Open Up - Grade 8 - Mathematics - Unit 5 - Lesson 9
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Last updated almost 3 years ago
14 Questions
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.
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2.
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?
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3.
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?
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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?
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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?
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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?
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7.
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?
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1
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?
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1
9.
Solve each of these equations.(Leave your answer as a fraction if you get a fraction.)
2(3x+2)=2x+28
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10.
Solve each of these equations.(Leave your answer as a fraction if you get a fraction.)
5y+13=-43-3y
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11.
Solve each of these equations.(Leave your answer as a fraction if you get a fraction.)
4(2a+2)=8(2-3a)
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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?
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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.
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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?
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