Algebra Notes SOL 4 - Suffolk City Public Schools
Algebra Notes SOL 4.22
• Several different properties of arithmetic relationships remain true regardless of the numbers.
• Letters will be used instead of numbers and algebra is finding the value of the letter. Any letter can be used.
• The commutative property for addition states that changing the order of the addends does not affect the sum (e.g., 4 + 3 = 3 + 4).
• Similarly, the commutative property for multiplication states that changing the order of the factors does not affect the product (e.g., 2 ( 3 = 3 ( 2).
• The associative property for addition states that the sum stays the same when the grouping of addends is changed [e.g., 15 + (35 + 16) = (15 + 35) + 16].
• The associative property for multiplication states that the product stays the same when the grouping of factors is changed [e.g., 6 ( (3 ( 5) = (6 ( 3) ( 5].
• Recognize that the equals sign (=) relates equivalent quantities. Meaning both sides of the equal sign has to equal exactly the same amount!
• Write number sentences (equations) to represent equivalent mathematical relationships.
o Examples: 4 ( 3 = 2 ( 6
o 6 X ___ = 3 X 8
o Now write three of your own…check with your neighbor to see if you are correct.
• Identify number sentences that show appropriate use of the equals sign.
o Which is correct or incorrect and why?
1. 6 X 5 = 5 X 7
2. __ X 4 = 8 X 3
3. 12 ÷ 2 = 6 X __
Basic Algebra Problems: You’re just filling in the blank or finding the value of the letter.
(Hint: use your answers to help find the value of n.)
1. 14 + n - 2 = 18
a. 4
b. 6
c. 8
d. 10
2. (4 X 2) + 5 = n
a. 9
b. 11
c. 13
d. 15
3. 72 ÷ n = 9
a. 10
b. 8
c. 6
d. 5
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Strategy:
Plug It In!
Plug It In!
Put each answer choice into the equation until it creates equal quantities on both sides.
Strategy:
Please Excuse My Dear Aunt Sally
P = parenthesis
E = exponents
M = multiply
D = divide
A = add
S = subtract
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