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Transcript of 53 21 72. nt/listContent.jsp?course_id=_17440_1&content_id=_116960 1_1&mode=reset.
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Warm-Up (for later use)
Simplify the following:
53
21
72
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https://cobbk12.blackboard.com/webapps/blackboard/content/listContent.jsp?course_id=_17440_1&content_id=_1169601_1&mode=reset
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CCGPS Coordinate Algebra
1st Period
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Warm-Up
Guess the meanings of the following words:
VariableExpression
BaseConstant
Factor
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Essential Question
Why is it important to understand the “language” of mathematics?
CCCA Unit 1
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Definitions
Identifying PartsGuided NOTES
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Algebraic Expression
a mathematical phrase that contains variables, numbers, and operators (i.e.
addition, subtraction, multiplication, division, parentheses, square roots,
and exponents)
Examples:
√5 𝑥𝑦
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Variable
symbols or letters used to represent an unknown
Examples:
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Term
items that are being added, subtracted, or divided
Examples:2
2
5 2 3
2
a xy
P xa b
3 terms:5a2, -2xy, and 3
4 terms:P, -2x, a2, and b
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Like Terms
terms with same the variable raised to the same power
Examples:
and
and
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Coefficient
the number in front of a variable
Examples:
3 2
123
9
xy
xy z
x
123
9
1
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Exponent (Power)• the number up in the air next to a base• the exponent of a number tells you
how many times you multiply that number times itself
Examples:3
12
4
2
3 7
x
y
3
12
4
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Base• is what the exponent sits on
• the part that has been raised to a power
Examples:3
12
4
2
3 7
x
y
2
x
y
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Constant• a number that has no variable• can be positive or negative
Examples:
2 4
42
3 5
5 3 8
x
x y
-42
5
-8
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Factors• items that are being multiplied together
• can be numbers, variables, or what is inside the parentheses
Examples:
6
9
2 3
3 9
xy
x y
z
1 and 6…. Or 2 and 39 and x and y
(x + 2) and (y – 3)
3 and (z – 9)
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Order of Operations
1. Simplify what is inside the parentheses 2. Take care of exponents3. In order from left to right, multiplication
or division4. In order from left to right, addition or
subtraction
Examples: 25 3 2 1 4 -18
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Which is it?
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Translations
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ADDITION
Sum Plus Add More Than Increased Together
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SUBTRACTION
Difference Minus Decreased Less Than (swaps the order)
Take away
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DIVISION
Quotient Half Divide by
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MULTIPLICATION
Product Twice Double Triple Times
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EXPONENTS
Square Cubed To the power of Raised to a power
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TranslateThe sum of a number and 10
x + 10
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TranslateThe product of 9 and x squared
9x2
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Translate9 less than g to the fourth power
g4 – 9
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Translate
8 + 3xEight increased by three times x
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Translate and Solve
2. Four times a number plus 10 minus two times the same number is 6.
1. Five times a number increased by 5 is the same as 3 times the same number decreased by 7.
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HOMEWORK
Writing an Expression Worksheet
WORKSHEET