Pregunta
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LESSON PLANS \( \qquad \) Students Work on Bellwork: AGENDA \( 7 w+2=-26 \) (4) \( \frac{f-4}{6}=124 \) (1) \( 3 x+4=22 \) (2) \( \frac{q-32}{4}=8 \) (3) \( -7 v+2=-47 \) (4) \( 144=-12(x+5) \) DIRECTIONS (5) \( -8+\frac{x}{4}=-7 \) (6) \( 0=4+\frac{n}{5} \) (7) \( \frac{y}{5}+5=-30 \) (8) \( 13=\frac{s-14}{2} \) (9) \( 2 p+12=8 p \) (10) \( 6=\frac{t}{4}+2 \) EARLY FINISHERS Jill sold half her story books and then bought 16 more. She now has 36 books. How many story books did she have initially? OManeuvering the Middle LLC, 2020

Ask by Hanson Chan. in the United States
Mar 06,2025

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Jill initially had 40 story books.

Solución

Below is the step‐by‐step solution. ### Step 1: Define the variable Let \( x \) be the number of story books Jill had initially. ### Step 2: Translate the problem into an equation Jill sold half of her story books. After selling, she had \[ \frac{x}{2} \] books left. Then she bought 16 more books, and her total became 36. This gives us the equation: \[ \frac{x}{2} + 16 = 36 \] ### Step 3: Solve the equation 1. Subtract 16 from both sides: \[ \frac{x}{2} = 36 - 16 = 20 \] 2. Multiply both sides by 2 to isolate \( x \): \[ x = 20 \times 2 = 40 \] ### Step 4: Conclusion Jill had \( 40 \) story books initially.

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Bonus Knowledge

The world of algebra is rich with history! Did you know that algebra began over 4,000 years ago with the ancient Babylonians? They used to solve equations through a method resembling what we consider algebra today! The term "algebra" itself comes from the Arabic word "al-jabr," which means "the reunion of broken parts." This fascinating origin is a testament to how fundamental algebra is in various cultures and its evolution over the centuries! Now that your students are diving into equations, it’s essential to keep them from common pitfalls! One common mistake is forgetting to apply the same operation throughout—like when isolating a variable. It's also crucial to remind them to check their solutions by plugging values back into the original equations. This not only reinforces their understanding but also builds confidence as they see the correctness of their answers. Algebra can be tricky, but with practice, they’ll master it!

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