**Lesson 10 | Session 2****Practice Solving Linear Equations in One Variable with the Variable on Both Sides***Study the Example showing how to solve a linear equation with the variable on both sides. Then solve problems 1–4.*---**Example**The weight of Keiko’s kitten is $\frac{1}{6}$ the weight of her puppy. If each animal gains 3 pounds, the kitten will weigh $\frac{1}{3}$ as much as the puppy. The equation $\frac{1}{6}w + 3 = \frac{1}{3}(w + 3)$ describes this situation, where $w$ is the weight of the puppy now. How much does the puppy weigh now?\[6\left(\frac{1}{6}w + 3\right) = 6 \cdot \frac{1}{3}(w + 3)\]\[6\left(\frac{1}{6}w + 3\right) = 2(w + 3)\]\[w + 18 = 2w + 6\]\[w - w + 18 = 2w - w + 6\]\[18 = w + 6\]\[12 = w \quad \text{The puppy weighs 12 pounds now.}\]---1. **In the Example, how much will the kitten weigh if it gains 3 pounds? Show your work.**

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LESSON 10 | SESSION 2 Name: Practice Solving Linear Equations in One Variable with the Variable on Both Sides Study the Example showing how to solve a linear equation with the variable on both sides. Then solve problems 1-4. Example The weight of Keiko's kitten is the weight of her puppy. If each animal gains 3 pounds, the kitten will weigh as much as the puppy. The equation w+ 3 = (w + 3) describes this situation, where w is the weight of the puppy now. How much does the puppy weigh now? 6(/w + 3) 이나 + 3) 6w + 3) = 2(w + 3) w + 18 = 2w +6 w-w+ 18 = 2w-w+6 = 6. (w + 3) 18=w+6 12= w The puppy weighs 12 pounds now. 1 In the Example, how much will the kitten weigh if it gains 3 pounds? Show your work.

LESSON 10 | SESSION 2 Name: Practice Solving Linear Equations in One Variable with the Variable on Both Sides Study the Example showing how to solve a linear equation with the variable on both sides. Then solve problems 1-4. Example The weight of Keiko's kitten is the weight of her puppy. If each animal gains 3 pounds, the kitten will weigh as much as the puppy. The equation w+ 3 = (w + 3) describes this situation, where w is the weight of the puppy now. How much does the puppy weigh now? 6(/w + 3) 이나 + 3) 6w + 3) = 2(w + 3) w + 18 = 2w +6 w-w+ 18 = 2w-w+6 = 6. (w + 3) 18=w+6 12= w The puppy weighs 12 pounds now. 1 In the Example, how much will the kitten weigh if it gains 3 pounds? Show your work.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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A: topic- linear equations

Question

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**Lesson 10 | Session 2**

**Practice Solving Linear Equations in One Variable with the Variable on Both Sides**

*Study the Example showing how to solve a linear equation with the variable on both sides. Then solve problems 1–4.*

---

**Example**

The weight of Keiko’s kitten is $\frac{1}{6}$ the weight of her puppy. If each animal gains 3 pounds, the kitten will weigh $\frac{1}{3}$ as much as the puppy. The equation $\frac{1}{6}w + 3 = \frac{1}{3}(w + 3)$ describes this situation, where $w$ is the weight of the puppy now. How much does the puppy weigh now?

\[
6\left(\frac{1}{6}w + 3\right) = 6 \cdot \frac{1}{3}(w + 3)
\]

\[
6\left(\frac{1}{6}w + 3\right) = 2(w + 3)
\]

\[
w + 18 = 2w + 6
\]

\[
w - w + 18 = 2w - w + 6
\]

\[
18 = w + 6
\]

\[
12 = w \quad \text{The puppy weighs 12 pounds now.}
\]

---

1. **In the Example, how much will the kitten weigh if it gains 3 pounds? Show your work.**

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