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Big Idea:
-Graph, order, identify, and use
properties of real numbers.
Variable: a symbol, usually a letter, that
represents one or more numbers.
Ex: a, x, y
Algebraic Expression or Variable Expression: an
expression that contains one or more
variables.
Ex: a + 2b, 8x
Evaluate: when you substitute numbers for the
variables in an expression and follow the
order of operations.
Ex: 2x + 1 when x = 3
2(3) + 1
A)
B)
7 x  3xy for x  2 and y  5
(k  18)  4k for k  6
2
Term: a number, a variable, or the product of a
number and one or more variables.
Coefficient: the numerical factor in a term.
4 Terms
7x - 2y + 5- 3x
2
Coefficients: 7, -2, 5, -3

Like terms have the same variables raised to
the same powers.
5 xy  7 xy 
x y  8x y 
3
2
3
2


Ex 2: The expression 16t 2 models distance
in feet that an object falls in t seconds when
dropped. Find the distance given the time.
A) 3 seconds
B) 0.7 seconds

Ex 3: Simplify by combining like terms.
A) 7 + 10x – 9x
B) 4(2x + 1) - 10
C) 3x + y – x + 5y
D) -(3x +1) -2y
Ex 4: Find an expression for the perimeter of this
figure. Simplify.
c
c
2
d
d c
d
c
c
2
d