Uncovering the Mystery: Lesson 6.1 Algebraic Expressions Answer Key

Introduction

As a student, you must have encountered algebraic expressions in mathematics. Algebraic expressions are essential in algebra as they involve variables and operations like addition, subtraction, multiplication, and division. They are essential in solving real-world problems, making them a crucial concept to understand. In this article, we will dive into lesson 6.1 algebraic expressions and cover the answer key.

Lesson 6.1: Algebraic Expressions

Algebraic expressions consist of variables, constants, and operations. A variable is a letter used to represent a value that can change. A constant is a numerical value that does not change. There are four operations in algebra, which are addition, subtraction, multiplication, and division.

Example 1

Consider the algebraic expression:
a + b – 2
where a = 3 and b = 5
Now, substitute the values for the variables:
3 + 5 – 2 = 6
Therefore, the value of the expression is 6.

Example 2

Consider the algebraic expression:
6x + 4y
where x = 2 and y = 5
Now, substitute the values for the variables:
6x + 4y = 6(2) + 4(5) = 12 + 20 = 32
Therefore, the value of the expression is 32.

Answer Key

Now that we have gone through the concept of algebraic expressions, it’s time for the answer key. Below are the answers to lesson 6.1 algebraic expressions.

Question 1

Evaluate the algebraic expression for x = 2 and y = 4
2x + y – 3
Substitute the values for the variables:
2(2) + 4 – 3 = 5
Therefore, the value of the expression is 5.

Question 2

Evaluate the algebraic expression for x = -3 and y = 2
-4x – 3y + 6
Substitute the values for the variables:
-4(-3) – 3(2) + 6 = 12
Therefore, the value of the expression is 12.

Question 3

Evaluate the algebraic expression for x = -1 and y = -2
-5y – 2x + 4
Substitute the values for the variables:
-5(-2) – 2(-1) + 4 = 12
Therefore, the value of the expression is 12.

Conclusion

Algebraic expressions are essential in algebra, and having the necessary skills to evaluate them is crucial. The answer key to lesson 6.1 algebraic expressions has provided the perfect opportunity to test your skills. Remember to master the fundamental concepts and practice regularly to excel in algebra.