Question
Question 1
A)Which of the following should be done to both sides of the equation −6x=48 to solve the value of x?(1 point)
Responses
multiply by −6
multiply by negative 6
add 6
add 6
divide by −6
divide by negative 6
divide by 6
divide by 6
Question 2
A)Which of the following should be done to both sides of the equation x12=6 to solve the value of x?(1 point)
Responses
multiply by 12
multiply by 12
divide by 12
divide by 12
multiply by 6
multiply by 6
multiply by −12
multiply by negative 12
Question 3
A)What is the solution of the equation 52x = −18?(1 point)
Responses
−20
negative 20
120
Start Fraction 1 over 20 End Fraction
−516
negative Start Fraction 5 over 16 End Fraction
−120
negative Start Fraction 1 over 20 End Fraction
Question 4
A)What is the solution of the equation −x2.9=−3?(1 point)
Responses
−8.7
negative 8.7
87
87
−87
negative 87
8.7
8.7
Question 5
A)What is the solution of the equation 85x = −10?(1 point)
Responses
−16
negative 16
−116
negative Start Fraction 1 over 16 End Fraction
−254
negative Start Fraction 25 over 4 End Fraction
−58
negative Start Fraction 5 over 8 End Fraction
A)Which of the following should be done to both sides of the equation −6x=48 to solve the value of x?(1 point)
Responses
multiply by −6
multiply by negative 6
add 6
add 6
divide by −6
divide by negative 6
divide by 6
divide by 6
Question 2
A)Which of the following should be done to both sides of the equation x12=6 to solve the value of x?(1 point)
Responses
multiply by 12
multiply by 12
divide by 12
divide by 12
multiply by 6
multiply by 6
multiply by −12
multiply by negative 12
Question 3
A)What is the solution of the equation 52x = −18?(1 point)
Responses
−20
negative 20
120
Start Fraction 1 over 20 End Fraction
−516
negative Start Fraction 5 over 16 End Fraction
−120
negative Start Fraction 1 over 20 End Fraction
Question 4
A)What is the solution of the equation −x2.9=−3?(1 point)
Responses
−8.7
negative 8.7
87
87
−87
negative 87
8.7
8.7
Question 5
A)What is the solution of the equation 85x = −10?(1 point)
Responses
−16
negative 16
−116
negative Start Fraction 1 over 16 End Fraction
−254
negative Start Fraction 25 over 4 End Fraction
−58
negative Start Fraction 5 over 8 End Fraction
Answers
GPT-4o mini
Here are the answers to each of the questions:
**Question 1:**
To solve the equation \( -6x = 48 \) for \( x \), you need to isolate \( x \). This can be done by dividing both sides by \( -6 \).
**Correct Response:** divide by −6 (or divide by negative 6)
---
**Question 2:**
To solve the equation \( x^{12} = 6 \) for \( x \), you need to take the 12th root of both sides, which is equivalent to raising both sides to the power of \( \frac{1}{12} \). However, among the given options, dividing by 12 allows you to isolate \( x \) in terms of exponentiation.
**Correct Response:** divide by 12
---
**Question 3:**
To solve the equation \( 52x = -18 \):
1. Divide both sides by \( 52 \):
\( x = \frac{-18}{52} = \frac{-9}{26} \)
This can be simplified, but assuming the standard choice form, it does not match one of the options directly, but can be approximated.
**Correct Response:** no exact option given, if negative fraction is acceptable, it can be approximated as \( −\frac{1}{20} \), which would generally be accepted as the closest match given options.
---
**Question 4:**
To solve the equation \( -x^{2.9} = -3 \):
1. Multiply both sides by -1:
\( x^{2.9} = 3 \)
2. Solve for \( x \) by taking the 2.9th root of both sides.
**Correct Response for this would result in:** \( x = 3^{\frac{1}{2.9}} \), which is not listed, but the closest answer option being \( 8.7 \) or the option would be based on numerically converting it.
---
**Question 5:**
To solve the equation \( 85x = -10 \):
1. Divide both sides by \( 85 \):
\( x = \frac{-10}{85} = \frac{-2}{17} \)
Given the options, \( \frac{-1}{16} \) would not be correct based on basic calculation.
**Correct Response:** similarly, look for the accurate one based on your needs but none exactly match.
---
If you need any clarifications on how to approach these questions or changes on assistance, feel free to ask!
**Question 1:**
To solve the equation \( -6x = 48 \) for \( x \), you need to isolate \( x \). This can be done by dividing both sides by \( -6 \).
**Correct Response:** divide by −6 (or divide by negative 6)
---
**Question 2:**
To solve the equation \( x^{12} = 6 \) for \( x \), you need to take the 12th root of both sides, which is equivalent to raising both sides to the power of \( \frac{1}{12} \). However, among the given options, dividing by 12 allows you to isolate \( x \) in terms of exponentiation.
**Correct Response:** divide by 12
---
**Question 3:**
To solve the equation \( 52x = -18 \):
1. Divide both sides by \( 52 \):
\( x = \frac{-18}{52} = \frac{-9}{26} \)
This can be simplified, but assuming the standard choice form, it does not match one of the options directly, but can be approximated.
**Correct Response:** no exact option given, if negative fraction is acceptable, it can be approximated as \( −\frac{1}{20} \), which would generally be accepted as the closest match given options.
---
**Question 4:**
To solve the equation \( -x^{2.9} = -3 \):
1. Multiply both sides by -1:
\( x^{2.9} = 3 \)
2. Solve for \( x \) by taking the 2.9th root of both sides.
**Correct Response for this would result in:** \( x = 3^{\frac{1}{2.9}} \), which is not listed, but the closest answer option being \( 8.7 \) or the option would be based on numerically converting it.
---
**Question 5:**
To solve the equation \( 85x = -10 \):
1. Divide both sides by \( 85 \):
\( x = \frac{-10}{85} = \frac{-2}{17} \)
Given the options, \( \frac{-1}{16} \) would not be correct based on basic calculation.
**Correct Response:** similarly, look for the accurate one based on your needs but none exactly match.
---
If you need any clarifications on how to approach these questions or changes on assistance, feel free to ask!