error of your measurement.
- 0.001 m
- 0.01 m
- 0.05 m
- 0.005 m
A: 0.05 m

Q: Use the scale and map measurements to find the actual distance from New Wilmington to Sharon through Mercer. What is the actual distance if you travel from New Wilmington to Sharon through Volant?
[Image]
- 40.5 mi; 49.5 mi
- 54 mi; 66 mi
- 27 mi; 33 mi
- 13.5 mi; 16.5 mi
A: 27 mi; 33 mi

Q: Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point. If her total rowing time is 48 min, for how long does she row upstream? Express your answer to the nearest minute.
- about 44 min
- about 26 min
- about 24 min
- about 30 min
A: about 26 min

Q: At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist heading north is riding 6 km/hour faster than the bicyclist heading south. At 10:15, they are 42.5 km apart. Find the two bicyclists’ rates.
- northbound bicyclist = 20 km/h; southbound bicyclist = 14 km/h
- northbound bicyclist = 23 km/h; southbound bicyclist = 17 km/h
- northbound bicyclist = 18 km/h; southbound bicyclist = 11 km/h
- northbound bicyclist = 20 km/h; southbound bicyclist = 13 km/h
A: northbound bicyclist = 20 km/h; southbound bicyclist = 14 km/h

Q: A map has a scale of 1 cm : 21.5 km. Two cities are 6.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?
- 146.3 km
- 139.8 km
- 247.3 km
- 161.3 km
A: 139.8 km

Q: Find the percent error of the measurement 4 cm.
- 10%
- 40%
- 1%
- 4%
A: 10%

Q: A tree casts a shadow 10 ft long. A boy standing next to the tree casts a shadow 2.5 ft. long. The triangle shown for the tree and its shadow is similar to the triangle shown for the boy and his shadow. If the boy is 5 ft. tall, how tall is the tree?
[Image]
[Image]
- 18 ft
- 12.5 ft
- 15 ft
- 20 ft
A: 20 ft

Q: Peter is reading a 193-page book. He has read three pages more than one fourth of the number of pages he hasn’t yet read.
a. How many pages has he not yet read?
b. Estimate how many days it will take Peter to finish the book if he reads about 8 pages per day.
- 144; about 18 days
- 147; about 18 days
- 152; about 19 days
- 141; about 18 days
A: 152; about 19 days

Q: Simplify [Image].
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Find the minimum and maximum possible areas of a rectangle measuring 2 km by 10 km.
- minimum area: 14.25 km^2 maximum area 20 km^2
- minimum area: 20 km^2 maximum area 26.25 km^2
- minimum area: 14.25 km^2 maximum area 26.25 km^2
- minimum area: 26.25 km^2 maximum area 14.25 km^2
A: minimum area: 14.25 km^2 maximum area 26.25 km^2

Q: You measure a piece of rope and find its length to be 3 m. Find the percent error of this measurement. Round to the nearest hundredth.
- 1.67%
- 4%
- 0.67%
- 16.67%
A: 16.67%

Q: Is [Image]rational or irrational?
- rational
- irrational
A: irrational

Q: You measure a piece of rope and find its length to be 1 m. Find the percent error of this measurement. Round to the nearest hundredth.
- 50%
- 2%
- 5%
- 12%
A: 50%

Q: Simplify [Image].
- 0.605
- 1.1
- 11
- 1.11
A: 1.1

Q: Is [Image]rational or irrational?
- rational
- irrational
A: rational

Q: You measure a piece of rope and find its length to be 9 m. Find the percent error of this measurement. Round to the nearest hundredth.
- 0.56%
- 1.33%
- 5.56%
- 0.22%
A: 5.56%

Q: You measure a piece of rope and find its length to be 15 m. Find the percent error of this measurement. Round to the nearest hundredth.
- 0.8%
- 0.33%
- 0.13%
- 3.33%
A: 3.33%

Q: Find the percent error of the measurement 6 cm.
- 1%
- 10%
- 6%
- 60%
A: 10%

Q: Simplify [Image].
- 0.5
- 0.55
- 0.125
- 5
A: 0.5

Q: The principal square root of a positive real number is ________ negative.
- always
- sometimes
- never
A: never

Q: Simplify [Image].
- 0.66
- 0.18
- 6
- 0.6
A: 0.6

Q: Find the minimum and maximum possible areas of a rectangle measuring 12 km by 7 km.
- minimum area: 84 km^2 maximum area 93.75 km^2
- minimum area: 93.75 km^2 maximum area 74.75 km^2
- minimum area: 74.75 km^2 maximum area 84 km^2
- minimum area: 74.75 km^2 maximum area 93.75 km^2
A: minimum area: 74.75 km^2 maximum area 93.75 km^2

Q: You measure a piece of rope and find its length to be 13 m. Find the percent error of this measurement. Round to the nearest hundredth.
- 0.92%
- 3.85%
- 0.38%
- 0.15%
A: 3.85%

Q: Find the minimum and maximum possible areas of a rectangle measuring 2 km by 5 km.
- minimum area: 13.75 km^2 maximum area 6.75 km^2
- minimum area: 6.75 km^2 maximum area 13.75 km^2
- minimum area: 10 km^2 maximum area 13.75 km^2
- minimum area: 6.75 km^2 maximum area 10 km^2
A: minimum area: 6.75 km^2 maximum area 13.75 km^2

Q: Is [Image]rational or irrational?
- irrational
- rational
A: irrational

Q: Simplify [Image].
- 0.32
- 8
- 0.8
- 0.88
A: 0.8

Q: Find the minimum and maximum possible areas for a rectangle measuring 4.15 cm by 7.34 cm. Round to the nearest hundredth.
- minimum area: 24.97 cm^2 maximum area 36.46 cm^2
- minimum area: 29.89 cm^2 maximum area 31.04 cm^2
- minimum area: 30.40 cm^2 maximum area 30.52 cm^2
- minimum area: 31.76 cm^2 maximum area 34.98 cm^2
A: minimum area: 30.40 cm^2 maximum area 30.52 cm^2

Q: Is [Image]rational or irrational?
- irrational
- rational
A: rational

Q: Simplify [Image].
- 10
- 1
- 0.5
- 1
A: 1

Q: You measure a piece of rope and find its length to be 4 m. Find the percent error of this measurement. Round to the nearest hundredth.
- 3%
- 1.25%
- 12.5%
- 0.5%
A: 12.5%

Q: Simplify [Image].
- –50
- [Image]
- 25
- –25
A: –50

Q: Simplify [Image].
- 0.02
- 0.2
- 2
- 0.22
A: 0.2

Q: Simplify [Image].
- 1.33
- 1.3
- 0.845
- 13
A: 1.3

Q: Simplify [Image].
- 4
- 0.08
- 0.44
- 0.4
A: 0.4

Q: Between what two consecutive integers is [Image]?
- 13 and 14
- 10 and 11
- 11 and 12
- 8 and 9
A: 11 and 12

Q: The formula [Image] gives the velocity v in feet per second of an object that has fallen h feet. Find the velocity of an object that has fallen 92 feet. Round to the nearest hundredth.
- 76.73 ft/sec
- 54.26 ft/sec
- 13.56 ft/sec
- 5888 ft/sec
A: 76.73 ft/sec

Q: Find the length of the missing side. If necessary, round to the nearest tenth.

[Image]
- 25
- 17.7
- 50
- 625
A: 17.7

Q: Determine whether the following statement is sometimes, always, or never true.

Two legs of a right triangle are equal and have length a, which is an integer. The hypotenuse of that triangle has length c, which is also an integer.
- never
- sometimes
- always
A: never

Q: A scuba diver has a taut rope connecting the dive boat to an anchor on the ocean floor. The rope is 140 feet long and the water is 40 feet deep. To the nearest tenth of a foot, how far is the anchor from a point directly below the boat?
- 145.6 ft
- 9,000 ft
- 18,000 ft
- 134.2 ft
A: 134.2 ft

Q: [Image] has coordinates of A(–5, –6), B(8, –3), and C(1, 4). Find the coordinates of its image after a dilation centered at the origin with a scale factor of 1.5.
- A(–7.5, –9), B(12, –4.5), C(1.5, 6)
- A(–5, –6), B(8, –3), C(1, 4)
- A(–3.33, –4), B(5.33, –2), C(0.67, 2.67)
- A(–7.5, –6), B(12, –3), C(1.5, 4)
A: A(–7.5, –9), B(12, –4.5), C(1.5, 6)

Q: Between what two consecutive integers is [Image]?
- 11 and 12
- 14 and 15
- 12 and 13
- 9 and 10
A: 12 and 13

Q: Determine whether the forces in the pair are pulling at right angles to each other.

28 lb, 33 lb, resultant force 58 lb
- yes
- no
A: no

Q: Determine whether the forces in the pair are pulling at right angles to each other.

13 lb, 35 lb, resultant force 30 lb
- yes
- no
A: no

Q: Determine whether the forces in the pair are pulling at right angles to each other.

15 lb, 8 lb, resultant force 17 lb
- yes
- no
A: yes

Q: Determine whether the given lengths can be sides of a right triangle.

5 m, 24 m, 25 m
- yes
- no
A: no

Q: Solve using a graphing calculator.

9d – 2d + 4d + 2 = 5d
- [Image]
- [Image]
- [Image]
- –6
A: [Image]

Q: Find the length of the missing side. If necessary, round to the nearest tenth.

[Image]
- 361
- 19
- 38
- 14.9
A: 14.9

Q: Find the length of the missing side. If necessary, round to the nearest tenth.

[Image]
- 30.6
- 21.5
- 43
- 14.7
A: 14.7

Q: Determine whether the given lengths can be sides of a right triangle.

9 in., 15 in., 17 in.
- no
- yes
A: no

Q: Find the length of the missing side. If necessary, round to the nearest tenth.

[Image]
- 7.9
- 63
- 31.5
- 44.6
A: 7.9

Q: [Image] has coordinates of A(–8, –8), B(4, –2), and C(2, 2). Find the coordinates of its image after a dilation centered at the origin with a scale factor of 1.5.
- A(–12, –12), B(6, –3), C(3, 3)
- A(–8, –8), B(4, –2), C(2, 2)
- A(–5.33, –5.33), B(2.67, –1.33), C(1.33, 1.33)
- A(–12, –8), B(6, –2), C(3, 2)
A: A(–12, –12), B(6, –3), C(3, 3)

Q: Determine whether the given lengths can be sides of a right triangle.

3 in., 40 in., 41 in.
- yes
- no
A: no

Q: Solve using a graphing calculator.

7d + d – 4d – 7 = 5d
- [Image]
- [Image]
- –2
- [Image]
A: [Image]

Q: Between what two consecutive integers is [Image]?
- 14 and 15
- 11 and 12
- 9 and 10
- 12 and 13
A: 12 and 13

Justify each step.
[Image]

Q: Determine whether the given lengths can be sides of a right triangle.

18 m, 24 m, 30 m
- no
- yes
A: yes

Q: The expression [Image] is ________ rational if a and b are integers and [Image].
- always
- sometimes
- never
A: sometimes

Q: Find the length of the missing side. If necessary, round to the nearest tenth.

[Image]
- 15
- 22.4
- 17.3
- 30
A: 17.3

Q: Between what two consecutive integers is [Image]?
- 13 and 14
- 11 and 12
- 8 and 9
- 10 and 11
A: 11 and 12

Q: Determine whether the given lengths can be sides of a right triangle.

8 cm, 40 cm, 41 cm
- no
- yes
A: no

Q: Solve using a graphing calculator.

9d – 2d + 6d – 9 = 2d
- [Image]
- 9
- [Image]
- [Image]
A: [Image]

Q: Between what two consecutive integers is [Image]?
- 12 and 13
- 10 and 11
- 9 and 10
- 7 and 8
A: 10 and 11

Q: The formula [Image] gives the velocity v in feet per second of an object that has fallen h feet. Find the velocity of an object that has fallen 76 feet. Round to the nearest hundredth.
- 12.33 ft/sec
- 69.74 ft/sec
- 4864 ft/sec
- 49.32 ft/sec
A: 69.74 ft/sec

Q: Determine whether the forces in the pair are pulling at right angles to each other.

20 lb, 15 lb, resultant force 25 lb
- yes
- no
A: yes

Q: Determine whether the given lengths can be sides of a right triangle.

5 cm, 15 cm, 17 cm
- no
- yes
A: no

Q: Determine whether the following statement is sometimes, always, or never true.

Two consecutive positive integers form part of a Pythagorean triple.
- never
- always
- sometimes
A: sometimes

Q: A scuba diver has a taut rope connecting the dive boat to an anchor on the ocean floor. The rope is 135 feet long and the water is 65 feet deep. To the nearest tenth of a foot, how far is the anchor from a point directly below the boat?
- 14,000 ft
- 149.8 ft
- 118.3 ft
- 7,000 ft
A: 118.3 ft

Q: [Image] has coordinates of A(–4, –4), B(6, –6), and C(–2, 6). Find the coordinates of its image after a dilation centered at the origin with a scale factor of 2.
- A(–8, –8), B(12, –12), C(–4, 12)
- A(–4, –4), B(6, –6), C(–2, 6)
- A(–2, –2), B(3, –3), C(–1, 3)
- A(–8, –4), B(12, –6), C(–4, 6)
A: A(–8, –8), B(12, –12), C(–4, 12)

In the diagram [Image]. Use the Pythagorean Theorem to find x. Express x as a radical expression in simplest form. Show your work.
[Image]

Solve the equation. Justify each step.
–2x + 7 = –13

The length of a rectangle is 8 cm more than 3 times its width. The perimeter of the rectangle is 64 cm.
a. What are the dimensions of the rectangle? Show your work.
b. What is the area of the rectangle? Show your work.

A class writes the equation n + n + 1 + n + 2 = 87 to solve the following problem.

      The sum of 3 consecutive odd integers is 87. Find the three integers.

What error did they make?

Solve the equation. Justify each step.
6x – 7 = –37

A 1-in. length on the blueprint corresponds to an actual length of 3 ft.
[Image]
a. What is the scale of the blueprint?
b. What are the actual dimensions of the bathroom?
c. What is the actual area of the bathroom?
d. What is the actual area of the living room?

Solve the equation. Justify each step.
3x + 12 = –6

Solve the equation. Justify each step.
2x – 13 = –37

Use a calculator to find [Image] to the nearest hundredth.

The table below shows the measured dimensions of a prism, and the maximum and minimum possible values based on the greatest possible error.
[Image]

Dimensions | l | w | h
Measured | 9 | 5 | 3
Maximum | 9.5 | 5.5 | 3.5
Minimum | 8.5 | 4.5 | 2.5

a. Find the measured volume.
b. Find the maximum volume.
c. Find the minimum volume.
d. What is the percent error? Round to the nearest percent.

Solve the equation. Justify each step.
–10x + 5 = –15

An item costs $36. The price is increased by $15, then reduced by $15. Is the percent of increase equal to the percent of decrease? Explain your answer.

State the hypothesis and the conclusion of the conditional. Then write the converse. Tell whether the converse is true or false.

If you are on the Georgia coast, then you are at the Atlantic Ocean.

Find the percent error in calculating the volume of the prism. Show all of your work.
[Image]

The standard method for solving an equation like [Image] is to use the Subtraction Property of Equality and then the Division Property of Equality. It is possible to solve the equation using the properties in the reverse order. Explain why the standard method is better.

Determine whether the following statement is sometimes, always,or never true. Show your work.

Every 2-digit number ending in 5 can be written as the sum of three consecutive integers.
(Hint: Try 15 and 25.)

Explain the error in the student’s work.

[Image]

Van Gogh’s painting Starry Night measures 92 cm long by 73 cm high. You buy a poster that shows an enlargement of the painting. The poster measures 120 cm long by 100 cm high. Is the poster an accurate representation of the painting? (Hint: Is the poster similar to the painting?)