Look at Part 1. Which of the equations shown are true equalities? How do you know?
Look at Part 2. To translate this sentence into an equation, what will you use to represent the unknown number?
A variable (a letter).
Let x represent the unknown number in Part 2. What equation represents this sentence?
Is 14 a solution to
No. Answers vary; encourage students to see that when you substitute
Is –7 a solution to
No. Answers vary; encourage students to talk about the rules regarding negative numbers and division.
Look at A) in Part 3. Will the value of q be positive or negative? How do you know?
Positive. Answers vary; encourage students to talk about the rules regarding multiplication and division of negative numbers.
How can you solve the equation in A) of Part 3 using inverse operations?
Divide both sides by –12.
What is –12q divided by –12?
1q or q.
What is –4 divided by –12? Simplify your answer.
Look at B) in Part 3. If you wanted to solve for a using inverse operations, what would you do?
Subtract 3.8 from both sides of the equation.
Why do you subtract 3.8 from both sides instead of adding 3.8 to both sides?
Answers vary; encourage a discussion about inverse operations and balancing equations.
Subtract 3.8 from both sides. What do you get?
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