**Educational Website Content:**---**Practice #1:** At the movie theater, you bought a large popcorn and a soda for $18. The cost of the popcorn was $12. How much was the soda?**A.** Write an equation to represent the situation.**B.** Model the equation with algebra tiles below.**C.** Solve for the variable, the cost of the soda.---**Explanation of Content:**In this exercise, students are tasked with determining the cost of a soda bought along with popcorn at a movie theater. They must create an equation, model it with algebra tiles, and solve for the variable representing the cost of the soda.**Steps:**1. **Equation Writing:** Students should begin by setting up the equation. Let $ x $ be the cost of the soda. The equation based on the given scenario is: \[ 12 + x = 18 \]2. **Algebra Tiles Modeling:** The students are encouraged to visually represent this equation using algebra tiles, which can help in understanding the balance of the equation. Algebra tiles for the number $12$ and the total cost $18$ can be modeled, while the unknown $x$ will be represented by a different set of tiles.3. **Solving:** To find the cost of the soda, solve the equation: \[ x = 18 - 12 \] \[ x = 6 \]Therefore, the cost of the soda is $6.---This exercise helps reinforce skills in forming and solving linear equations, as well as using visual tools to aid in understanding mathematical concepts.

Given information: Two Item Popcorn and soda purchase both in $18, and the cost of popcorn in $12,…

Your lurn Practice #1: At the movie theater you bought a large popcorn and a soda for $18. The cost of the popcorn was $12. How much was the soda? A. Write an equation to represent the situation. B. Model the equation with algebra tiles below. C. Solve for the variable, the cost of the soda.

Your lurn Practice #1: At the movie theater you bought a large popcorn and a soda for $18. The cost of the popcorn was $12. How much was the soda? A. Write an equation to represent the situation. B. Model the equation with algebra tiles below. C. Solve for the variable, the cost of the soda.

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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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

**Educational Website Content:**

---

**Practice #1:** At the movie theater, you bought a large popcorn and a soda for $18. The cost of the popcorn was $12. How much was the soda?

**A.** Write an equation to represent the situation.

**B.** Model the equation with algebra tiles below.

**C.** Solve for the variable, the cost of the soda.

---

**Explanation of Content:**

In this exercise, students are tasked with determining the cost of a soda bought along with popcorn at a movie theater. They must create an equation, model it with algebra tiles, and solve for the variable representing the cost of the soda.

**Steps:**

1. **Equation Writing:** Students should begin by setting up the equation. Let $ x $ be the cost of the soda. The equation based on the given scenario is:

\[ 12 + x = 18 \]

2. **Algebra Tiles Modeling:** The students are encouraged to visually represent this equation using algebra tiles, which can help in understanding the balance of the equation. Algebra tiles for the number $12$ and the total cost $18$ can be modeled, while the unknown $x$ will be represented by a different set of tiles.

3. **Solving:** To find the cost of the soda, solve the equation:

\[ x = 18 - 12 \]
\[ x = 6 \]

Therefore, the cost of the soda is $6.

---

This exercise helps reinforce skills in forming and solving linear equations, as well as using visual tools to aid in understanding mathematical concepts.

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