What is the first step in solving rational equations by factoring?

Solving Rational Equations: Factoring and Cross Multiplying

Interactive Video
•
Mathematics
•
8th - 12th Grade
•
Hard

Emma Peterson
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Cross-multiply the equations
Find the least common denominator
Set the denominator equal to zero
Check if the numerator is factorable
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to check your solutions in rational equations?
To ensure the solution does not make the denominator zero
To verify the solution is less than zero
To confirm the solution is a whole number
To make sure the solution is greater than one
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean if a solution is 'in a hole'?
The solution is undefined
The solution makes the denominator zero
The solution is an asymptote
The solution is valid and does not make the denominator zero
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the correct factorization of x^2 + 5x + 6?
(x - 2)(x - 3)
(x + 2)(x + 3)
x(x + 6) + 5
x(x + 5) + 6
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you solve a rational equation by cross-multiplying?
Multiply diagonally across the equation and solve
Add the numerators together
Multiply opposite sides' numerator and denominator
Multiply denominators by each other
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of cross-multiplying 3/(x+1) = 9/(4x+5)?
9x + 27 = 12x + 15
x + 1 = 3(4x + 5)
3x + 9 = 4x + 5
3(4x+5) = 9(x+1)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the solution to the equation after cross-multiplying and simplifying 3x - 9 = 12x + 15?
x = 2
x = -2
x = 3
x = -3
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