Solving Rational Equations in Algebra 2
Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
Lucas Foster
FREE Resource
Standards-aligned
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving rational equations as described in the video?
Cross-multiply
Add fractions
Subtract fractions
Isolate the variable
Tags
CCSS.HSA.REI.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what is the value of x after solving the equation 3(x + 7) = 10x?
x = 4
x = 2
x = 3
x = 5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to check if the solution makes any denominator zero?
To verify the solution
To simplify the equation
To cross-multiply
To find the roots
Tags
CCSS.HSA.REI.A.2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what is the equation after cross-multiplying -4(x - 3) = 5(x + 3)?
4x + 12 = -5x - 15
4x - 12 = -5x + 15
-4x - 12 = 5x - 15
-4x + 12 = 5x + 15
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of x in the second example after solving the equation?
x = 1/2
x = -1/2
x = -1/3
x = 1/3
Tags
CCSS.7.EE.B.4A
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the third example, what type of equation is formed after cross-multiplying?
Exponential equation
Cubic equation
Quadratic equation
Linear equation
Tags
CCSS.HSA.REI.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the roots of the quadratic equation x^2 - 3x - 4 = 0?
x = -3 and x = 4
x = 3 and x = -4
x = -4 and x = 1
x = 4 and x = -1
Tags
CCSS.HSA-REI.B.4B
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