Algebra can be a tricky subject, particularly when it comes to manipulating equations or understanding the implications of algebraic operations. Simplifying expressions is the process of reducing complex equations to a simpler form. In this article, we’ll be looking at how to simplify the expression 5t + 3t + 7t + 5 + 8 + 3t.
Step 1: Understanding What We’re Dealing With
The expression 5t + 3t + 7t + 5 + 8 + 3t is a combination of coefficients, variables and constants. The coefficients are the numbers (or fractions) that are multiplied by the variable, in this case 5, 3, and 7. The variable is the letter t, and the constants are the numbers 5 and 8.
Step 2: Combining Like Terms
In order to simplify the expression, we have to combine like terms, which are terms that have the same variable. Combining like terms means adding the coefficients in front of the variable. In this case, we have 5t, 3t, and 7t, so if we add them together we get 15t.
Step 3: Combining Constants
The next step is to combine the constants. This is done by simply adding the numbers together. We have 5 and 8, so when added together, we get 13.
Step 4: Combining the Results
The final step is to combine the results from Step 2 and Step 3. This is done by simply adding the two together to get 15t + 13. This is the simplified expression for 5t + 3t + 7t + 5 + 8 + 3t.
Algebraic expressions can be complicated and difficult to understand, but through careful manipulation and understanding, they can be simplified. In this article, we looked at the process of simplifying the expression 5t + 3t + 7t + 5 + 8 + 3t. By combining like terms and constants, we were able to simplify the expression to 15t + 13.
Related Posts:
- Write Algebraic Expressions for Verbal Expressions Writing algebraic expressions for verbal expressions is a crucial skill for any student studying algebra. It is a fundamental part of understanding algebra as it allows you…
- In the Expression Above A is a Constant An expression is a combination of variables, numbers and operations which together form a mathematical statement. In an expression, a constant is a value that does not…
- Which Algebraic Expression Represents a Word Description? What is an Algebraic Expression?An algebraic expression is an equation that is used to represent a number or a set of numbers. It includes variables, constants, and…
- Solving Systems of Linear Equations by Graphing – 5.1 Answer… The 5.1 Answer Key provides an efficient way to solve systems of linear equations by graphing. This answer key can be used to check the accuracy of…
- Course 2 Chapter 5 Expressions Expressions are a fundamental part of mathematics. Expressions are used to represent numbers, mathematical operations, and other mathematical concepts. Expressions can be as simple as a single…
- Simplifying Expressions with Rational Exponents and Radicals… Simplifying expressions with rational exponents and radicals is a key concept in algebra. Rational exponents are a type of exponent that involves fractions, and radicals are the…
- Simplifying Expressions with Multiplication and Division When working in mathematics, one of the most important skills is being able to simplify expressions. Expressions can be complicated, but with the right knowledge and practice,…
- Course 1 Chapter 6 Expressions Expressions are a fundamental component of any programming language. In this chapter, we will explore the different types of expressions available in Course 1 and how they…
- Lesson 14 Equivalent Linear Expressions The 14th lesson of Algebra focuses on equivalent linear expressions – a major part of understanding algebraic equations. It is essential for students to understand what makes…
- Solving Linear Equations with Unspecified Constants What are Linear Equations?A linear equation is an equation with two or more variables that can be plotted on a graph as a straight line. It is…
- Simplify 3x 5 2x 9 4x 3 Simplifying expressions is a fundamental skill in math. It involves combining like terms and reducing a complex expression to its simplest form. Expressions can become quite complex,…
- 8 1 Practice Multiplying and Dividing Rational Expressions Rational expressions are algebraic expressions that consist of polynomials and fractions with polynomials in the numerator and denominator. They can be manipulated to simplify, multiply and divide.…
- Understanding the Expressions 76+n and 2n+26 Mathematics can often be intimidating and complicated, but understanding the basics of expressions can help simplify the process. Expressions are a combination of numbers, variables, and operations…
- How Owen Simplified the Expression r-8 s-5 Owen is an expert in simplifying complex mathematical expressions. He recently showed off his skills by simplifying the expression r-8 s-5. To do this, he used a…
- Lesson 1 Homework Practice: Solving Equations with Rational… Equations with rational coefficients are equations in which the coefficients are fractions. They can be difficult to solve, but with the right approach, they are manageable. In…
- 2.4 Practice A Algebra 2 Answers: Solving For Variables Algebra 2 can be difficult for some students. One of the most challenging topics is solving for variables. This lesson covers how to solve for variables and…
- In the System of Equations Above, A is a Constant A system of equations is a collection of two or more equations that contain two or more variables, which can be combined to create a solution. A…
