# Practice And Homework Lesson 74 Answer Key

## Introduction

In this article, we will discuss the answer key to practice and homework lesson 74. This lesson is designed to help students understand and apply the concepts they have learned in the previous lessons.

## Overview of Lesson 74

The lesson focuses on several key topics, including algebraic expressions, equations, and functions. Students are expected to apply their knowledge of these concepts to solve problems and answer questions.

### Algebraic Expressions

In this section, students learn about algebraic expressions and how to simplify them. They are taught how to combine like terms and use the distributive property to simplify expressions. Students are also introduced to the concept of variables and how to use them in expressions.

### Equations

The next section of the lesson focuses on equations. Students learn how to solve equations using inverse operations and how to check their solutions. They also learn how to write equations to represent real-world situations.

### Functions

The final section of the lesson introduces students to functions. They learn how to identify the domain and range of a function and how to evaluate functions for specific values. Students are also taught how to graph functions and how to identify key features of the graph.

## Answer Key

Now, let\’s take a look at the answer key to practice and homework lesson 74.

1. Simplify the expression: 2x + 3y – 4x + 2y

Answer: -2x + 5y

2. Solve the equation: 4x – 9 = 7x + 2

Answer: x = -11/3

3. Write an equation to represent the following situation: A company charges a $50 fee plus $15 per hour for consulting services.

Answer: y = 15x + 50

4. Identify the domain and range of the function: y = 2x – 3

Answer: Domain: all real numbers; Range: all real numbers

5. Evaluate the function for x = 4: y = 5x + 2

Answer: y = 22

6. Graph the function: y = -2x + 5

Answer: (insert graph here)

7. Identify the x-intercept and y-intercept of the function: y = 3x – 6

Answer: x-intercept: (2,0); y-intercept: (0,-6)

8. Find the slope of the line that passes through the points (2,5) and (4,9)

Answer: slope = 2

9. Write the equation of the line that passes through the points (1,3) and (5,9)

Answer: y = 2x + 1

10. Solve the system of equations: y = 2x – 1 and y = -3x + 4

Answer: x = 1, y = 1

## Conclusion

Practice and homework lesson 74 covers several important concepts in algebra. By understanding these concepts and applying them to problem-solving, students can develop strong mathematical skills. The answer key provided in this article can help students check their work and ensure they are on the right track.