This activity helps students practice the skill of solving exponential equations with same base and with different bases without using logarithms. It requires knowledge of the properties of exponents. All exponential equations given are reducible to quadratic equations with two distinct rational roots.
Partners have their own set of two groups of equations. The first group contains equations which have exponential expressions with same bases and the second group of equations is more challenging as having exponential expressions with different bases.The amusing part of this product is creating compound words corresponding to each solution set of the exponential equations given.
Activity Directions: Partners start solving their own set of two groups of seven equations. They are given two tables to use. There is a word corresponding to each number written in table 1 . Using this table, students find which two words correspond to each solution set of their equations and then they make compound words. Partners record the solution set of each exponential equation and write down the compound word corresponding to it in table 2 .
Students show down detailed solutions on a recording sheet provided.
All answer keys are included.
NOTE: YOU CAN SPLIT THIS ACTIVITY INTO TWO PARTS! In Part One, students can solve only the first group of equations and make compound words and in Part Two, they can solve the second group of equations and create the rest compound words. I recommend that students use a calculator to help them solve the equations faster.
You might also like my FREE version of this activity LEVEL 2. It contains more complex exponential equations suitable for advanced level students or for the mathematically gifted students in class:
Exponential Equations Level 2 Partner Activity "Make a compound word"