8th Grade Math Homework

Week of October 16th through October 20th

**Monday, November 6, 2017:**

Lesson 7

Problem Set 1, 2, and 3

1. Give a brief explanation as to what kind of solution(s) you expect for the linear equation 18𝑥𝑥+1 2=6(3𝑥𝑥+25). Transform the equation into a simpler form if necessary.

2. Give a brief explanation as to what kind of solution(s) you expect for the linear equation 8−9𝑥𝑥=15𝑥𝑥+7+3𝑥𝑥. Transform the equation into a simpler form if necessary.

3. Give a brief explanation as to what kind of solution(s) you expect for the linear equation 5(𝑥𝑥+9)=5𝑥𝑥+45. Transform the equation into a simpler form if necessary.

**Tuesday, November 7, 2017**

Lesson 8

Problem Set 1, 2, and 3

1. You forward an e-card that you found online to three of your friends. They liked it so much that they forwarded it on to four of their friends, who then forwarded it on to four of their friends, and so on. The number of people who saw the e-card is shown below. Let 𝑆𝑆1 represent the number of people who saw the e-card after one step, let 𝑆𝑆2 represent the number of people who saw the e-card after two steps, and so on. 𝑆𝑆1=3 𝑆𝑆2=3+3⋅4 𝑆𝑆3=3+3⋅4+3⋅42 𝑆𝑆4=3+3⋅4+3⋅42+3⋅43

a. Find the pattern in the equations.

b. Assuming the trend continues, how many people will have seen the e-card after 10 steps?

c. How many people will have seen the e-card after 𝑛𝑛 steps? For each of the following questions, write an equation, and solve to find each answer.

2. Lisa has a certain amount of money. She spent $39 and has 3 4 of the original amount left. How much money did she have originally?

3. The length of a rectangle is 4 more than 3 times the width. If the perimeter of the rectangle is 18.4 cm, what is the area of the rectangle?

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**Wednesday, November 8, 2017**

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Lesson 9

Problem Set 1 and 2

1. Eman walks from the store to her friend’s house, 2 miles away. It takes her 35 minutes.

a. What fraction represents her constant speed, 𝐶𝐶?

b. Write the fraction that represents her constant speed, 𝐶𝐶, if she walks 𝑦𝑦 miles in 10 minutes.

c. Write and solve a proportion using the fractions from parts (a) and (b) to determine how many miles she walks after 10 minutes. Round your answer to the hundredths place. d. Write a two-variable equation to represent how many miles Eman can walk over any time interval.

2. Erika drives from school to soccer practice 1.3 miles away. It takes her 7 minutes.

a. What fraction represents her constant speed, 𝐶𝐶?

b. What fraction represents her constant speed, 𝐶𝐶, if it takes her 𝑥𝑥 minutes to drive exactly 1 mile?

c. Write and solve a proportion using the fractions from parts (a) and (b) to determine how much time it takes her to drive exactly 1 mile. Round your answer to the tenths place.

d. Write a two-variable equation to represent how many miles Erika can drive over any time interval.

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**Thursday, November 9, 2017**

Lesson 9

Problem Set 3 and 4

3. Darla drives at a constant speed of 45 miles per hour.

a. If she drives for 𝑦𝑦 miles and it takes her 𝑥𝑥 hours, write the two-variable equation to represent the number of miles Darla can drive in 𝑥𝑥 hours.

b. Darla plans to drive to the market 14 miles from her house, then to the post office 3 miles from the market, and then return home, which is 15 miles from the post office. Assuming she drives at a constant speed the entire time, how long will it take her to run her errands and get back home? Round your answer to the hundredths place.

4. Aaron walks from his sister’s house to his cousin’s house, a distance of 4 miles, in 80 minutes. How far does he walk in 30 minutes?

**Friday, November 10, 2017**

School Holiday