
MATH 9_Q1 WEEK 2

Quiz
•
Others
•
9th Grade
•
Hard
Kimberly Socrates
Used 2+ times
FREE Resource
11 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Mario’s Water Level Challenge
Mario, a tour guide in Palawan, plans to take a tourist to the Undergound River. The tour boat’s speed is affected by the river’s water level, which changes with the tide.
Mario notices the water level (in meters) follows a quadratic equation: h(t) = 2t2 + 3t + 1, where t is the time in hours.
At what time (t) will the water level be 7 meters?
½ hours
3/2 hours
5/2 hours
7/2 hours
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Mario’s Water Level Challenge
Mario, a tour guide in Palawan, plans to take a tourist to the Undergound River. The tour boat’s speed is affected by the river’s water level, which changes with the tide.
Mario notices the water level (in meters) follows a quadratic equation: h(t) = 2t2 + 3t + 1, where t is the time in hours.
If the boat's speed is directly proportional to the square root of the water level, and the speed is 10km/h when the water level is 4 meters, what is the speed when the water level is 9 meters?
15 km/h
18 km/h
20 km/hr
22 km/h
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The Glass Igloo Project
In the frozen tundra of Lapland, Finland, stood an architectural wonder: the Glass Igloo. This ethereal structure, composed of glass panels, seemed to defy gravity and blend seamlessly into the snowy landscape. Behind its breathtaking beauty lay a tapestry of intricate mathematical calculations.
The structure's design involves solving various quadratic equations and rational algebraic equations to ensure stability, optimal use of materials, and aesthetic appeal. The height h of the igloo’s main arch is given by the quadratic equation h = − x2 + 6x.
What is the quadratic equation given of the Igloo's main arch?
h = x2 + 6x.
h = − x2 + 6x.
h = − x + 6x.
h = − x + 6.
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The Glass Igloo Project
In the frozen tundra of Lapland, Finland, stood an architectural wonder: the Glass Igloo. This ethereal structure, composed of glass panels, seemed to defy gravity and blend seamlessly into the snowy landscape. Behind its breathtaking beauty lay a tapestry of intricate mathematical calculations.
The structure's design involves solving various quadratic equations and rational algebraic equations to ensure stability, optimal use of materials, and aesthetic appeal. The height h of the igloo’s main arch is given by the quadratic equation h = − x2 + 6x.
The cost C to produce each glass panel is given by the rational algebraic expression C(x)=100x+2. Calculate the cost when x = 3.
15
20
30
50
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The Glass Igloo Project
In the frozen tundra of Lapland, Finland, stood an architectural wonder: the Glass Igloo. This ethereal structure, composed of glass panels, seemed to defy gravity and blend seamlessly into the snowy landscape. Behind its breathtaking beauty lay a tapestry of intricate mathematical calculations.
The structure's design involves solving various quadratic equations and rational algebraic equations to ensure stability, optimal use of materials, and aesthetic appeal. The height h of the igloo’s main arch is given by the quadratic equation h = − x2 + 6x.
The quadratic equation representing the width w of a glass panel is given by w= x2 - 4x + 4. If the width needs to be at least 2 meters, solve for x.
x≤1 or x≥3
x≤0.5 or x≥3.5
x≤2 or x≥4
x≤1.5 or x≥2.5
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Optimizing Space for Flower Beds and Tents at Balayong Park
Balayong Park is known for its beautiful cherry blossom trees and intricate garden paths. Recently, the park management has decided to add more flower beds in the shape of rectangular plots but with specific constraints on the dimensions.
If a flower bed in Balayong Park has its length represented by x and width by (2x−1)(2x - 1), form the quadratic expression representing the area of the flower bed.
x(2x+1) = 2x2+x
x2 + 2x = x3
x (2x - 1) = 2x2 - x
x (2x - 1) = 2x2 - 2x - 1
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Optimizing Space for Flower Beds and Tents at Balayong Park
Balayong Park is known for its beautiful cherry blossom trees and intricate garden paths. Recently, the park management has decided to add more flower beds in the shape of rectangular plots but with specific constraints on the dimensions.
Given that the area of the flower bed must be less than 30 square meters, form the quadratic inequality and solve for x.
2x2 - x < 30; Solve: x < 5 or x > − 6
2x2 - x < 30; Solve: x < 3.5 and x > - 4
2x2 - x > 30; Solve: x > 5 and x < -6
2x2 - x < 30; Solve: x > 3 and x < −5
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