Exponential Functions Test – Algebra 1 Math (Printable PDF)

Question 1 Classify and Write the Rule (2 points)

For each table, state whether it is linear or exponential and write an equation.

1. x	0	1	2	3
   y	6	18	54	162

   (1 point)

2. x	0	1	2	3
   y	14	21	28	35

   (1 point)

Question 2 Growth or Decay? (2 points)

State whether each function shows growth or decay, and give the percent rate.

1. f(x) = 900(0.93)^x (1 point)
2. g(x) = 0.5(1.25)^x (1 point)

Question 3 Evaluate a Decay Function (2 points)

Let f(x) = 64(0.75)^x.

1. Find f(0) and f(2). (1 point)
2. Find f(3). (1 point)

Question 4 Equation from a Graph (3 points)

The graph shows points of an exponential function y = a · b^x.

1. Find a and b. (1 point)
2. Write the equation. (1 point)
3. Find y when x = 3. (1 point)

Question 5 Compound Interest (2 points)

Calculate the balance when $3,500 is invested at 5% interest compounded annually for 4 years. Round to the nearest cent.

Question 6 A Tablet Loses Value (2 points)

A tablet costs $720 and loses 15% of its value each year.

1. Write a function for its value after t years. (1 point)
2. Find its value after 2 years. (1 point)

Question 7 Two Plans Compared (3 points)

A gym offers two plans. Plan A costs A(w) = 30 + 12w dollars after w weeks. Plan B costs B(w) = 3(2)^w dollars after w weeks. The graph shows both.

1. Which plan costs more after 4 weeks? (1 point)
2. Find the first whole week when Plan B costs more than Plan A. Show values. (2 points)

Question 8 Interpret a Mold Model (2 points)

Mold on a slice of bread covers an area of A(d) = 4(1.3)^d cm² after d days.

1. Explain the meaning of 4 and 1.3. (1 point)
2. Find the area after 3 days. (1 point)

Question 9 Line Against Curve (2 points)

Let f(x) = 100x and g(x) = 2^x. Mia says that the line is always above the curve because 100 is such a big slope. Show that she is wrong by finding a whole number x where g(x) > f(x).