File Name: identifying terms coefficients and constants worksheet .zip
- 2.3: Evaluate, Simplify, and Translate Expressions (Part 1)
- terms, coefficient, constants
- combining like terms worksheet pdf
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2.3: Evaluate, Simplify, and Translate Expressions (Part 1)
In the last section, we simplified expressions using the order of operations. To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.
To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations. Notice that we got different results for parts a and b even though we started with the same expression. When we evaluate an expression, the value varies depending on the value used for the variable.
Both the dot and the parentheses tell us to multiply. We need to be careful when an expression has a variable with an exponent. Algebraic expressions are made up of terms.
A term is a constant or the product of a constant and one or more variables. The constant that multiplies the variable s in a term is called the coefficient. We can think of the coefficient as the number in front of the variable. An algebraic expression may consist of one or more terms added or subtracted. In this chapter, we will only work with terms that are added together.
Notice that we include the operation before a term with it. Then identify the coefficient of each term. Some terms share common traits. Look at the following terms. Which ones seem to have traits in common? Terms are called like terms if they have the same variables and exponents. All constant terms are also like terms. Terms that are either constants or have the same variables with the same exponents are like terms.
Look at the variables and exponents. We can simplify an expression by combining the like terms. Add the coefficients and keep the same variable. We will discuss the mathematical properties behind this later. When an expression contains more terms, it may be helpful to rearrange the terms so that like terms are together.
The Commutative Property of Addition says that we can change the order of addends without changing the sum. So we could rearrange the following expression before combining like terms.
Skills to Develop Evaluate algebraic expressions Identify terms, coefficients, and like terms Simplify expressions by combining like terms Translate word phrases to algebraic expressions.
Be prepared! Before you get started, take this readiness quiz. If you missed this problem, review Example 2. Evaluate Algebraic Expressions In the last section, we simplified expressions using the order of operations. Solution In this expression, the variable is an exponent.
Solution This expression contains two variables, so we must make two substitutions. Solution We need to be careful when an expression has a variable with an exponent.
Solution The expression has four terms. Definition: Like terms Terms that are either constants or have the same variables with the same exponents are like terms. Simplify Expressions by Combining Like Terms We can simplify an expression by combining the like terms. We can see why this works by writing both terms as addition problems.
Now it is easier to see the like terms to be combined. Identify like terms. Step 2. Rearrange the expression so like terms are together. Step 3. Add the coefficients of the like terms.
terms, coefficient, constants
It may help you to read Introduction to Algebra first. So people can talk about equations, there are names for different parts better than saying "that thingy there"! A Variable is a symbol for a number we don't know yet. It is usually a letter like x or y. A Coefficient is a number used to multiply a variable 4x means 4 times x , so 4 is a coefficient. Variables on their own without a number next to them actually have a coefficient of 1 x is really 1x. A Term is either a single number or a variable, or numbers and variables multiplied together.
combining like terms worksheet pdf
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In these lessons, we will learn what are terms, variables, coefficients and constants in algebra. The following diagrams give examples of equations, expressions, terms, coefficients, variables, constants. Scroll down for examples and solutions. List the terms. Identify the constant term.
A polynomial is an algebraic expression consisting of variables and non negative exponents, that involve operations of addition, subtraction and multiplication.