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1-4 Translate Words into Math
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Evaluate each algebraic expression for the
given value of the variables.
1. 7x + 4 for x = 6
2. 12x + 8
y for x = 7 and y = 4
46
86
1-4 Translate Words into Math
Learn to translate words into numbers,
variables, and operations.
1-4 Translate Words into Math
Operation
•
•
•
•
•
Verbal Expressions
Algebraic
Expressions
add 3 to a number
a number plus 3
the sum of a number and 3
3 more than a number
a number increased by 3
n+3
• subtract 12 from a number
• a number minus 12
• the difference of a number
and 12
• 12 less than a number
• a number decreased by 12
• take away 12 from a number
• a number less than 12
x – 12
1-4 Translate Words into Math
Operation
Verbal Expressions
Algebraic
Expressions
• 2 times a number
• 2 multiplied by a number
2m or 2 • m
• the product of 2 and a
number
• 6 divided into a number
÷
• a number divided by 6
• the quotient of a number
and 6
a ÷ 6 or
a
6
1-4 Translate Words into Math
“Turn Around” Subtraction Words
• Less than  8 less than x  x – 8
• From  6 taken away from r  r - 6
 y subtracted from 9  9 - r
1-4 Translate Words into Math
Parentheses Words
• The quantity
• Twice the sum of
• Times the difference of
*Remember:
Whenever you see “a number” use any
variable
1-4 Translate Words into Math
Practice
Write each phrase as an algebraic expression.
1. the quotient of a number and 4
quotient means “divide”
n
4
2. w increased by 5
increased by means “add”
w+5
1-4 Translate Words into Math
Practice
Write each phrase as an algebraic expression.
3. the difference of 3 times a number and 7
the difference of 3 times a number and 7
3•x
–7
3x – 7
4. the quotient of 4 and a number, increased by 10
the quotient of 4 and a number, increased by 10
4 + 10
n
1-4 Translate Words into Math
Practice
Write each phrase as an algebraic expression.
5. a number decreased by 10
decreased means “subtract”
n – 10
6. r plus 20
plus means “add”
r + 20
1-4 Translate Words into Math
Practice
Write each phrase as an algebraic expression.
7. the product of a number and 5
the product of a number and 5
n
•5
5n
8. 4 times the difference of y and 8
4 times the difference of y and 8
y
4•
4(y – 8)
– 8
1-4 Translate Words into Math
Practice
9. Mr. Campbell drives at 55 mi/h. Write an
algebraic expression for how far he can drive in
h hours.
You need to put equal parts together. This
involves multiplication.
55mi/h · h hours
=
55h miles
1-4 Translate Words into Math
Practice
10. On a history test Maritza scored 50 points
on the essay. In addition, each short-answer
question was worth 2 points. Write an
expression for her total points if she answered q
short-answer questions correctly.
50 + 2q
1-4 Translate Words into Math
Practice
11. Julie Ann works on an assembly line
building computers. She can assemble 8 units
an hour. Write an expression for the number
of units she can produce in h hours.
8 units/h · h hours
=
8h
1-4 Translate Words into Math
Practice
12. John makes $12 per hour at work. Julie
makes twice the difference of John’s salary
and a number. Write an expression to
represent Julie’s salary.
2(12 - n)
1-4 Translate Words into Math
Lesson Quiz
Write each phrase as an algebraic expression.
1. 18 less than a number
x – 18
2. the quotient of a number and 21
x
21
3. 8 times the sum of x and 15 8(x + 15)
4. 7 less than the product of a number and 5 5n – 7
5. The county fair charges an admission of $6
and then charges $2 for each ride. Write an
algebraic expression to represent the total
cost after r rides at the fair. 6 + 2r
1-4 Translate Words into Math
Lesson Quiz for Student Response Systems
1. Which of the following is an algebraic
expression that represents the phrase ‘15
less than a number’?
A. x – 15
B. x + 15
C. 15 – x
D. 15x
1-4 Translate Words into Math
Lesson Quiz for Student Response Systems
2. Which of the following is an algebraic
expression that represents the phrase ‘the
product of a number and 36’?
A. 36x
B. x
36
36
C. x
D. x + 36
1-4 Translate Words into Math
Lesson Quiz for Student Response Systems
3. Which of the following is an algebraic
expression that represents the phrase ‘5
times the sum of y and 17’?
A. 5(y + 17)
B. y + 17
C. 5y + 17
D. 5(y – 17)
1-4 Translate Words into Math
Lesson Quiz for Student Response Systems
4. Which of the following is an algebraic
expression that represents the phrase ‘9
less than the product of a number and 7’?
A. 7x + 9
B. 7x – 9
C. 9x + 7
D. 9x – 7
1-4 Translate Words into Math
Lesson Quiz for Student Response Systems
5. A painter charges $675 for labor and $30
per gallon of paint. Identify an algebraic
expression that represents the total cost of
painting, if the painter used x gallons of
paint.
A. 30 + 675x
B. 675x
C. 675 + 30x
D. 30x