Why do we move variables to one side in an equation?

Solving Equations with Variables on Both Sides

Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Medium

Jackson Turner
Used 1+ times
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
To isolate the variable and solve the equation
To make the equation look simpler
Because it's a rule with no real purpose
To ensure the equation remains balanced
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in checking if your solution is correct?
Multiply the solution by each coefficient
Add the solution to each side of the equation
Substitute the solution back into the original equation
Divide the solution by the coefficient of the variable
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a positive result when checking your solution indicate?
The solution is definitely correct
The solution needs to be re-evaluated
The solution is possibly correct
The solution is incorrect
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, why does it not matter which side you choose for the variables?
Because there are an equal number of terms on both sides
Because all terms are positive
Because the equation is symmetrical
Because there are only two terms
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of the distributive property in solving equations?
To combine like terms
To isolate the variable
To eliminate parentheses
To balance both sides of the equation
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you solve an equation after distributing and collecting like terms?
By performing the inverse operation on both sides
By adding or subtracting terms to both sides
By dividing both sides by the leading coefficient
By multiplying both sides by the leading coefficient
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean to perform 'inverse operations' in the context of solving equations?
Performing the opposite operation on both sides to maintain balance
Performing the opposite operation on one side
Performing the same operation on both sides
Ignoring the operations and focusing on the result
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