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Laabri

Open Up - Grade 8 - Mathematics - Unit 5 - Lesson 9

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Last updated almost 2 years ago
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"Source: Open Up Resouces (Download for free at openupresources.org.)"

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Solve each of these equations.(Leave your answer as a fraction if you get a fraction.)

2(3x+2)=2x+28

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Solve each of these equations.(Leave your answer as a fraction if you get a fraction.)

5y+13=-43-3y

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Solve each of these equations.(Leave your answer as a fraction if you get a fraction.)

4(2a+2)=8(2-3a)

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
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?