What is the first step in verifying if a solution satisfies a given equation?

Understanding Nonlinear Equations

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Liam Anderson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Check if the solution is a whole number
Substitute the solution into the equation
Ensure the solution is positive
Compare the solution with other solutions
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When using elimination to solve nonlinear equations, what is the purpose of multiplying an equation by a negative number?
To simplify the equation
To make the equation linear
To eliminate a variable
To change the equation's solution
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the benefit of using elimination over substitution in some cases?
It always provides a solution
It can simplify the process by reducing variables
It is faster
It is more accurate
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the substitution method, what is the next step after expressing one variable in terms of another?
Solve for the second variable
Substitute back into the original equation
Multiply both sides by a constant
Check the solution
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of factoring a trinomial in solving equations?
To find possible solutions for the variable
To eliminate a variable
To find the greatest common factor
To simplify the equation
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should you do if the coefficients in an equation are all even?
Multiply by a constant
Divide by two
Subtract a constant
Add a constant
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to check solutions in nonlinear equations?
To compare with linear solutions
To find the largest solution
To verify they satisfy all equations
To ensure they are integers
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