Download 1.3 Algebraic Expressions.notebook

1.3 Algebraic Expressions.notebook
August 25, 2016
1.3 Algebraic Expressions
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 25, 2016
Recall the order of operations:
P
E
M
D
A
S
Example Your class will be selling carnations as a class project.
What is the class's income after it pays the florist a flat fee of
$200 and sells x carnations for $2 each?
Aug 17­11:23 AM
Examples: Evaluate each expression for the given value of the variables.
1.) -5(x + 2y) + 15(x + 2y); x = 7, y = -7
2
2
2.) x - y ; x = √2, y = -3
4(y - 2)
t
Example The expression 1000(1.1) 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 25, 2016
Like Terms:
Examples Simplify by combining like terms.
2
2
1.) 4x + 5x - 7x - 10x + 4
2
2
3.) x + x + 2x -6(x + 4)
2
2.) 6(q - 2) - 2(q + 6q)
2
4.) x + x - 2x + 3x
4 2 5
7
2
Aug 17­12:48 PM
Homework: pages 22-24, #7-73 odd
May 18­12:37 PM
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1.3 Algebraic Expressions.notebook
August 25, 2016
1.2-1.3 ICE
Name: ________________
Grader: __________________
10
Name the property of real numbers illustrated.
1.) 3 4 = 4 3
2.) -5(x + y) = -5x - 5y
_____________
_________________
3.) 4+(8+7) = (4+8)+7
_______________
Write an algebraic expression to model the situation.
4.) Five more than a number x
5.) Four times the sum of x and y
______________________
_________________________
Evaluate each expression for the value of the variables.
2
6.) 4y - 6(x + y); x = -2, y = 4
6.) _________
2
2
2
2
7.) Combine like terms. ½(x - y ) - ¾(x + y )
7.) __________
Aug 17­1:05 PM
8.) Explain the difference between a constant and a coefficient.
9.) 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.
10.) Write an example of an algebraic expression that has a nonnegative
value regardless of the value of the variable.
May 18­12:26 PM
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