Parts of an Expression

August 31, 2015

Standards

Interpret expressions that represent a quantity in terms of its context.MGSE9-12.A.SSE.1a 

Interpret parts of an expression, such as terms, factors, and coefficients.MGSE9-12.A.SSE.1b 

Interpret complicated expressions by viewing one or more of their parts as a single entity. MGSE9-12.A.SSE.1

Student Will Be Able To...

Identify the terms, bases, exponents, coefficients, and factors of a given expression

Determine the real world context of the variables in an expression

Identify the individual factors of a given term within an expression

Explain the context of different parts of a formula

Writing Expressions

• When solving problems, there are times when we are not given number but must take the words and turn them into algebraic expressions. Using these expressions, we can determine the solution of our problem.

• Algebraic Expression: One or a group of mathematical symbols representing a number or quantity containing at least one variable

• Examples:

2x + 4 3x

x – 12 4/ 2x

Breaking down the

Expression

• Variable - a letter or symbol representing a varying quantity

• Coefficient - a number multiplied by a variable

• Term - a number, a variable, or a product of both. Separated by operations symbols.

• Constant - a term that has a fixed value and does not contain a variable.

• Exponent - a small number placed to the upper-right of a number. Shows the number of times the base number is multiplied by itself

• Base - the number that the exponent is attached.

• Factor - a whole number that divides exactly into another number.

In order to write an expression, you

must know the different

components.

Example

•Use the expression shown to identify the different components.

2x2 + 4x – 8

And the Answer is…

• Terms:

2x2 , 4x, 8

• Coefficients:

2, 4

• Variable:

x

• Constant:

8

• Base:

x

• Exponent:

2

Operation TermsAs we venture closer to creating algebraic expressions, we must look at the words that will aid in our creation of the

expressions. Below is a list of possible words you could see to determine the operation needed in the expression.

• Addition sumincreased bymore thantogetherplusaddtotalgreater than

• Multiplication multiplyproducttimesof percent of"twice""double""triple""half"

Examples

• x more than 7

• three times a number plus 16

• one fifth of a number

• 18 decreased by 3 times d

• 20 divided by t to the fifth power

• 7 + x or x + 7

• 3x + 16

• 18 – 3d *remember that order DOES matter in subtraction! 18 – 3d is not the same as 3d – 18

• 20 ÷ t5 or

Classwork

• Using the following, answer the questions on your own. When given permission, share your answers with your neighbor. Afterward, we will discuss your findings together.

Interpreting Expressions Worksheet

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