Linear & Quadratic Equations: Real-World Challenges

Quiz
•
English, Mathematics
•
9th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer drives a total of 150 miles, how much will they pay? Write a linear equation to represent the total cost and solve it.
$80
$70
$100
$90
Tags
CCSS.7.EE.B.4A
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular garden has a length that is 3 meters longer than its width. If the area of the garden is 54 square meters, find the dimensions of the garden using a quadratic equation.
Width: 4 meters, Length: 7 meters
Width: 6 meters, Length: 9 meters
Width: 7 meters, Length: 10 meters
Width: 5 meters, Length: 8 meters
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ball is thrown upwards from a height of 1.5 meters with an initial velocity of 10 meters per second. The height of the ball after t seconds is given by the equation h(t) = -4.9t^2 + 10t + 1.5. How long will it take for the ball to hit the ground?
1.75 seconds
2.24 seconds
4.50 seconds
3.10 seconds
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Two friends, Alice and Bob, are saving money for a concert. Alice saves $5 each week, while Bob saves $3 each week. If Alice has $20 more than Bob after a certain number of weeks, write a system of equations to represent their savings and solve for the number of weeks.
10 weeks
15 weeks
5 weeks
12 weeks
Tags
CCSS.8.EE.C.8C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular pool is being built with a length that is twice its width. If the area of the pool is 200 square meters, find the dimensions of the pool using a quadratic equation.
Width: 15 meters, Length: 30 meters
Width: 10 meters, Length: 20 meters
Width: 5 meters, Length: 10 meters
Width: 8 meters, Length: 16 meters
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The height of a projectile is modeled by the equation h(t) = -16t^2 + 32t + 48, where h is the height in feet and t is the time in seconds. Determine the time at which the projectile reaches its maximum height.
3 seconds
1 second
2 seconds
0.5 seconds
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A store sells two types of shirts: plain shirts for $15 each and graphic shirts for $25 each. If a customer buys a total of 10 shirts for $200, write a system of equations to represent the situation and solve for the number of each type of shirt purchased.
6 plain shirts and 4 graphic shirts
8 plain shirts and 2 graphic shirts
5 plain shirts and 5 graphic shirts
7 plain shirts and 3 graphic shirts
Tags
CCSS.8.EE.C.8C
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