Exponential Equations and Quadratics
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard
Thomas White
FREE Resource
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20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving an exponential equation by converting it into a quadratic form?
Use logarithms immediately
Graph the equation
Rewrite the equation in terms of a single variable
Directly apply the quadratic formula
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the equation 3^x - 3^-x = 1 be rewritten?
As a quadratic equation
As a linear equation
As a logarithmic equation
As a polynomial equation
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of multiplying both sides of the equation by 3^x?
3^(2x) + 1 = 3^x
3^(2x) + 1 = 0
3^(2x) - 1 = 3^x
3^(2x) - 1 = 0
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is made to transform the exponential equation into a quadratic form?
Let 3^x = y
Let 3^x = P
Let x = 3^y
Let x = 3^P
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the quadratic formula used to solve the equation?
x = (a ± √(a² - 4bc)) / 2b
x = (b ± √(b² + 4ac)) / 2a
x = (-a ± √(a² + 4bc)) / 2c
x = (-b ± √(b² - 4ac)) / 2a
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of 'a' in the quadratic equation derived from the exponential equation?
0
1
-1
2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of 'b' in the quadratic equation derived from the exponential equation?
0
2
-1
1
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