~ 6.10 ~

Different Options for Solving One Equation

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Learning Targets

For an equation like 3(x + 2) = 15, I can solve it in two different ways: by first dividing each side by 3, or by first rewriting 3(x + 2) using the distributive property.
For equations with more than one way to solve, I can choose the easier way depending on the numbers in the equation.

Notes

Two-step equations with decimals and fractionsPractice solving equations that take two steps to solve. These problems involve arithmetic with fractions and decimals.

Find the mistake: two-step equationsPractice spotting the mistake in someone else's work as they attempt to solve two-step equations.

Activities

10.2 Analyzing Solution Methods

Three students each attempted to solve the equation 2(x - 9) = 10, but got different solutions. Here are their methods. Do you agree with any of their methods, and why?

10.3 Solution Pathways

For each equation, try to solve the equation using each method (dividing each side first, or applying the distributive property first). Some equations are easier to solve by one method than the other. Write which is the easier method and why. Then continue solving the equation.

Summary

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