Algebra 5.3-5.4 Quiz
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Last updated about 5 years ago
11 questions
1
I predict I will earn a ____% becuase.....
I predict I will earn a ____% becuase.....
4
Solve using elimination. x - 7y = 25 x + 12y = 6
Solve using elimination.
x - 7y = 25
x + 12y = 6
4
Solve using elimination. You may have to rearrange your equation first. 9x - 4y = -55 3x = -4y - 21
Solve using elimination. You may have to rearrange your equation first.
9x - 4y = -55
3x = -4y - 21
4
Solve using elimination. 2x - y = 8 3x + y = 17
Solve using elimination.
2x - y = 8
3x + y = 17
5
Solve using elimination. x + 3y = 1 -5x + 4y = -24
Solve using elimination.
x + 3y = 1
-5x + 4y = -24
5
Solve using elminiation. 3x - 5y = -16 2x - 3y = -8
Solve using elminiation.
3x - 5y = -16
2x - 3y = -8
5
Solve using elimination. You may have to rearrange the equations first. -2x - 9y = -23 4x - 19 = -9y
Solve using elimination. You may have to rearrange the equations first.
-2x - 9y = -23
4x - 19 = -9y
4
Write a system of eqatuons to represent each problem. Solve the system and interpret your answer.
The sum of two numbers is -53 and the difference is -7. What are the two numbers?
Write a system of eqatuons to represent each problem. Solve the system and interpret your answer.
The sum of two numbers is -53 and the difference is -7. What are the two numbers?
6
A car rental company charges a daily rental fee plus a per mile fee over 150 miles. Two different people rent the same style of car for the same number of days. The total bill for one person’s rental is $202 for a 5-day rental and 180 miles. The total bill for the other person’s rental is $240 for a 5-day rental and 200 miles. What is the daily rental fee? What is the fee per mile over 150 miles?
A car rental company charges a daily rental fee plus a per mile fee over 150 miles. Two different people rent the same style of car for the same number of days. The total bill for one person’s rental is $202 for a 5-day rental and 180 miles. The total bill for the other person’s rental is $240 for a 5-day rental and 200 miles. What is the daily rental fee? What is the fee per mile over 150 miles?
6
Two families go skiing on a Saturday. One family purchases two adult lift tickets and four youth lift tickets for $166. Another family purchases four adult lift tickets and five youth lift tickets for $263. Let x represent the cost in dollars of one adult lift ticket and let y represent the cost in dollars of one youth lift ticket. Solve the linear system to find the cost of one adult and one youth lift ticket.
Two families go skiing on a Saturday. One family purchases two adult lift tickets and four youth lift tickets for $166. Another family purchases four adult lift tickets and five youth lift tickets for $263. Let x represent the cost in dollars of one adult lift ticket and let y represent the cost in dollars of one youth lift ticket. Solve the linear system to find the cost of one adult and one youth lift ticket.
0
BonusGreyson has a paper delivery route which he completes by riding his bicycle. The drop-off station where he picks up his papers for delivery is located in the neighborhood where he delivers papers. When riding between his house and the drop-off station, Greyson averages 10 miles per hour. On Monday through Saturday the paper is a small daily and Greyson averages ½ mile per hour while making his deliveries. When delivering the small daily it takes Greyson 4 hours and 18 minutes, from the moment he leaves his house to the moment he returns in order to complete his route. On Sundays, the paper is much larger and he averages 1/3 mile per hour while making his deliveries, which adds an additional 2 hours to the time it takes to complete his route.a. Write a linear system to model this situation, where x represents the miles from Greyson’s house to the drop-off station and y represents the length of the route (in miles).b. What is the distance from Greyson’s house to the drop-off station?c. What is the length of the paper route?
Bonus
Greyson has a paper delivery route which he completes by riding his bicycle. The drop-off station where he picks up his papers for delivery is located in the neighborhood where he delivers papers. When riding between his house and the drop-off station, Greyson averages 10 miles per hour. On Monday through Saturday the paper is a small daily and Greyson averages ½ mile per hour while making his deliveries. When delivering the small daily it takes Greyson 4 hours and 18 minutes, from the moment he leaves his house to the moment he returns in order to complete his route. On Sundays, the paper is much larger and he averages 1/3 mile per hour while making his deliveries, which adds an additional 2 hours to the time it takes to complete his route.
a. Write a linear system to model this situation, where x represents the miles from Greyson’s house to the drop-off station and y represents the length of the route (in miles).
b. What is the distance from Greyson’s house to the drop-off station?
c. What is the length of the paper route?