Download 1.3 Algebraic Expressions.notebook

1.3 Algebraic Expressions.notebook
August 23, 2013
1.3 Algebraic Expressions
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Matching Activity:
Name:
Objectives: Students will be able to evaluate and
simplify algebraic expressions.
Examples:
Expression in Words
Algebraic Expression
Aug 17­11:00 AM
Expression in Words
Algebraic Expression
Aug 17­11:23 AM
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1.3 Algebraic Expressions.notebook
August 23, 2013
Recall the order of operations:
P
E
M
D
A
S
Examples: Evaluate each expression for the given value of the
variables.
1.) 4a + 7b + 3a -2b + 2a; a = -5, b = 3
Aug 17­11:23 AM
2.) -5(x + 2y) + 15(x + 2y); x = 7, y = -7
3.) x2 - y2 ; x = √2, y = -3
4(y - 2)
4.) The expression 1000(1.1)t represents the value of a $1000
investment that earns 10% interest per year, compounded annually
for t years. What is the value of the investment after 4 years?
Aug 17­12:43 PM
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1.3 Algebraic Expressions.notebook
August 23, 2013
Like Terms:
Examples Simplify by combining like terms.
1.) 10x + 5x - 7
2.) 4x2 + 5x - 7x2 - 10x + 4
3.) 6(q - 2) - 2(q2 + 6q)
4.) x + x2 + 2x2 -6(x + 4)
Aug 17­12:48 PM
1.2-1.3 ICE
Name: ________________
Grader: __________________
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Name the property of real numbers illustrated.
1.) 3 4 = 4 3
2.) -5(x + y) = -5x - 5y
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3.) 4+(8+7) = (4+8)+7
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Write an algebraic expression to model the situation.
4.) Five more than a number x
5.) Four times the sum of x and y
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Evaluate each expression
for the value of the variables.
6.) 4y2 - 6(x + y); x = -2, y = 4
Combine like terms.
7.) 6(x + y) - 7y + 5x
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8.) -(2x + 2y) - 2(-x - y)
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Aug 17­1:05 PM
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1.3 Algebraic Expressions.notebook
August 23, 2013
1.3 Algebraic Expressions
Homework
Name: ________________
Write an algebraic expression that models each word phrase.
1.) four more than a number b
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2.) the product of eight and the sum
of a number x and three
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Write an algebraic expression that models each situation.
3.) Kenny had $130, but is spending $10 per week
4.) The piggy bank contained $25 and $1.50
is added each day
____________
____________
5.) The expression 16t2 models the distance in feet that an object falls during the
first t seconds after being dropped. What is the distance the object falls during
each time?
a.) 1.25 seconds
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b.) 10 seconds _______________
Aug 17­1:24 PM
Combine like terms.
6.) -(3x + 4y) + 5x - 10y
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7.) 6(x2 - 2y) + 7y - 5(x2 - 17y)
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Evaluate each expression for the given value of the variables.
8.) y2 + 5x - 10x2; x = 9, y = √7
9.) 5(2k - 3) - 3(k + 4) ; k = -2
3k + 2
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10.) Suppose you need to subtract a from b but mistakenly subtract b
from a instead. How is the answer you get related to the correct
answer? Explain and support your answer with an example.
Aug 17­1:32 PM
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