Transcript 1.1 Translating Words into Algebraic Expressions

Translating Words into
Algebraic Expressions
Vocabulary
 Variable
 is a symbol usually a letter that represents one or more numbers.
 ex. A number - n
 Algebraic Expression
is a mathematical phrase that can include numbers, variables,
and operation symbols.
 ex. 2n - 1

 Equation
 is a mathematical sentence that uses an equal sign.
 ex. 4x + 5 = 25
Words for Addition
 Addition








More than,
plus,
sum,
total,
in addition to,
added to,
increased by
In all
Words for Subtraction
 Subtraction
 difference,
 minus,
 less than,
 more than,
 taken away,
 subtracted
Words for Multiplication
 Multiplication
 multiplied by,
 product,
 twice,
 Times
 Of
 each
Words for Division
 Division
 divided by,
 quotient,
 Split
 Per
State which Operation
each word describes.
1. In all
7. Less than
2. Difference
8. Split
3. Per
9. Sum
4. Of
10. Product
5. Total
6. Twice
How to Translate a sentence
into an expression
Step 1 Underline the
numbers and
variables
Step 3 Rewrite
The difference of n and 7
Step 2 - Box
the operations
n -
7
Example 2
Step 1 Underline the
numbers and
variables
Step 3 Rewrite
Seven more than n
n
+
7
Step 2 - Box
the operations
REMEMBER more than &
less than
come after!
With more than one
operation
 Two times a number plus 5
2
•
n
Or
2n +5
+
5
 Answers for BINGO cards: Puts these answers anywhere on
your BINGO Card

 2y2
y–3
3y
6y
2y – 4
y+2
3+y
y2 + 4
-6y
FREE 2y + 5
3y + 2
 y–3
2y
y–5
y2
2y + 2
2y + 4
2y + 3
y3
 4y – 3
6-y

Let’s Practice some
together!!
Twelve split into three
parts
The quantity Seven less
than four, all split into
three parts
A hiking company
charges $12 each hiking
trip. How much money
will they make if they
have h hiking trips.
My car gets 38 miles per
gallon. How many miles
I can drive if I have g
gallons of gas.
Tickets for a school carnival are
sold in two types of booklets.
The six-ticket booklet costs $3.00
and the twelve-ticket booklet
costs $5.50.
Emily had m dollars saved from
her allowance. At the end of the
month, the amount of Emily’s
savings had tripled. She then
bought a pair of jeans for s
dollars.
Equations
 Key Words [ is and equals]
Six more than four times a number is thirty eight
6 + 4 • n = 38
or
6 + 4n = 38
Let’s Practice Some More
Together!!
Two added to an
unknown number is the
same as four.
Three taken away from
an unknown number is
six.
A hot air balloon was floating at
a certain height, x, above the
ground. Then the balloon rose 25
feet to a height of 6,000 feet
above the ground.
Julie and Tameka collected cans of
food for a food drive at their school.
Julie collected 38 cans which was
more than three times the cans that
Tameka collected. How many cans
did Tameka collect?
Turn whiteboard around and
practice some more!!!
Gallery Walk Time!
Quick Polls
Keith has $500 in a savings
account at the beginning of the
summer. He wants to have
$200 in the account by the end
of the summer. He will
withdraw $25 each week for
food, clothes, and movie
tickets.
Clark scored 19 points.
Clark scored 12 points
more than Josh.
Adriana counted 8 fewer
birds on Tuesday than on
Thursday. She counted at
most 32 birds on Thursday.
How many birds were there
on Tuesday?
Rico has $5. Bagels cost
$0.65 each, and a small
container of cream cheese
costs $1. How many
bagels can he buy?