Variables and Expressions

Presentation

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Mathematics

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6th - 8th Grade

•

Practice Problem

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Easy

•

CCSS

6.EE.A.2C, 6.EE.A.2B, HSA-SSE.A.1A

Standards-aligned

Nicole Cargal

Used 42+ times

FREE Resource

12 Slides • 16 Questions

Variables and Expressions

Unit 1

Expression

Expression: A math statement w/ at least one variable and/or numbers and operation symbols (Does NOT contain an "=" SIGN)

Variable: A symbol/letter that takes the place of an unknown number

Coefficient: A number multiplied by a variable.

Constant: a number on its own, does NOT change or have a variable

Multiple Choice

In the expression

5w^2-6x+13

, what is 13?

variable

constant

coefficient

operator

Multiple Select

Select the coefficients of the expression: $3x^2-14x+8$

-14

Fill in the Blanks

Type answer...

Open Ended

Write an expression with two different variables, and a constant.

Type response here

Types of Expressions

-algebraic / numerical / variable expression is an expression built up from numbers and symbols

-Verbal expression is a mathematical statement that is expressed in words

Multiple Choice

sum means

add

subtract

multiply

divide

Multiple Choice

The difference of

add

subtract

multiply

divide

Multiple Choice

the product of means

add

subtract

multiply

divide

Multiple Choice

the quotient of means

add

subtract

multiply

divide

Steps to translate a verbal expression to an algebraic expression

Read each statement
Identify the math terms and keywords in the statement (ie, variables, coefficient, constants, operations, etc.)
Translate all the terms to an algebraic expression, being sure that you write them in correct order to what the statement is asking
Reread your algebraic statement and make sure it is what the original statement is asking

Words to look for

Many words and phrases suggest mathematical operations . The following common words and phrases indicate addition, subtraction, multiplication, and division.

Open Ended

write the algebraic expression for:

Kim has 7 more than 5 times the amount Sylvia has.

Type response here

Open Ended

write the algebraic expression for:

The length of a rectangle is 3 feet less than 4 times its width.

Type response here

Open Ended

Write an expression to represent how much a realtor will earn at a 6% commission on a house that costs x dollars.

Type response here

Making a Word Problem using an expression

Step 1: Identify the variables.

Step 2: Identify the coefficients for any of the variables.

Step 3: Identify the constant(s), if any, in the expression.

Step 4: Identify the operation(s) that are used in the expression.

Step 5: Identify any possible formulas that may have been used to create the expression.

For example: 3x+30

Identify variables: x
Identify coefficients: 3
Identify constants: 30
Identify operation: terms are being added, if talking about money, 3x is being increased by 30.
Identify possible formulas: none

3x + 30

Paul is the delivery driver for a local pizza shop. He earns $3 for each customer that he delivers to in the area. He also earns a flat rate of 30 dollars per shift.

The 'X' in this problem represents what?

Multiple Choice

Write a word problem that represents the algebraic expression:

5x+40

A plumber makes $40 an hour plus a $5 flat rate per job.

A cowboy pays $40 to enter a rodeo but makes $5 per entry.

A waitress makes 5% tips and $40 dollars an hour.

An electrician charges $40 for showing up to a job plus $5 per hour spent on the job.

Solving Expressions when given variables

Substitute any numbers for the given variable/s
Use order of operations and solve

Multiple Choice

Evaluate when x=6

15-x

Multiple Choice

Evaluate when a = 4, b=2 and c=16

a + b

Multiple Choice

Evaluate when a = 4, b = 2 and c = 16

216

Poll

Stoplight Review: How do you feel abou today's topic?

Green Light - Full Speed Ahead

Yellow Light - I'll get there slowly with practice

Red Light - I don't know where you are at?

Variables and Expressions

Unit 1

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