Grade 12 Exponential Equations Worksheet

A Grade 12 math worksheet focusing on solving and graphing exponential equations, including real-world applications.

Grade 12 Math AlgebraExponential Equations

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Includes

3 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSF.LE.A.4CCSS.MATH.CONTENT.HSF.IF.C.7.E

Topics

exponential equationsalgebragrade 12math

8 sections · Free to use · Printable

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Exponential Equations Review

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Solve for x in the equation: 3^(2x-1) = 27

2. Solve for x in the equation: e^(x+2) = 5

3. Which of the following graphs represents exponential decay?

4. The horizontal asymptote of the function f(x) = 2^x is at y = .

5. The base of the natural logarithm is represented by the constant .

6. The domain of any exponential function f(x) = a^x (where a > 0, a ≠ 1) is all real numbers.

True

False

7. Sketch the graph of the function y = (1/2)^x on the coordinate plane below. Label at least two points and the asymptote.

8. A population of bacteria doubles every hour. If there are initially 100 bacteria, how many will there be after 5 hours? Use the formula P(t) = P₀ * 2^(t/h), where h is the doubling time.