Objective(s):
By the end of this lesson the student will be able to: translate
a word sentence into a mathematical expression. 
PreClass
Assignment: Completion of Basic
Algebra  Lesson 1
Resources/Equipment/Time Required:
Outline:
In the first
lesson, you learned that numbers and variables form sentences, or algebraic
"expressions." When you take information from a sentence and turn it into
a mathematical expression, it is called "translating."
A place to
begin:

When you write
algebraic expressions, use +, , and = signs. For division, use / , the
same way you know that when you see a fraction, it means to divide the
top number by the bottom number.

For multiplication,
write the expression with no symbol or sign between them as the X (multiplication)
symbol can be confused with the variable x. For example 3 times the variable
y should be written 3y. You can also use parentheses to indicate multiplication.
This is especially useful in longer problems such as (3y)(42x).

When you want
to multiply something AFTER another expression has been done first, use
parenthesis. For example, if you want to add x and y and THEN multiply
the result by 7, write it this way: 7(x + y).

To translate from
language to a math expression, read the sentence carefully. Then decide
what operations it will take to reach a solution. Write this into an algebraic
expression.
Let's Get Started:
Here is the
word problem:
I am stocking
shelves at a Tshirt store. I have been given eight boxes of Tshirts.
There are 25 Tshirts in each box. My instructions are to take one Tshirt
from every box and set it aside to be given to the poor. How many Tshirts
will be left for me to put on the store shelves after I sort out the Tshirts
to be given to the poor?
Here is the
algebraic expression:
8(251)
8(24)
192
If you don't
know the number of Tshirts in each box, then substitute the variable x
for that. Then the expression would look like this:
8(x  1)
Now it's time
for you to try a few.
Assignment(s)
including Answer key:
EXERCISE:

Katie is 21 years
old. Write an algebraic expression that tells how old she will be in five
years. Let x represent that age. Solve from your expression.

One hamburger
costs x cents. Write an algebraic expression that tells how much 4 hamburgers
will cost.

Sandy is 21 years
old. Al is five years older. How old will Al be in five years? Let x represent
Al's age in five years. Solve for x.

I have ten hats
that cost $47.50 for all of them. Write an algebraic expression to show
how much one of those hats cost, letting y represent the answer. Solve
for y.

I have ten hats
that cost $47.50 for all of them. How much will I have to sell EACH hat
for to make a profit of $1 on each? Set it up in an algebraic expression
to solve.
ANSWER KEY Click
Here:
PreRequisite
To: Basic
Algebra  Lesson
3 Solving for X
