Warm Up

1
Warm Up

• Evaluate each expression for the given values of
  the variables.
• Which operation symbol goes with each word?

23
1. 9y 13 for y 4
18
2. 6n 2p for n 2 and p 3
1
3. 3x y for x 1 and y 2
?

4. Sum
5. Product
?
?
7. Difference
6. Quotient
2
.

• Writing Algebraic Expressions

3
Objectives

• Use variables and appropriate operations to write
  an expression that represents a verbal
  description. (AF 1.1)

4
Lets brainstorm

• What words can mean go with these symbols? Lets
  create a tree map.

5
Tree Map
6
Writing Algebraic Expressions
Word Phrases Expression


?
?

• a number plus 5

n 5

• sum of a number and 5

• 5 more than a number

• subtract 11 from a number

x 11

• difference of a number and 11

• 11 less than a number

• 3 multiplied by a number

3 ? m or 3m

• product of 3 and a number

• 7 divided into a number

• quotient of a number and 7

7
Translating Verbal Phrases
Add 3 and 7
3 7
The sum of 3 and 7
3 7
3 increased by 7
3 7
The total of 3 and 7
3 7
7 more than 3
3 7
7 added to 3
3 7
8
Translating Verbal Phrases
7 subtract 3
7 3
The difference of 7 and 3
7 3
7 decreased by 3
7 3
7 take away 3
7 3
3 less than 7
7 3
3 subtracted from 7
7 3
9
Translate the following phrases

• Five plus x minus three
• 5 x 3
• Four less than three times y
• 3y 4
• Eight multiplied by x minus seven
• 8x 7
• The product of ten and m decreased by seven
• 10m 7
• Four more than the quotient of x and three
• x 3 4

10
Match the verbal phrase and the expression

• Twice the sum of x and three
• D
• Two less than the product of 3 and x
• E
• Three times the difference of x and two
• B
• Three less than twice a number x
• A
• Two more than three times a number x
• C

• 2x 3
• 3(x 2)
• 3x 2
• 2(x 3)
• 3x 2

11
Write a verbal phrase that describes the
expression

• 4(x 5) 2
• Four times the sum of x and 5 minus two
• 7 2(x 3)
• Seven minus twice the quotient of x and three
• m 9 4
• The quotient of m and nine minus four

12
Define a variable to represent the unknown and
write the phrase as an expression

• Six miles more than yesterday
• Let x be the number of miles for yesterday
• x 6
• Three runs fewer than the other team scored
• Let x the amount of runs the other team scored
• x - 3
• Two years younger than twice the age of your
  cousin
• Let x the age of your cousin
• 2x 2

13
Lesson Quiz
Write an algebraic expression for each word
phrase. 1. 5 less than a number k 2. a number
x divided by 11 3. 4 times the sum of n and
5 Write an algebraic expression to evaluate the
word problem. 4. Karen buys n raffle tickets for
0.50 each. If she buys 13 of them, how much
will they cost?
k 5
4(n 5)
0.50n 6.50