
Exploring Polynomials: Area, Volume, and Graphs for Grade 8
Authored by Anthony Clark
English, Mathematics
8th Grade
CCSS covered

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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A farmer has a rectangular field where the length is represented by the polynomial expression 2x + 3 and the width is represented by x - 1. What is the area of the field in terms of x?
2x^2 + x - 3
x^2 + 5x - 1
2x^2 + 4x + 3
4x^2 + 2x - 3
Tags
CCSS.HSA.APR.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A toy company produces x^2 + 5x + 6 toy cars each day. If they want to increase production by 4 cars, what polynomial equation represents the new production level?
x^2 + 5x + 12
x^2 + 5x + 10
x^2 + 5x + 8
x^2 + 5x + 4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular garden has a length of (x + 4) meters and a width of (x - 2) meters. Write a polynomial expression for the perimeter of the garden and find its value when x = 3.
20 meters
16 meters
12 meters
8 meters
Tags
CCSS.6.EE.A.2C
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The height of a ball thrown into the air can be modeled by the polynomial h(t) = -4.9t^2 + 20t + 5, where t is the time in seconds. What is the maximum height reached by the ball?
30.1 meters
15.2 meters
22.0 meters
25.4 meters
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A school is planning a dance and expects to sell tickets according to the polynomial equation T(x) = -2x^2 + 30x + 50, where x is the number of days before the dance. How many days before the dance should they sell tickets to maximize ticket sales?
5
10
8
12
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular pool has a length of (3x + 2) meters and a width of (x + 1) meters. Write a polynomial expression for the volume of water the pool can hold if the depth is 2 meters. What is the volume when x = 2?
40
25
30
50
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A company’s profit can be modeled by the polynomial P(x) = 3x^3 - 5x^2 + 2x - 1, where x is the number of units sold. What is the profit when 4 units are sold?
150
100
119
80
Tags
CCSS.HSF.IF.A.2
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