Download Expressions and Equations

Solve Using the order
of operations
1) 5 + (12 – 3)
5+ 9
14
3) 39 ÷ (9 + 4)
39 ÷ 13
3
2) 8 – 3 • 2 + 7
8 - 6 +7
2 + 7
9
4) 10 + 8 ÷ 2 – 6
10 + 4 - 6
14 - 6
8
5) 36 ÷ (1 + 2)2
36 ÷ 32
36 ÷ 3 • 3
36 ÷ 9
4
PEM DAS
Translating
Expressions and
Equations
Essential question: What strategies can I use
to help me understand and represent real
situations using algebraic expressions and
equations?
Lesson Objective: To translate verbal
phrases into algebraic expressions and
vice versa.
Let’s look at some
vocabulary
Variable – A symbol (usually a letter)
used to represent an unknown number w
Verbal Phrase - A word or group of
words used to describe a math
operation
5 more than x
Algebraic Expression- A phrase with
numbers, variables, and operations 2x-5
Key Math Words for
Addition
Add
Sum
Increased
Total
More
More than
Plus
Key Math Words for
Subtraction
Decreased by
Less than
Difference of
Left
Less
Lower than
Reduced by
Minus
Key Math Words for
Multiplication
Double
Triple
Half
Twice
Product
Of
Times
Squared
Multiplied by
Cubed
Key Math Words for
Division
Divided into
Quotient
Half
Divided by
Change the verbal phrase to an
algebraic expression.
eight less than n
n -
8
Change the verbal phrase to an
algebraic expression.
13 more than a # k
k
+
13
Change the verbal phrase to an
algebraic expression.
seven increased by t
7 +
t
Change the verbal phrase to an
algebraic expression.
twice a number plus nine
2n + 9
Change the verbal phrase to an
algebraic expression.
p divided by 3
p / 3
Which of the following expressions
represents
7 times a number decreased by
13?
1.
2.
3.
4.
7x + 13
7x - 13
13 - 7x
13 + 7x
Answer Now
Which one of the following
expressions represents 28 less
than three times a number?
1.
2.
3.
4.
28 - 3x
3x - 28
28 + 3x
3x + 28
Answer Now
Which of the following expressions
represents the sum of 16 and five times
a number?
1.
2.
3.
4.
5x - 16
16x + 5
16 + 5x
16 - 5x
Answer Now
Which of the following verbal
expressions represents 2x + 9?
1.
2.
3.
4.
9 increased by twice a number
a number increased by nine
twice a number decreased by 9
9 less than twice a number
Answer Now
Now take an algebraic
expression and make a
verbal phrase
x+2
Two more than a number x
2n
The product of 2 and n
9–a
Nine less a number a
6(2 + b)
Six times the sum of 2 and b
3d – 14
The product of 3 and d minus 14
Post it Note Exit
Ticket
Write a verbal phrase for n + 2.
Translate g – 17 into an
algebraic expression.
Classwork /
Homework
Worksheet 12
Matching Verbal Phrases to
expressions
Worktext pages
Let’s look at some MORE
vocabulary
Verbal sentence- a complete word
statement.
The sum of 3 more than x is 8.
Equation- A mathematical statement
that says two expressions
An EQUAtion
must have an
are equal.
EQUAl sign.
2x+2 = 8
What’s that called?
Seven less than thirteen
The product of six and
seven is forty- two.
7 + x = 25
9x – 5
Verbal phrase
Verbal sentence
Equation
Algebraic expression
The sum of nine and six is
fifteen.
Verbal phrase
Key Math Words for
Equals
IS
Change the verbal statement to an
algebraic equation.
The sum of twice a
number and three is
twelve.
2n+3=12
Change the verbal statement to an
algebraic equation.
Six times a number decreased by
five is thirty-eight.
6n-5=38
Change the verbal statement to an
algebraic equation.
Five times a number
divided by ten is four.
5n ÷ 10 = 4
Change the verbal statement to an
algebraic equation.
Five more than half a
number is eight.
½ p + 5 =8