Grade 11 Exponential Functions Worksheets
Free printable exponential functions practice for Grade 11 students. Generate problems, solve them on screen or paper, and download as PDF.
Practice Worksheet
Grade 11 Exponential Functions Practice
Solve each problem. Show your work.
- 1.Solve 3^x = 27: x = _____
- 2.Simplify (2^4)(2^3) ÷ 2²: _____
- 3.A population of 200 grows by 5% yearly. Find the population after 3 years, rounded to the nearest whole number: _____
- 4.Solve 2^x = 16: x = _____
- 5.Simplify (5^5)(5^3) ÷ 5²: _____
- 6.A population of 250 grows by 5% yearly. Find the population after 3 years, rounded to the nearest whole number: _____
Show answer key
- Question 1: 3
- Question 2: 2^5
- Question 3: 232
- Question 4: 4
- Question 5: 5^6
- Question 6: 289
Free Practice Worksheets
Print, solve on paper, then upload a photo for AI feedback and feedback.
Build confidence with approachable problems
Solve each problem. Take your time.
- 1.Evaluate the expression: 16^(3/4)
- 2.Simplify the expression: (x^6)^(1/2) * x³
- 3.Solve for x: 3^(x+1) = 27
- 4.Solve for x: 2^(2x) = 16
- 5.Calculate the final amount A if P = 1000, r = 0.05, and t = 2 using the formula A = P(1+r)^t
- 6.Identify the domain and range of the function f(x) = 2^x
A selection of topic skills
Solve each problem. Show your work.
- 1.Simplify the expression (8 1/16)^(3/4) without using a calculator.
- 2.Solve for x in the exponential equation: 3^(2x - 1) = 27^(x + 2).
- 3.A population of bacteria grows according to the function P(t) = 500 * (1.2)^t, where t is time in hours. Calculate the population after 5 hours.
- 4.An investment of 2,500 is placed in an account earning 4.5% annual interest compounded annually. Determine the total value of the investment after 10 years using the formula A = P(1+r)^t.
- 5.Compare the functions f(x) = 2^x and g(x) = (1/2)^x. Describe the key difference in their graphs regarding their end behavior as x approaches infinity.
- 6.Find the domain and range of the function f(x) = 3^(x - 2) + 4.
What Your Child Will Learn
Exponential functions extend the exponent rules from earlier grades into full function behaviour, focusing on how quantities grow or decay by a constant multiplicative factor over equal time intervals. Students graph exponential functions of the form y = a(b)^x, identifying the effect of the base, the growth/decay factor, and transformations like stretches and shifts, and contrast this multiplicative growth pattern with the additive growth of linear functions studied earlier.
Rational exponents receive dedicated attention, with students converting between radical and exponential notation and simplifying expressions involving fractional and negative exponents. Solving exponential equations — including cases requiring a common base — is a key algebraic skill built in this unit.
Real-world applications dominate the problem sets: population growth, radioactive decay, and compound interest using A = P(1 + r)^n are standard contexts, connecting back to the financial literacy ideas from Grade 9 but now treated with full function machinery, including graphing and solving for time or rate algebraically rather than just substituting into a formula.
Skills Covered
- Graphing exponential functions and identifying transformations
- Simplifying expressions with rational (fractional) exponents
- Converting between radical and exponential notation
- Solving exponential equations using common bases
- Modelling growth and decay with exponential functions
- Applying compound interest formula A = P(1+r)^n to solve for unknowns
Curriculum Aligned: Strand of Grade 11 Functions (MCR3U) covering exponential growth and decay, building on exponent laws from Grade 9 number sense.
Parent Tip: Growth and decay problems often hinge on correctly identifying the growth factor from a word problem (is it growing by 5% or to 105%?) — that's a reading-comprehension step as much as a math one. Read the word problem together and ask your teen to state the growth factor out loud before they touch the equation.
What your child will practice
- Rational ExponentsEvaluate powers with rational exponents and simplify expressions.
- Graphing Exponential FunctionsIdentify key features of exponential functions and sketch their graphs.
- Compound InterestSolve problems involving compound interest using exponential functions.
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Check my workFrequently Asked Questions
How often should my child practice exponential functions?
Short daily practice sessions of 10-15 minutes are more effective than long weekly sessions. Consistency builds lasting understanding.
How do I know if my child is at the right level for these worksheets?
If your child can complete about 70% of the problems correctly, the level is appropriate. If it's too easy or too hard, try an adjacent grade level.
Can I use these worksheets for homeschool?
Yes. The worksheets align with standard curriculum expectations and can supplement any math program. Generate multiple worksheets to create a full practice set.