Open Up - Grade 8 - Mathematics - Unit 5 - Lesson 9
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Last updated over 1 year ago
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Question 1
1.
On the first day after the new moon, 2% of the moon's surface is illuminated. On the second day, 6% is illuminated.
Based on this information, predict the day on which the moon's surface is 50% illuminated and 100% illuminated.
Question 2
2.
Question 3
3.
Question 4
4.
In science class, Jada uses a graduated cylinder with water in it to measure the volume of some marbles. After dropping in 4 marbles so they are all under water, the water in the cylinder is at a height of 10 milliliters. After dropping in 6 marbles so they are all under water, the water in the cylinder is at a height of 11 milliliters.
What is the volume of 1 marble?
Question 5
5.
In science class, Jada uses a graduated cylinder with water in it to measure the volume of some marbles. After dropping in 4 marbles so they are all under water, the water in the cylinder is at a height of 10 milliliters. After dropping in 6 marbles so they are all under water, the water in the cylinder is at a height of 11 milliliters.
How much water was in the cylinder before any marbles were dropped in?
Question 6
6.
In science class, Jada uses a graduated cylinder with water in it to measure the volume of some marbles. After dropping in 4 marbles so they are all under water, the water in the cylinder is at a height of 10 milliliters. After dropping in 6 marbles so they are all under water, the water in the cylinder is at a height of 11 milliliters.
What should be the height of the water after 13 marbles are dropped in?
Question 7
7.
Question 8
8.
In science class, Jada uses a graduated cylinder with water in it to measure the volume of some marbles. After dropping in 4 marbles so they are all under water, the water in the cylinder is at a height of 10 milliliters. After dropping in 6 marbles so they are all under water, the water in the cylinder is at a height of 11 milliliters.
How much water was in the cylinder before any marbles were dropped in?
Question 9
9.
Solve each of these equations.(Leave your answer as a fraction if you get a fraction.)
2(3x+2)=2x+28
Question 10
10.
Solve each of these equations.(Leave your answer as a fraction if you get a fraction.)
5y+13=-43-3y
Question 11
11.
Solve each of these equations.(Leave your answer as a fraction if you get a fraction.)
4(2a+2)=8(2-3a)
Question 12
12.
For a certain city, the high temperatures (in degrees Celsius) are plotted against the number of days after the new year.
Based on this information, is the high temperature in this city a linear function of the number of days after the new year?
Question 13
13.
The school designed their vegetable garden to have a perimeter of 32 feet with the length measuring two feet more than twice the width.
Using l to represent the length of the garden and w to represent its width, write and solve a system of equations that describes this situation.
Question 14
14.
The school designed their vegetable garden to have a perimeter of 32 feet with the length measuring two feet more than twice the width.
What are the dimensions of the garden?
"Source: Open Up Resouces (Download for free at openupresources.org.)"
On the first day after the new moon, 2% of the moon's surface is illuminated. On the second day, 6% is illuminated.
The moon's surface is 100% illuminated on day 14. Does this agree with the prediction you made?
Yes
No
On the first day after the new moon, 2% of the moon's surface is illuminated. On the second day, 6% is illuminated.
Is the percentage illumination of the moon's surface a linear function of the day?
Yes, it is a linear function.
No, it is not a linear function.
In science class, Jada uses a graduated cylinder with water in it to measure the volume of some marbles. After dropping in 4 marbles so they are all under water, the water in the cylinder is at a height of 10 milliliters. After dropping in 6 marbles so they are all under water, the water in the cylinder is at a height of 11 milliliters.
Is the volume of water a linear relationship with the number of marbles dropped in the graduated cylinder?
If so, what does the slope of the line mean?
The slope of the line is the Volume.
The Slope is not the volume and is instead the height.
The Slope is not the volume and is instead the number of marbles.