Problem 8 Simplify each expression. \(7 ... [FREE SOLUTION]

Chapter 1: Problem 8

Simplify each expression. \(7 t+18-4\)

Short Answer

Expert verified

7t + 14

Step by step solution

Group constant terms together

Identify and group the constant terms (the terms without the variable). In this expression, the constants are 18 and -4.

Perform the arithmetic operation on constants

Add the constants together: 18 - 4 = 14

Combine variable term and simplified constant term

The expression now has the simplified constant term and the variable term. So, the simplified expression is: 7t + 14

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Basics of Algebra

Algebra is a core branch of mathematics that deals with symbols and the rules for manipulating those symbols. The symbols (often letters) represent numbers in equations and expressions.

Here are a few fundamental concepts to get you started:

**Variables:** These are symbols (like `t` in our exercise) that stand for unknown numbers.
**Expressions:** Combinations of variables and numbers using arithmetic operations.
**Equations:** Statements that relate two expressions by an equality sign (e.g., `3x + 5 = 11`).

For example, in our given exercise `7t + 18 - 4`, `t` is the variable, and the rest are constants we need to simplify.

Handling Constant Terms

Constant terms are the numbers in an algebraic expression that do not change because they do not have variables. They can be added, subtracted, multiplied, or divided.

**Step-by-step with example:**
1. **Identify the constant terms:** In `7t + 18 - 4`, the constants are `18` and `-4`.
2. **Group the constants:** Align constants together to simplify the process.
3. **Perform arithmetic operations:** Compute the result of adding or subtracting the constants. Here, we have `18 - 4`, which equals `14`.

Basic Arithmetic Operations with Variables

Simplifying algebraic expressions often involves performing basic arithmetic operations. These include addition, subtraction, multiplication, and division.

**Example with our exercise:**

**Addition/Subtraction:** Combine constants. For `18 - 4`, we subtract to get `14`.
**Combining results with variables:** Finally, place the simplified constant term and the variable term back together. So, `7t` remains as it is, and our simplified expression becomes `7t + 14`.

That's it鈥攜ou've simplified the algebraic expression!

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91影视

Simplify each expression. \(7 t+18-4\)

Short Answer

Step by step solution

Group constant terms together

Perform the arithmetic operation on constants

Combine variable term and simplified constant term

Key Concepts

Understanding Basics of Algebra

Handling Constant Terms

Basic Arithmetic Operations with Variables

One App. One Place for Learning.

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