Transcript Day Problems • Write an algebraic expression for each phrase. 1. The quotient of 4 and c. 2.

Day Problems
• Write an algebraic expression for each phrase.
1. The quotient of 4 and c.
2. The sum of 15 and m.
• Define a variable and write an algebraic
expression for each phrase.
3. 9 less than four times a number.
4. The sum of twice a number and 31.
1.2 Exponents and Order of Operations
• Simplifying and evaluating expressions and
formulas
– To simplify a numerical expression, you replace it
with its simplest name.
• Ex. The simplest name for 2 • 8 + 2 • 3 is 22.
– Expressions may include exponents.
• Exponents provide a shorthand way to show a product of
equal factors.
– EX. 24 = 2 • 2 • 2 • 2 - two to the fourth power
– 2 – base, 4 – exponent
– Replace 24 with its simplest name, 16.
Order of Operations
1. Perform operation(s) inside grouping symbols
(Parenthesis, brackets, etc.).
2. Simplify powers.
3. Multiply and divide in order from left to right.
4. Add and subtract in order from left to right.
PEMDAS (Please Excuse My Dear Aunt
Sally)
Simplifying a Numerical Expression
• Simplify 25 – 8 • 2 + 32.
25 – 8 • 2 + 32
= 25 – 8 • 2 + 9
= 25 – 16 + 9
=9+9
= 18
Evaluating an Algebraic Expression
• Evaluate an algebraic expression by
substituting a given number for each variable.
– Then simplify the numerical expression by using
the order of operations.
Evaluating an Algebraic Expression
• Evaluate 3a – 23 ÷ b for a = 7 and b = 4.
3a – 23 ÷ b
= 3 • 7 – 23 ÷ 4
=3•7–8÷4
= 21 – 2
= 19
Simplifying and Evaluating Expressions with
Grouping Symbols
• Simplifying an Expression with Parentheses.
– Ex. Simplify 15 (13 – 7) ÷ (8 – 5)
• 15 (13 – 7) ÷ (8 – 5)
= 15 (6) ÷ 3
= 90 ÷ 3
= 30
Evaluating Expressions with Exponents
• Evaluate each expression for c = 15 and d = 12.
a. (cd)2
= (15 • 12)2
= (180)2
= 32, 400
b. cd2
= 15 • 122
= 15 • 144
= 2160
Simplifying an Expression
• Simplify 2 [(13 – 7)2 ÷ 3].
2 [(13 – 7)2 ÷ 3]
= 2 [(6)2 ÷ 3]
= 2 [36 ÷ 3]
= 2 [12]
= 24
More Practice!!!!
• Classwork – textbook p. 12 – 13 #1 – 31
odd.
• Homework – textbook p. 12 – 13 #2 – 30
even