LP1- AlgebraicExps.notebook

LP1­ AlgebraicExps.notebook
December 13, 2013
Warm Up: State the differences between expressions
and equations.
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LP1­ AlgebraicExps.notebook
December 13, 2013
Algebraic Expressions
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LP1­ AlgebraicExps.notebook
December 13, 2013
Write the following statements as numbers:
– eight times a
– three times x times x
– the quantity of the sum of a and b, all multiplied by 4
– x divided by y²
Write the following numbers as statements:
– 4xy
– 5(x+y)
– 2x - 3y²
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LP1­ AlgebraicExps.notebook
term­
December 13, 2013
factor­
State terms in each expression:
State the factors in each expression:
1) x + 4y
1) ab
2) 2x² + xy
2) 2x(x + 1)
3) A ­ R
3) (r ­ 1)(2r + 1)
State whether the indicated value is a term or a factor:
1) 2x² ­ 3xy
y is a ______________
2) 7x ­ 4y
7x is a _____________
3) 4x(a + 2b)
4x is a _____________
4) ­2y(3y ­ 5)
(3y ­ 5) is a __________
5) 3x²y + 8y² ­ 9 3x²y is a _____________
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LP1­ AlgebraicExps.notebook
December 13, 2013
EVALUATING FORMULAS...
what does this mean?
Examples:
• In retail M = R ­ C is a formula used to find the mark­up, M, in terms of R, retail selling price, and C, the original cost. Find the mark­up if R = $25 and C = $21.
• Find A = x + 2y given that x = 5 and y = 3.
• Find P = 2(8 + x) for x = ­3.
• Find P = 0.433H when H = 11.4 Round your answer to three significant digits.
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LP1­ AlgebraicExps.notebook
December 13, 2013
What is the difference between an expression and an equation?
Homework: p. 373­374 A)3­5, B)6­8, C)2­4, E)8
A) Write the following using algebraic notation.
3) (a + c) times (a ­ c)
4) 4x times (x + 6)
5) (n + 5) divided by 4n
B) For each algebraic expression, tell whether the portion names is a term of a factor.
6) 5m(m + n)
(m + n) is a _______
7) 2y(3y² ­ 6)
2y is a _______
8) 4x²y + 6xy² + 2y³
6xy² is a _______
C) Find the value of each of these formulas for x=2, y=3, z=4, and R=5.
2) D = 2R ­ y
3)T = x² + y²
4) H = 2x + 3y ­ z
E)Practical Problems.
8) Electronics. The total resistance R of two resistances a and b connected in parallel is R = ab/(a + b). What is the total resistance if a = 200 ohms and b = 300 ohms?
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LP1­ AlgebraicExps.notebook
December 13, 2013
Exit Card
Grade: «grade»
Subject:«subject»
Date: «date»
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LP1­ AlgebraicExps.notebook
December 13, 2013
1 What is the difference between an expression and an equation?
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