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MATHEMATICS OBJECTIVE
Students will be able to:
Plan multiple solution pathways and choose one to find the solution to multistep equations.
ESSENTIAL UNDERSTANDING
The Distributive Property is an important tool for simplifying expressions and combining like terms. In order to combine like terms, it might be necessary to expand expressions that include parentheses.
I can solve multistep equations.
SOLVING MULTISTEP EQUATIONS
When solving multistep equations, sometimes you distribute first, and then
combine like terms.
Example 1: Distribute first
7(5 + 2x) + x = 65
35 + 14x + x = 65
[Diagram arrows show distributing 7 to both terms in parentheses.]
Sometimes you combine like terms first, and then distribute.
Example 2: Combine like terms first
8(5x + 9x + 6) = 160
8(14x + 6) = 160
[Diagram markings show combining 5x and 9x before distributing 8.]
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