Download Algebraic Expressions

Unit 2: Algebraic Expressions
Day 1
Variables & Evaluating
Expressions
Objectives
- Translate Algebraic Expressions
into Verbal Expressions
- Translate Verbal Expressions into
Algebraic Expressions.
A1.1.1 Operations with Real
Numbers and Expressions
A1.1.1.3 Use Exponents, roots, and/or absolute
values to solve problems.
A1.1.1.3.1 Simplify/evaluate expressions
involving properties/laws of exponents, roots,
and/or absolute values to solve problems.
Note: Exponents should be integers from -10 to
10.
Think about it…
Joe scored 25 goals in soccer this year.
Together, Joe and Nina scored 48 goals. How
many goals did Nina score?
Key Terms
Algebraic Expression: Expression
consisting of
sums/differences/products/quotients
of numbers & variables (no equal
signs)
Variable: Symbol used to represent
unknown numbers or values.
Writing Algebraic Expressions
Addition:
Subtraction:
Multiplication:
Division:
Translating Algebraic Expressions
into Verbal Expressions
3x
4
5 z  16
2
Translating Algebraic Expressions
to Verbal Expressions
16u  3
2
Translating Verbal Expressions into
Algebraic Expressions
a number t more than 6
10 less than the product of 7 and f
two thirds of the volume v
Translating Verbal Expressions into
Algebraic Expressions
the product of p and 6
one third of the area a
Application: Writing an Expression
Mr. Martinez orders 250 key chains
printed with his athletic team’s logo
and 500 pencils printed with their
Web Address. Write an algebraic
expression that represents the cost
of the order.
Application: Writing an Expression
Katie estimates that 1/8 of the
people who order beverages also
order pastries. Write an algebraic
expression to represent how many
people order pastries.
Exit Ticket
A small company has $1,000 to
distribute to its employees as a
bonus. Write an algebraic expression
that represents the amount that each
employee will receive.
Homework
Worksheet
Unit 2: Algebraic Expressions
Day 2
Variables & Evaluating
Expressions
Objectives
- Evaluate algebraic expressions
A1.1.1 Operations with Real
Numbers and Expressions
A1.1.1.3 Use Exponents, roots, and/or absolute
values to solve problems.
A1.1.1.3.1 Simplify/evaluate expressions
involving properties/laws of exponents, roots,
and/or absolute values to solve problems.
Note: Exponents should be integers from -10 to
10.
Example 1
Evaluate the algebraic expression using the
given information and your order of operations.
Evaluate 3x + (2y + z ) if x = 4, y = 5, z = 3.
2
3
Example 2
Evaluate the algebraic expression using the
given information and your order of operations.
Evaluate a (3b + 5)¸ c if a = 2, b = 6, c = 4.
2
Example 3
Evaluate the algebraic expression using the
given information and your order of operations.
Evaluate 5d + 2 ( 6 f - g) if d = 4, f = 3, g = 5
-2
Example 4
Evaluate the algebraic expression using the
given information and your order of operations.
Evaluate 6 7x if x =12.
Example 5
Evaluate the algebraic expression using the
given information and your order of operations.
Evaluate 2 5x if x  10.
Example 6
Evaluate the algebraic expression using the
given information and your order of operations.
Evaluate 3 -a + 2b if a = 7 and b = -3.
3
Exit Ticket
Evaluate the algebraic expression using the
given information and your order of operations.
-3
Evaluate 3g(g + r) -1 if g = 4 and r = -2.
Example 6
Akira bought one new book for $20 and three
used books for $4.95 each. Write and evaluate
an expression to find how much money the
books cost.
Example 5
According to the California Department of
Forestry, an average of 539.2 fires each year
are started by burning debris, while campfires
are responsible for an average of 129.1 each
year.
a) Write an algebraic expression that
represents the number of fires, on average,
in d years of debris burning and c years of
campfires.
b) How many fires would there be in 5 years?
Example 7
Koto purchased food for herself and her
friends. She bought 4 cheeseburgers for $2.25
each, 3 french fries for $1.25 each, and 4
drinks for $4.00. Write and evaluate an
expression to find how much the food cost.
Homework
P13: 36-38, 49-54, 55, 56, 65, 66, 68