Worksheet: Solving Multi-Step Equations | Math with Mr. J
Comprehension worksheet generated from the video "Solving Multi-Step Equations | Math with Mr. J".
Worksheet: Solving Multi-Step Equations | Math with Mr. J
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Vocabulary
- Distributive Property — A property used to multiply a single term by two or more terms inside a set of parentheses, such as .
- Combine Like Terms — The process of simplifying an expression by adding or subtracting terms that have the same variable raised to the same power.
- Inverse Operations — Operations that undo each other, such as addition and subtraction, or multiplication and division, used to isolate a variable.
- Isolate the Variable — The goal of solving an equation, which means getting the variable by itself on one side of the equals sign.
- Coefficient — The numerical factor that multiplies a variable in an algebraic term, e.g., the ‘12’ in .
Questions
Watch the video and answer the following questions based on the content presented.
1.
According to the narrator at 0:44, what is the first step to consider when solving multi-step equations if parentheses are present?
2.
In the first example, , what is the simplified expression on the left side of the equation after applying the distributive property and combining like terms?
3.
What is the final solution for in the second example, ?
4.
When the narrator is getting variables to one side in the first example (3:40), which term does he suggest eliminating to avoid negatives for the variable?
5.
The video demonstrates checking the solution for both examples. Explain why checking your answer is an important step when solving multi-step equations and how it helps ensure accuracy.
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