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1.7 Solving Proportions (Due 10/01/2024)

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Last updated 10 months ago
32 questions
Note from the author:
Essential Question: How do you solve proportions that contain variables?

Learning Target: Students will be able to solve proportions that contain variables that represent real-world problem.

Complete the entire assignment and show work for full credit. Responses without work will receive no points.
Essential Question: How do you solve proportions that contain variables?

Learning Target: Students will be able to solve proportions that contain variables that represent real-world problem.

Complete the entire assignment and show work for full credit. Responses without work will receive no points.
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Solving Proportions



Question 1
1.
Cross multiply and fill in each box with the right product.

a. _______

b. _______
Question 2
2.

Solve each proportion. Show your work! Or suffer the consequences...


Question 3
3.

Solve each proportion. Show your work! Or suffer the consequences...


Question 4
4.

Solve each proportion. Show your work! Or suffer the consequences...


Question 5
5.

Solve each proportion. Show your work! Or suffer the consequences...


Question 6
6.

Solve each proportion. Show your work! Or suffer the consequences...


Question 7
7.
Cross multiply and fill in each box with the right product.
a. _______

b. _______

Question 8
8.

Solve each proportion. Show your work! Or suffer the consequences...


Question 9
9.
Cross multiply and fill in each box with the right product.
a. _______

b. _______

Question 10
10.

Solve each proportion. Show your work! Or suffer the consequences...


Question 11
11.

Solve each proportion. Show your work! Or suffer the consequences...


Question 12
12.

Solve each proportion. Show your work! Or suffer the consequences...


Question 13
13.

Solve each proportion. Show your work! Or suffer the consequences...


Question 14
14.

Solve each proportion. Show your work! Or suffer the consequences...


Question 15
15.

Solve each proportion. Show your work! Or suffer the consequences...


Question 16
16.

Solve each proportion. Show your work! Or suffer the consequences...


Day 2 10/01/24

Word Problems Involving Proportions

Question 17
17.

In your own words, what is a proportion? (Use the internet to help you answer this question.)

Question 18
18.


Jasmine bought 1000 robux for $8 with her parents' money. At the same exchange rate, how many robux can Lisa buy if she stole $24 from her parents?

Question 19
19.

Suppose a car can travel 315 miles using 15 gallons of gas on average. How many gallons of gas would it take to drive the 63 miles between Moreno Valley and Los Angeles?

Question 20
20.

Sara is having a birthday party. Her friend, Jasmine, told her that she invited 20 people to her party and ended up getting 500 dollars in cash from all her presents. Sara wants to make at least 1200 dollars from her presents. If the people that will be invited to her party are as generous as the people from Jasmine's party, how many would she need to invite to her birthday?

Question 21
21.

Sam used 6 loaves of elf bread on an 8 day hiking trip. He wants to know how many loaves of elf bread, b, he should pack for a 12 day hiking trip if he eats the same amount of bread each day.

How many loaves of elf bread should Sam pack for a 12 day trip?

Question 22
22.

Chef Rita is cooking for a Sunday brunch. She knows that 22 pancakes can feed 8 people. She is wondering how many people (p) she can feed with 55 pancakes. She assumes each person eats the same quantity of pancakes.

How many people can Rita feed with 55 pancakes?

Question 23
23.

In an office supply store, 88 markers cost a total of $12.00. Assuming all markers are equally priced, how much would 6 markers cost?


Question 24
24.

In a rainforest in Panama, the ratio of two-toed sloths to three-toed sloths is 10:3. There are 741 three-toed sloths in the rainforest. How many two-toed are there?


Question 25
25.


For history class, Joe spent 2 hours writing a 4-page report on ancient Egypt. This weekend, he needs to write a 12-page report on the Roman Empire.

If he writes at the same rate, how long will it take Joe to write his report?

Question 26
26.


Ariana picked 21 cups of ripe strawberries from her garden. She plans to use all of the strawberries to make strawberry jam. Her recipe calls for 2 cups of sugar for every 7 cups of strawberries.

How much sugar does Ariana need to use?

Question 27
27.


Nolan is following his family's macaroni and cheese recipe. The recipe calls for 6 cups of shredded cheese and 4 tablespoons of milk. He wants to make a smaller batch, so he uses only 3 cups of shredded cheese.

How much milk does Nolan need for this smaller batch?

Question 28
28.


Last week, Laura volunteered at the community clean-up event and earned 2 patches for her scout uniform. She spent 4 minutes sewing the patches onto her uniform. This week, Laura spent the week at the scout camp and earned another 6 patches.

If Laura sews at the same rate, how many minutes will she spend sewing her new patches onto her uniform?

Spiral Review

Question 29
29.

Solve each proportion. Show your work! Or suffer the consequences...


Question 30
30.

Put the steps in the correct order to solve this multistep equation.



  1. Simplify like terms to get the equation 13k - 6 = 7
  2. undo subtract 6 by adding 6 to both sides of the equations to get 13k = 13
  3. Check the solution by evaluating the original expression 3k+2(5k-3) to verify that it equals 7
  4. Use distribution to multiply (5k-3) by 2 to get 3k+10k-6=7
  5. The solution is k = 1
  6. undo multiplying by 13 by dividing by both sides of the equation by 13 to get k = 1
Question 31
31.

Solve this multi-step equation. Show your work (SYW)

Question 32
32.

Solve this equation