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.
Spiral Review
Required
12 points
12
Question 1
1.
Put the steps in the correct order to solve this multistep equation.
Use distribution to multiply (5k-3) by 2 to get 3k+10k-6=7
undo multiplying by 13 by dividing by both sides of the equation by 13 to get k = 1
Simplify like terms to get the equation 13k - 6 = 7
Check the solution by evaluating the original expression 3k+2(5k-3) to verify that it equals 7
undo subtract 6 by adding 6 to both sides of the equations to get 13k = 13
The solution is k = 1
Required
10 points
10
Question 2
2.
Solve this multi-step equation. Show your work (SYW)
Required
10 points
10
Question 3
3.
Solve this equation
Solving Proportions
10 points
10
Question 4
4.
Cross multiply and fill in each box with the right product.
a. _______
b. _______
Required
5 points
5
Question 5
5.
Solve each proportion. Show your work! Or suffer the consequences...
Required
5 points
5
Question 6
6.
Solve each proportion. Show your work! Or suffer the consequences...
Required
5 points
5
Question 7
7.
Solve each proportion. Show your work! Or suffer the consequences...
Required
10 points
10
Question 8
8.
Solve each proportion. Show your work! Or suffer the consequences...
Required
5 points
5
Question 9
9.
Solve each proportion. Show your work! Or suffer the consequences...
Required
10 points
10
Question 10
10.
Cross multiply and fill in each box with the right product.
a. _______
b. _______
Required
10 points
10
Question 11
11.
Solve each proportion. Show your work! Or suffer the consequences...
Required
10 points
10
Question 12
12.
Cross multiply and fill in each box with the right product.
a. _______
b. _______
Required
10 points
10
Question 13
13.
Solve each proportion. Show your work! Or suffer the consequences...
Required
10 points
10
Question 14
14.
Solve each proportion. Show your work! Or suffer the consequences...
Required
10 points
10
Question 15
15.
Solve each proportion. Show your work! Or suffer the consequences...
Required
10 points
10
Question 16
16.
Solve each proportion. Show your work! Or suffer the consequences...
Required
10 points
10
Question 17
17.
Solve each proportion. Show your work! Or suffer the consequences...
Required
10 points
10
Question 18
18.
Solve each proportion. Show your work! Or suffer the consequences...
Required
10 points
10
Question 19
19.
Solve each proportion. Show your work! Or suffer the consequences...
Day 2 9/19/22
Word Problems involving Proportion
Required
10 points
10
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?
Required
10 points
10
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?
Required
10 points
10
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?
Required
10 points
10
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?
Required
10 points
10
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
Required
10 points
10
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 _______
Required
10 points
10
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 _______
Required
10 points
10
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
Required
10 points
10
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 _______
Required
10 points
10
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 _______
Required
10 points
10
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
Required
10 points
10
Question 31
31.
The sum of two consecutive numbers is 123. Find the numbers.
1st number_______
2nd number _______
Required
10 points
10
Question 32
32.
If the sum of two consecutive numbers is 85, find the numbers.
1st number_______
2nd number _______
Required
10 points
10
Question 33
33.
The sum of two consecutive odd numbers is 128. Find the numbers.
1st odd number_______
2nd odd number _______
Required
10 points
10
Question 34
34.
Find two consecutive even numbers whose sum is 54.
1st even number_______
2nd even number _______
Required
15 points
15
Question 35
35.
The sum of three consecutive even numbers is 138. Find the numbers.