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Mth 60 Day 4
2.1a, 2.1b
Test #1
• Friday – covers everything from Day 1
• Practice Exams on Hawkes…found in
WebTest/take an assigned…
• Tests – ONLY ONE TRY – No “do-overs!”
Variables & Algebraic
Expressions
2.1a
Definitions
• Variable: a symbol representing a number or a
set of numbers. Ex: Φ, β, α, X, Y, Z…
• Constant: a symbol representing a fixed
quantity. Ex: π, 2, -17…
• Algebraic expression: a collection of at least
one variable, constants, grouping symbols and
mathematical operations (+, -, x, /)
Definitions
• Term: any piece or part of the expression
involving only multiplication and/or division
with constants and/or variables.
• Variable Term: an algebraic expression
containing at least one variable. Ex: -99x, ½ y
• Constant Term: an algebraic expression
without a variable. Ex: -1/3, 77, 18
• The sign preceding (before) the term is part of
the term. Ex: 47 xy  15 z  18
Simplifying Expressions
2.1b
Simplify Like Terms
Like terms – all terms that are constants or
terms that contain the same variable(s) with the
same power
4x+6xy-7x2y+9y2x
5-4y-2+9y – rearrange
Simplify (verb)
5 4y  2  9y
Try it…
• Be careful with signs…
4 x  2  3x
2 x  2 y  5x  6 x
2
2
2
Distributive Property (Law)
If a, b, and c are any real numbers,
variable or expression, then
a  b  c   ab  ac
2(3  4)  2(3)  2(4)
Distributive Property
• The Distributive Property is used to remove
grouping symbols from an expression/
equation before like terms are combined.
• EX: Simplify 4 x  5 y  3 2 x  7 y

Try it…


5  x  y   2  x  y 

Fraction Bar
• A fraction bar is a grouping symbol, similar to
parentheses. So combine like terms in the
numerator first.
EX: Simplify
3z  5 z
z
4
Try it…
m  5m
m
6
Summary
• Definitions – learn the language. Speak it!
Write it!
• Review rules for + - x / of signed numbers
Coming up…
• Test #1
– Due date October 18th is FIRM – early OK but NO
late.
– Photo ID required for SMART Lab Test.
• Day 5 Reading Guide – 2.1c
Exit Ticket
1. Simplify:
4 x  2  3x
2. Simplify:
4  x  5 y   32x  7 y 
3. Simplify:
x  3x
 5x
2
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