Algebraic Expressions Review

Algebraic Expressions Review

#1

Write an expression for

How many days are in 4 weeks?

Ask: Can I find the answer?

If yes, then it will be a numeric expression.

Next think HOW?

What are the steps?

Answering 28 is answering the question.

It is not the same as writing a numeric expression.

Break it down!

We know

there are 7 days in 1 week.

Therefore

There are 7 x 4 days in 4 weeks.

7 x 4

The expression for

"The number of days in 4 weeks?"

is the numeric expression 7 x 4.

#2

Write an expression for

How many days are in w weeks?

Ask: Can I find the answer?

No - Not unless you know the value of w - and we do not.

Break it down!

We do not know how many weeks. (We do not know the value of w.)

We do know there are 7 days in 1 week.

and

There are 7 x 4 days in 4 weeks.

There are 7 x 5 days in 5 weeks.

There are 7 x 2 days in 2 weeks.

Therefore,

There are 7 x w days in w weeks.

We are not quite done.

7 x w

is not the proper form for algebra.

In algebra, we do not use a multiplication sign

between a number and a variable.

Therefore,

the answer to

"The number of days in w weeks" is

7w

Multiple Choice

A "product" is

• The answer to an addition problem.

• The answer to a subtraction problem.

• The answer to a multiplication problem.

• The answer to a division problem.

Multiple Choice

A "sum" is

• The answer to an addition problem.

• The answer to a subtraction problem.

• The answer to a multiplication problem.

• The answer to a division problem.

Multiple Choice

A "quotient" is

• The answer to an addition problem.

• The answer to a subtraction problem.

• The answer to a multiplication problem.

• The answer to a division problem.

Multiple Choice

A "difference" is

• The answer to an addition problem.

• The answer to a subtraction problem.

• The answer to a multiplication problem.

• The answer to a division problem.