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

Lori Simonelli Sept. 1, 2011
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
-x 2 - 2(x + 1)
Review the following terms: Examples:
variable: a symbol, usually a letter, that represents
one or more numbers.
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:
Like terms:
the numerical factor of a term.
contain the same variables with the
same exponent.
Simplify:
Combine all like terms and reduce any fractions.
Order of Operations:
1

Ex 1. Evaluating the Algebraic Expression for x = 4 and y = -2
(hint: put parenthesis around any negative values)
a. x + y ÷ x b. 3x - 4y + x - y c. x + 2x ÷ y - 2y
Ex 2. Evaluating an Algebraic Expression with Exponents
For c = -3 and d = 5
a. c 2 - d 2 b. c(3 - d) - c 2 c. -d 2 - 4(d - 2c)
Ex 4. Combining like terms
a. 3k - k b. 5z 2 - 10z - 8z 2 + z c. -(m - n) + 2(m - 3n)
d. 2x 2 + 5x - 4x 2 + x - x 2 e. -2(r + s) - (2r + 2s) f. y(1 + y) - 3y 2 - (y + 1)
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