When evaluating expressions what math rule do we need to remember to follow?
Order of Operations
Name at least one property of operations used to write equivalent expressions
What is...
the commutative property (of + or x)
a+b=b+a
the associative property (of + or x)
(a+b)+c=a+(b+c)
the distributive property (across + or -)
a(b+c)=a(b)+a(c)
Simplify 7.7w - 4.6w
What is 3.1w?
How do equations differ from expressions?
equations contain an equal sign (you can solve to find x) while expressions do not (you can plug values in for x).
Both can include #s/variables/operations
Evaluate the expression
3b - b when b=7
What is 14
8(4+2) = ?
48
Simplify 12y + 4 - 3y
What is 9y + 4?
Identify the variable or variables in the following expression:
6m + 17 - x2
What is m and x?
Evaluate the expression
6(½x - 1) when x=4
What is 6?
5(x - 3)
5x - 15
simplify 4x + 15 - 3x + 10
what is x + 25?
Identify the coefficient or coefficients in the following expression
-8b + 5.6
What is -8?
Evaluate the expression
x2 + 3x for x=1.5
What is 6.75
7 + 9(2x - 3)
7 + 18x - 27 (unsimplified)
OR
18x - 20
simplify
z4 + z4 + z4 + z4
what is 4z4
How many terms are in the following expression
7xy + 3y - z + 12
What is 4 terms
7xy, 3y, z, 12
Evaluate x2 + 2y ÷ w + 3z
for w=2, x=5, y=8 and z=3
42
How can you check to see if two algebraic expressions are equivalent?
Substitute a number for the variable---if they are equivalent the expressions will have the same value.
simplify 2p + ¾p + 6 - p - 3½
What is 1¾p + 2½
Guppy$3 Loach
$4
Platy $2 Tetra
$5
Mr. Bolden bought p platys and paid with a $10 bill. Write an algebraic expression to represent how much money he got back.
What is 10 - 2p?