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1.7 Solving Proportions (Due 9/22/23)

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Last updated about 1 year ago
35 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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15

Spiral Review

Question 1
1.

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



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

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

Question 3
3.

Solve this equation

Solving Proportions



Question 4
4.
Cross multiply and fill in each box with the right product.

a. _______

b. _______
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.

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


Question 8
8.

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


Question 9
9.

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


Question 10
10.
Cross multiply and fill in each box with the right product.
a. _______

b. _______

Question 11
11.

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


Question 12
12.
Cross multiply and fill in each box with the right product.
a. _______

b. _______

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...


Question 17
17.

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


Question 18
18.

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


Question 19
19.

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


Day 2 9/19/22

Word Problems involving Proportion

Question 20
20.


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 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 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.


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 24
24.


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?

Word Problems involving Equations

Finding Two Numbers

Question 25
25.
The larger of two numbers is seven less than three times the smaller number. If the sum of
the numbers is 61, find the numbers.

Smaller Number _______

Larger Number _______


Question 26
26.
The larger of two numbers is four more than the smaller number. If the sum of the numbers
is 74, find the numbers.

Smaller Number_______

Larger Numberr _______


Question 27
27.
The larger of two numbers is one more than four times the smaller number. If the sum of
the numbers is 106, find the numbers.

Smaller Number _______

Larger Number _______


Finding the Perimeter of a Rectangle

Question 28
28.
The length of a rectangle is six inches more than its width. If the perimeter of the
rectangle is 24 inches, find its dimensions.

Length _______

Width _______


Question 29
29.
The length of a rectangle is five inches more than four times its width. If the perimeter of
the rectangle is 90 inches, find its dimensions.

Length _______

Width _______


Question 30
30.
The length of a rectangle is three centimeters less than twice its width. If the perimeter of
the rectangle is 18 centimeters, find its dimensions.

Length _______

Width _______


Finding Consecutive Numbers


Question 31
31.
The sum of two consecutive numbers is 123. Find the numbers.

1st number_______

2nd number _______


Question 32
32.
If the sum of two consecutive numbers is 85, find the numbers.

1st number_______

2nd number _______


Question 33
33.
The sum of two consecutive odd numbers is 128. Find the numbers.

1st odd number_______

2nd odd number _______


Question 34
34.
Find two consecutive even numbers whose sum is 54.

1st even number_______

2nd even number _______


Question 35
35.
The sum of three consecutive even numbers is 138. Find the numbers.

1st even number_______

2nd even number _______

3rd even number _______