1. Tim tried to solve for y in the equation y + 2 = 4. What mistake did he make in isolating the variable?
EQUATIONS_WITH_VARIABLES-QUIZ-Q1.png
(1 point)
Responses
He also should have subtacted y from each side
He also should have subtacted y from each side
He should have added 4 to each side instead
He should have added 4 to each side instead
She should have added 2 instead of subtracting 2
She should have added 2 instead of subtracting 2
He also should have subtracted 2 from 4
He also should have subtracted 2 from 4
Question 2
2. How do you isolate the variable p in the equation 3p = 18?(1 point)
Responses
Subtract 3 from each side
Subtract 3 from each side
Multiply each side by 3
Multiply each side by 3
Divide each side by 3
Divide each side by 3
Add 3 to each side
Add 3 to each side
Question 3
3. How do you isolate the variable x in the equation x + 7 = 10?(1 point)
Responses
Add 7 to each side
Add 7 to each side
Subtract 7 from each side
Subtract 7 from each side
Multiply each side by 7
Multiply each side by 7
Divide each side by 7
Divide each side by 7
Question 4
4. Which of the following shows the correct way to solve for x in the equation 4x = 24?(1 point)
Responses
Question 5
5. Moby ran 3 times as far as Cassie for a total of 12 miles. What does the variable in the equation 3f = 12 represent in the scenario?(1 point)
Responses
How far Cassie ran
How far Cassie ran
How far Moby ran
How far Moby ran
How fast Cassie ran
How fast Cassie ran
How far Moby and Cassie Both ran
How far Moby and Cassie Both ran
Question 6
6. How do you solve the equation x + 10 = 30(1 point)
Responses
Divide each side by 10
Divide each side by 10
Subtract 10 from each side
Subtract 10 from each side
Add 10 to each side
Add 10 to each side
Subtract 30 from each side
Subtract 30 from each side
Question 7
7. Tim has 6 more books than Moby. The variable m represents the number of books Moby has. Which expression represents the number of books Tim has?(1 point)
Responses
6 - m
6 - m
m + 6
m + 6
6m
6 m
m - 6
m - 6
Question 8
8. What is the solution to the equation 7x = 21(1 point)
Responses
x = 14
x = 14
x = 7
x = 7
x = 28
x = 28
x = 3
x = 3
Question 9
9. Tim found the distance between each of the 21 rungs in a 5-meter ladder using the equation 20d = 5. If Tim decides to make a ladder that is 10 meters long instead, what would the distance (d) between the rungs be?
(Hint: Your equation is going to change)
(1 point)
Responses
0.10 meters
0.10 meters
5 meters
5 meters
0.5 meters
0.5 meters
0.25 meters
0.25 meters
Question 10
10. Tim lives m miles from school. If he drives to school and back home again, he will have traveled 14 miles. What is the value of m?(1 point)
Responses
7
7
28
28
10
10
14
14
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answer all 10
I apologize for the confusion. Let's go through and answer all 10 questions from the quiz.
1. Tim tried to solve for y in the equation y + 2 = 4. What mistake did he make in isolating the variable?
- He should have subtracted 2 from each side.
2. How do you isolate the variable p in the equation 3p = 18?
- Divide each side by 3.
3. How do you isolate the variable x in the equation x + 7 = 10?
- Subtract 7 from each side.
4. Which of the following shows the correct way to solve for x in the equation 4x = 24?
- Divide each side by 4.
5. Moby ran 3 times as far as Cassie for a total of 12 miles. What does the variable in the equation 3f = 12 represent in the scenario?
- How far Cassie ran.
6. How do you solve the equation x + 10 = 30?
- Subtract 10 from each side.
7. Tim has 6 more books than Moby. The variable m represents the number of books Moby has. Which expression represents the number of books Tim has?
- m + 6.
8. What is the solution to the equation 7x = 21?
- x = 3.
9. Tim found the distance between each of the 21 rungs in a 5-meter ladder using the equation 20d = 5. If Tim decides to make a ladder that is 10 meters long instead, what would the distance (d) between the rungs be?
- 0.25 meters.
10. Tim lives m miles from school. If he drives to school and back home again, he will have traveled 14 miles. What is the value of m?
- 7.
I hope that helps to complete the quiz. Let me know if you need further assistance with any of the questions.
1. Tim tried to solve for y in the equation y + 2 = 4. What mistake did he make in isolating the variable?
EQUATIONS_WITH_VARIABLES-QUIZ-Q1.png
(1 point)
Responses
He also should have subtacted y from each side
He also should have subtacted y from each side
He should have added 4 to each side instead
He should have added 4 to each side instead
She should have added 2 instead of subtracting 2
She should have added 2 instead of subtracting 2
He also should have subtracted 2 from 4
The correct response is: He also should have subtracted 2 from 4.
In the equation y + 2 = 4, in order to isolate the variable y, you need to perform the inverse operation of addition. Subtracting 2 from each side of the equation will correctly isolate the variable y.
4. Which of the following shows the correct way to solve for x in the equation 4x = 24?(1 point)
Responses
The correct response is: Divide each side by 4.
To solve for x in the equation 4x = 24, you divide each side by 4 to isolate the variable x. This will give you the correct value of x.