int math 2 section 2-4 1011
DESCRIPTION
Add and Subtract Variable ExpressionsTRANSCRIPT
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SECTION 2-4Add and Subtract Variable Expressions
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ESSENTIAL QUESTIONS
How are variable expressions simplified?
How are variable expressions evaluated?
Where you’ll see this:
Sports, recycling, population, detective work
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VOCABULARY1. Terms:
2. Like Terms:
3. Unlike Terms:
4. Simplify:
5. Combining Like Terms:
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VOCABULARY1. Terms: The parts of a variable expression that are separated
by addition or subtraction signs
2. Like Terms:
3. Unlike Terms:
4. Simplify:
5. Combining Like Terms:
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VOCABULARY1. Terms: The parts of a variable expression that are separated
by addition or subtraction signs
2. Like Terms: Have identical variable parts
3. Unlike Terms:
4. Simplify:
5. Combining Like Terms:
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VOCABULARY1. Terms: The parts of a variable expression that are separated
by addition or subtraction signs
2. Like Terms: Have identical variable parts
3. Unlike Terms: Have different variable parts
4. Simplify:
5. Combining Like Terms:
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VOCABULARY1. Terms: The parts of a variable expression that are separated
by addition or subtraction signs
2. Like Terms: Have identical variable parts
3. Unlike Terms: Have different variable parts
4. Simplify: Perform as many of the given operations as possible
5. Combining Like Terms:
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VOCABULARY1. Terms: The parts of a variable expression that are separated
by addition or subtraction signs
2. Like Terms: Have identical variable parts
3. Unlike Terms: Have different variable parts
4. Simplify: Perform as many of the given operations as possible
5. Combining Like Terms: When you simplify and add or subtract like terms
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EXAMPLE 1Add two terms to the list that are like terms.
a. 4x, 18x, -3.7x b. 17h2 , .98h2 , − 15h2
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EXAMPLE 1Add two terms to the list that are like terms.
a. 4x, 18x, -3.7x b. 17h2 , .98h2 , − 15h2
Sample: x, 7x, -2x
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EXAMPLE 1Add two terms to the list that are like terms.
a. 4x, 18x, -3.7x b. 17h2 , .98h2 , − 15h2
Sample: x, 7x, -2x Sample: h2 , 18h2 , − 4h2
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EXAMPLE 2Simplify.
a. 3 x + 8 x b. 2x + 4x2 + (−3x ) + (−10x2 )
c. 7( x + y) + 4( x + y)
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EXAMPLE 2Simplify.
a. 3 x + 8 x b. 2x + 4x2 + (−3x ) + (−10x2 )
c. 7( x + y) + 4( x + y)
11 x
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EXAMPLE 2Simplify.
a. 3 x + 8 x b. 2x + 4x2 + (−3x ) + (−10x2 )
c. 7( x + y) + 4( x + y)
11 x −6x2 − x
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EXAMPLE 2Simplify.
a. 3 x + 8 x b. 2x + 4x2 + (−3x ) + (−10x2 )
c. 7( x + y) + 4( x + y)
11 x −6x2 − x
11( x + y)
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EXAMPLE 2Simplify.
a. 3 x + 8 x b. 2x + 4x2 + (−3x ) + (−10x2 )
c. 7( x + y) + 4( x + y)
11 x −6x2 − x
11( x + y)
11x + 11 y
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EXAMPLE 3Simplify.
a. .1m − 1.1m b. 7 y + 4x − 7 y − 3x
c. 12x2 + 3 y − 6x2 − 2 y − 6x2
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EXAMPLE 3Simplify.
a. .1m − 1.1m b. 7 y + 4x − 7 y − 3x
c. 12x2 + 3 y − 6x2 − 2 y − 6x2
−m
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EXAMPLE 3Simplify.
a. .1m − 1.1m b. 7 y + 4x − 7 y − 3x
c. 12x2 + 3 y − 6x2 − 2 y − 6x2
−m x
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EXAMPLE 3Simplify.
a. .1m − 1.1m b. 7 y + 4x − 7 y − 3x
c. 12x2 + 3 y − 6x2 − 2 y − 6x2
−m x
y
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SOME IMPORTANT IDEAS
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SOME IMPORTANT IDEAS
Compare variable parts
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SOME IMPORTANT IDEAS
Compare variable parts
Work alphabetically, then highest power
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SOME IMPORTANT IDEAS
Compare variable parts
Work alphabetically, then highest power
Simplify first, then evaluate
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EXAMPLE 4Evaluate each expression when x = 2 and y = -3.
a. 6x2 + 3x2 b. 3x2 − y − x2
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EXAMPLE 4Evaluate each expression when x = 2 and y = -3.
a. 6x2 + 3x2 b. 3x2 − y − x2
9x2
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EXAMPLE 4Evaluate each expression when x = 2 and y = -3.
a. 6x2 + 3x2 b. 3x2 − y − x2
9x2
9(2)2
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EXAMPLE 4Evaluate each expression when x = 2 and y = -3.
a. 6x2 + 3x2 b. 3x2 − y − x2
9x2
9(2)2
9(4)
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EXAMPLE 4Evaluate each expression when x = 2 and y = -3.
a. 6x2 + 3x2 b. 3x2 − y − x2
9x2
9(2)2
9(4)
36
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EXAMPLE 4Evaluate each expression when x = 2 and y = -3.
a. 6x2 + 3x2 b. 3x2 − y − x2
9x2
9(2)2
9(4)
36
2x2 − y
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EXAMPLE 4Evaluate each expression when x = 2 and y = -3.
a. 6x2 + 3x2 b. 3x2 − y − x2
9x2
9(2)2
9(4)
36
2x2 − y
2(2)2 − (−3)
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EXAMPLE 4Evaluate each expression when x = 2 and y = -3.
a. 6x2 + 3x2 b. 3x2 − y − x2
9x2
9(2)2
9(4)
36
2x2 − y
2(2)2 − (−3)
8 + 3
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EXAMPLE 4Evaluate each expression when x = 2 and y = -3.
a. 6x2 + 3x2 b. 3x2 − y − x2
9x2
9(2)2
9(4)
36
2x2 − y
2(2)2 − (−3)
8 + 3
11
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EXAMPLE 4
c. x2 − 4 y − 2x2 + y
Evaluate each expression when x = 2 and y = -3.
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EXAMPLE 4
c. x2 − 4 y − 2x2 + y
−x2 − 3 y
Evaluate each expression when x = 2 and y = -3.
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EXAMPLE 4
c. x2 − 4 y − 2x2 + y
−x2 − 3 y
−(2)2 − 3(−3)
Evaluate each expression when x = 2 and y = -3.
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EXAMPLE 4
c. x2 − 4 y − 2x2 + y
−x2 − 3 y
−(2)2 − 3(−3)
−4 + 9
Evaluate each expression when x = 2 and y = -3.
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EXAMPLE 4
c. x2 − 4 y − 2x2 + y
−x2 − 3 y
−(2)2 − 3(−3)
−4 + 9
5
Evaluate each expression when x = 2 and y = -3.
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PROBLEM SET
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PROBLEM SET
p. 68 #1-43 odd, skip #13
“Use what talents you possess: the woods would be very silent if no birds sang except those that sang best.” - Henry Van
Dyke