Algebraic Expressions

Algebraic Expressions

By Sarah Johnson

Variable: the letter that represents an unknown number.

Coefficient: number in front of the variable. ​

Constant: a number that has no variable and is added or subtracted in the expression. ​

Terms: parts of the expression seperated by + and -signs. ​

Parts of the Algebraic Expression:

A mathematical phrase that contains numbers, letters, and operations.

​

Example: 3x + 4z - 12​

​Algebraic Expression

Parts of an Algebraic Expression

The number of terms in an expression can be one or greater.

Multiple Select

Which algebraic expressions have 3 terms?

• 14b - 2

• 2b + $$b^2$$  - y

• (b - 6)/2 + 21

• 2x - 3w + 10

What is the relationship between a coefficient and a variable?

3x

Coefficient: 3

Variable: x

• When a number and a variable are directly next to each other the operation is multiplication.

• The coefficient tells you how many of​ the variable there are:   

• ​Ex:    3b = b + b + b = 3∙b

  Ex:     6d = d + d + d + d + d + d = 6∙d​

• *Variables by themselves have a coefficient of one!

  Ex:     m = 1m = 1∙m

• When there is no number in front of the variable the number is 1.....

Subject | Subject

Some text here about the topic of discussion

Open Ended

In the space provided list the variables, coefficients, constants, and number of terms.

Open Ended

In the space provided list the variables, coefficients, constants, and number of terms.

Multiple Select

How else can I write the following algebraic expression?

9m

• m9

• m $$\circ$$  9

• m+m+m+m+m+m+m+m+m

• 9(m)

Multiple Choice

How many M's are found the following algebraic expression?

5m + 2m - 4

• 7

• 2

• 3

• 11