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Solving Exponential Equations - Printable Math Worksheets 11th Grade - Wayground

Solving Exponential Equations

LINDSAY DAVIS

Created by LINDSAY DAVIS

20 questions

11th Grade

Math

Updated Aug 2026

Solving Exponential Equations is a free printable Grade 11 mathematics worksheet for Algebra II students. It contains 20 multiple-choice questions in which students solve exponential equations and round numerical solutions to the nearest ten-thousandth. The equations include basic forms such as b^x = c, expressions with a coefficient outside the exponential term, shifted exponents, scaled exponents, negative coefficients, and an equation involving e. Students must interpret the structure of each equation, isolate the exponential expression when needed, determine the value of the variable, and select the correctly rounded answer. The varied forms help teachers check whether students can apply the same solving process when constants or factors appear inside the exponent, outside it, or on both sides of the equation. This worksheet is suitable for independent practice, classwork, or a focused Algebra II assessment, and it includes a complete answer key for efficient checking.

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Solving Exponential Equations

Total questions: 20

Name
Class
Date
1.

Solve the equation. Round to the nearest ten-thousandth. 4b=73.74^b=73.7  

a)

3.1018

b)

4.3

c)

No Solution

d)

1.8675

2.

Solve the equation. Round your answer to the nearest ten-thousandth.  8a=128^a=12  

a)

2.1681

b)

2.4849

c)

1.0792

d)

1.195

3.

Solve the equation. Round your answer to the nearest ten-thousandth.  18x=50.918^x=50.9  

a)

1.3596

b)

1.7067

c)

3.9299

d)

No solution

4.

Solve the equation. Round your answer to the nearest ten-thousandth.  6x=216^x=21  

a)

1.3222

b)

3.0445

c)

No Solution

d)

1.6992

5.

Solve the equation. Round your answer to the nearest ten-thousandth.  143x=63.714^{3x}=63.7  

a)

1.3669

b)

0.6014

c)

1.3847

d)

0.5247

6.

Solve the equation. Round your answer to the nearest ten-thousandth.  810x=428^{10x}=42  

a)

0.1623

b)

0.1797

c)

0.3738

d)

0.3619

7.

Solve the equation. Round your answer to the nearest ten-thousandth.  7n+8=267^{n+8}=26  

a)

No solution

b)

-4.7419

c)

-6.585

d)

-6.3257

8.

Solve the equation. Round your answer to the nearest ten-thousandth.  143p=9614^{3p}=96  

a)

0.6608

b)

No solution

c)

1.5214

d)

0.5765

9.

Solve the equation. Round your answer to the nearest ten-thousandth.  9x−9=239^x-9=23  

a)

1.5051

b)

3.4657

c)

1.5773

d)

No solution

10.

Solve the equation. Round your answer to the nearest ten-thousandth.  −7(10x)=−54-7\left(10^x\right)=-54  

a)

2.0431

b)

1.7481

c)

1.7254

d)

0.8873

11.

Solve the equation. Round your answer to the nearest ten-thousandth.  −4(15x)=−13-4\left(15^x\right)=-13  

a)

No Solution

b)

0.5119

c)

1.1787

d)

0.4352

12.

Solve the equation. Round your answer to the nearest ten-thousandth.  e10v+6=38e^{10v}+6=38  

a)

0.3466

b)

0.1505

c)

0.1182

d)

0.1828

13.

Solve the equation. Round your answer to the nearest ten-thousandth.  19x−2−6=6419^{x-2}-6=64  

a)

3.8451

b)

7.0233

c)

6.2485

d)

3.4429

14.

Solve the equation. Round your answer to the nearest ten-thousandth.  −8(2n+5)=−29.3-8\left(2^{n+5}\right)=-29.3  

a)

-4.4362

b)

No solution

c)

-3.1272

d)

=3.7019

15.

Solve the equation. Round your answer to the nearest ten-thousandth.  12n+7.6+6=4012^{n+7.6}+6=40  

a)

-6.1809

b)

-4.108

c)

-4.0736

d)

-6.0685

16.

Solve the equation. Round your answer to the nearest ten-thousandth.  10(16v−3)−3.3=2810\left(16^{v-3}\right)-3.3=28  

a)

4.141

b)

4.7752

c)

3.4115

d)

3.4955

17.

Solve the equation. Round your answer to the nearest ten-thousandth.  −3(18−8k)−10=−38-3\left(18^{-8k}\right)-10=-38  

a)

-0.0966

b)

-0.2482

c)

-0.2792

d)

-0.1213

18.

Solve the equation. Round your answer to the nearest ten-thousandth.  5(15x−10)−10=835\left(15^{x-10}\right)-10=83  

a)

11.2695

b)

12.9232

c)

11.0794

d)

12.4904

19.

Solve the equation. Round your answer to the nearest ten-thousandth.  8(164.2n)=728\left(16^{4.2n}\right)=72  

a)

0.1887

b)

0.5231

c)

0.4241

d)

0.2272

20.

Solve the equation. Round your answer to the nearest ten-thousandth. 20−5a−6=3720^{-5a}-6=37  

a)

-0.2511

b)

-0.7522

c)

-0.3267

d)

-0.7907

WaygroundAnswer Key

Solving Exponential Equations

Total questions: 20

1.
a)

3.1018

2.
d)

1.195

3.
a)

1.3596

4.
d)

1.6992

5.
d)

0.5247

6.
b)

0.1797

7.
d)

-6.3257

8.
d)

0.5765

9.
c)

1.5773

10.
d)

0.8873

11.
d)

0.4352

12.
a)

0.3466

13.
d)

3.4429

14.
c)

-3.1272

15.
a)

-6.1809

16.
c)

3.4115

17.
a)

-0.0966

18.
c)

11.0794

19.
a)

0.1887

20.
a)

-0.2511

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FAQs

What does the Solving Exponential Equations worksheet cover?

This Grade 11 Algebra II worksheet uses 20 multiple-choice items to practise solving exponential equations and rounding solutions to the nearest ten-thousandth. Students work with forms such as 4^b = 73.7, equations with coefficients like -7(10^x) = -54, shifted exponents such as 19^(x-2) - 6 = 64, scaled exponents, and an equation involving e.

How can I use this worksheet to teach students to solve exponential equations?

Introduce the worksheet by modeling how to isolate the exponential expression before finding the variable, then emphasize how a coefficient, added constant, or expression such as 3x or x - 2 changes the solving steps. Have students explain why a selected option is correctly rounded to the nearest ten-thousandth, especially for items with negative solutions or negative coefficients. Use the multiple-choice distractors to discuss which algebraic step produced an incorrect value.

What mistakes should I watch for when students complete this exponential equations worksheet?

Watch for students treating a coefficient outside the exponential term as part of the exponent, or failing to undo an added or subtracted constant before solving. Students may also mishandle exponents such as 3x, x - 2, or n + 7.6 and then choose a distractor with a plausible decimal value. Check that they round every answer to the nearest ten-thousandth rather than stopping at an unrounded calculator result.

How do I assign and grade this exponential equations worksheet?

On Wayground, this worksheet is available as a printable PDF and as a digital quiz, and it includes a complete answer key for all 20 multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the digital quiz supports online assignment and scoring.

How can I differentiate this exponential equations worksheet for my students?

For the multiple-choice exponential equations on this worksheet, use Advanced Settings to adjust font spacing to normal, medium, or wide and font size from S through XL to improve readability. You can also select a dyslexia-friendly font or translate the worksheet into another language when those options better support students working through the equations and answer choices.

Where can I find more free worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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