2. Writing Algebraic Expressions

3. The answer to an addition problem: __________
The answer to a subtraction problem: __________
The answer to a multiplication problem: __________
The answer to a division problem: __________
sum
difference
product
quotient

4. Algebraic Representations
Let a = 10 and b = 2
Sum:
Difference:
Product:
Quotient:
a + b
= 12
a - b
= 8
= 20 ab
Nothing new
yet, right?
= 5 a b 10 2

5. Two Important Concepts #1: Products ab means a times b
3x means 3 times x
Remember, 3 is the _________
and x is the _______ in the ____.
4gh means 4 times g times h
coefficient
variable
term

6. Product Practice Let a = 4, b = 2, c = 5, and d = 3 ab = ____
10acd = ____
b2d = ____
bc + ad = ____
3c2 = ____
100d = ____
4bd = ____
abcd = ____
7c = ____ 8 75 6
300
600 24 12
120 22 35

7. Two Important Concepts Remember, fractions mean division.
#2: Quotients
means a divided by b
means x divided by 4
Remember, fractions mean division. a b x 4 6 3
= 2, because 6 ÷ 3 = 2

8. Quotient Practice
Let w = 2, x = 5, y = 3, and z = 4 9 y
10w 4
= ____ 3
= ____ 5 z w 8y w 2 12 20 x xz 2 4 10 z2 2
180
wxy 8 6

9. 5y + 6 A letter used to represent one or more numbers:
The number which is multiplied by one or more variables or powers of variables in the term:
A term that has a fixed value and does not contain variables:
coefficient
variable
constant
5y + 6
The
number in
front of the
letters.
A number
by itself.
The
Letter.
Term Term
Algebraic Expression

10. A ___________________ is an expression that contains only
and
numerical expression 1
numbers 2 3 4 5 6 7 8 9 10
operations. + - x ÷
11 - 4
3 + 6
10 ÷ 5 9 3
8 x 2
7(9 + 3)

11. An __________________ is an expression that contains
algebraic expression
An __________________ is
an expression that contains
one or more
variables a b c r s t w x y z ab 3w
6m + n x y
t - 5
2(4 - v)

12. x 2 + 5y + 3x + 6 x y x 2 5y 3x 6 Consider the expression:
The variables are ___ and ___.
x 2 5y
There are four terms: ___, ___, ___ and ___. 3x 6

13. x 2 + 5y + 3x + 6 x 2 5y 3x 1 5 3 6 Consider the expression:
There are three variable terms: ___, ___ and ___.
x 2 5y 3x 1
They have coefficients of ___, ___ and ___. 5 3 6
There is one constant term: ___

14. expression algebraically:
Represent each
expression algebraically:
n - 4
Four less than a number: ______
Two more than twice as many
hours: ________
2h + 2 d 3
Work Backwards
One-third as many dollars: _____
Three times the sum of a number and five: _________
3(x + 5)

15. Algebra now, Geometry later …
The perimeter of a rectangle is the ‘distance around the outside’
The width
+ the length
+ the width
perimeter = w + l + w + l
p = 2w + 2l
+ the length