Download Evaluate the expression for x = 3, x = -1

Sept. 1, 2011
Lori Simonelli
Text: Prentice Hall Mathematics, “Algebra 2”
Chapter 1 Tools of Algebra
Section 1-2 Algebraic Expressions
Objective 1: Students will be able to evaluate algebraic expressions.
Objective 2: Students will be able to simplify algebraic expressions.
Standard: 2.1.11.A, 2.2.11.A, 2.8.11.D
Essential questions: What is the difference between simplify and evaluate?
What is the basic procedure to solving for an unknown variable?
Warm-up: Page Pssa Momentum
Motivation/Readiness:
Evaluate the expression for x = 3, x = -1
-x2 - 2(x + 1)
Review the following terms:
variable: a symbol, usually a letter, that represents
one or more numbers.
Examples:
Algebraic/variable expressions:
contains one or more variables.
Evaluate: Substituting a number for a variable and
follow order of operations.
Term: a number, a variable, or the product of both.
Coefficient: the numerical factor of a term.
Like terms: contain the same variables with the same exponent.
Simplify: Combine all like terms and reduce any fractions.
Order of Operations:
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Ex 1. Evaluating the Algebraic Expression for x = 4 and y = -2
(hint: put parenthesis around any negative values)
c. x + 2x ÷ y - 2y
b. 3x - 4y + x - y
a. x + y ÷ x
Ex 2. Evaluating an Algebraic Expression with Exponents
For c = -3 and d = 5
2
2
a. c - d
b. c(3 - d) - c2
c. -d2 - 4(d - 2c)
Ex 4. Combining like terms
b. 5z2 - 10z - 8z2 + z
a. 3k - k
d. 2x2 + 5x - 4x2 + x - x2
c. -(m - n) + 2(m - 3n)
e. -2(r + s) - (2r + 2s)
f. y(1 + y) - 3y2 - (y + 1)
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