Download interpreting-and-writing-algebraic-expressions

1.
How long does a car traveling at 70 mph
take to travel 88 miles, in hours?
1.257 hours
2.
How many terms are in the expression:
36x + 27xy – 18y – 9?
3.
4
5 word prediction. Guess the meanings of the
following words: Variable, expression, base,
constant, & factor.
No notes
Kilo
Hecto Deka BASIC Deci
Centi
Milli
CCCA Unit 1
Why
is it important to understand
the “language” of mathematics?


Identifying Parts
 Can
have variables, numbers, addition,
subtraction, multiplication, division, parenthesis,
square roots, exponents…
 Examples:
x2
3  x  2
 5b  7 c  d
5 xy
 Symbols
or letters used to represent an
unknown
 Examples:
x



 How
many items are being added, subtracted,
divided
 Examples:
2
5a  2 xy  3
3
P  2x
2
a b
4
 Same
variable raised to the same power
 Examples:
2
2
5x y and 8 x y
2
7y and 22y
2
 The
number in front of a variable
 Examples:
123 xy
3 2
123
9xy z
9
x
1
 The
number up in the air next to a base
 The number of times you multiply something
times itself
 Examples:
3
3
12
12
2
x
4
3 y  7
4
 What
the exponent sits on
 The part that has been raised to a power
 Examples:
3
2
12
x
2
x
4
3 y  7
y
A
number that has no variable
 It can be positive or negative
 Examples:
42
-42
3x  5
5
2
4
5 x  3y  8
-8
 Items
that are being multiplied together
 Can be numbers, variables, parenthesis
 Examples:
6
1 and 6…. Or 2 and 3
9 xy 9 and x and y
 x  2  y  3  (x + 2) and (y – 3)
3  z  9  3 and (z – 9)
 Simplify
inside parenthesis
 Take care of exponents
 In order from left to right, multiplication or division
 In order from left to right, addition or subtraction
 Examples:
5  3  2  1  4
2
-18


A
variable is a symbol used to represent a
number in an expression or an equation.
An algebraic expression is a mathematical
expression that consists of variables, numbers
and operations.
Sum
Plus
Add
More
Than
Increased
Difference
Minus
Decreased
Less
Than (swaps the order)
Quotient
Half
Divide
by
Product
Twice
Double
Triple
Square
Cubed
To
the power of
Raised to a power
The sum of a number and 10
x + 10

Fourteen decreased by a number p

Seven less than a number t
The product of 9 and x squared
2
9x
9 less than g to the fourth power
4
g –
9
8 + 3x
Eight increased by three times x
1.
2.
3.
The sum of nine and a number x
The product of 9 and a number n
Thirty-two divided by a number y
1.
2.
3.
4.
5.
6.
7.
8.
The difference of 28 and a number
One-third the square root of a number
Fifteen less than twice a number
seven divided by twice a number
five more than twice a number
three times a number decreased by 11
The product of 5 and the cube of a number
increased by the difference of 6 and x
Half the sum of x and y decreased by one-third of y
 Hailey
Saunders has $1000 to distribute to her
employees as a bonus. How much money will each
employee get?
 Jake’s electric company charges $45 per hour and
spends $20 a day on gasoline. Write an algebraic
expression to represent his earnings for one day.
 Olivia makes $100 a day as a math tutor. Write an
expression for the amount she makes in d days.
WORKSHEET
Writing Algebraic Expressions
Worksheet
Write the following phrases as an algebraic expression.
1.
2.
3.
4.
Thirty divided by seven times a number
Jenny earns $30 a day working part time at a
supermarket. Write an algebraic expression to
represent the amount of money she will earn in d
days.
The product of nine and a number, decreased by six
Three times a number, increased by seventeen