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Translating Algebraic Expressions
You will……translate words into numbers,
variables, and operations.
When solving real-world problems, you will need
to translate words, or verbal expressions, into
algebraic expressions.
Operation
Verbal Expressions
Algebraic
Expressions
• add 3 to a number
• a number plus 3
• the sum of a number and 3
n+3
• 3 more than a number
• a number increased by 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
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
Translating Verbal Expressions into Algebraic
1-8 Translate Words
into Math
Expressions
Write each phrase as an algebraic expression
1. the quotient of a number and 4
quotient means “divide”
2. x increased by 5
increased by means “add”
Course 2
n
4
x+5
Translating Verbal Expressions into Algebraic
Expressions
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
n
+ 10
Translating Verbal Expressions into Algebraic
Expressions
Write each phrase as an algebraic expression.
5. a number decreased by 10
decreased means “subtract”
n – 10
6. X plus 20
plus means “add”
x + 20
Translating Verbal Expressions into Algebraic
Expressions
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 (remember: coefficient must go in front of
the variable.
8. 4 times the difference of y and 8
4 times the difference of y and 8
4•
y – 8
4(y – 8)
Translating Verbal Expressions into Algebraic
Expressions
Write each phrase as an algebraic expression.
9. 6 times the sum of x and 15
6 times the sum of x and 15
6•
x
+ 15
6(x + 15)
Now you try a few problems on your own:
Write each phrase as an algebraic expression.
1. 18 less than an number x – 18
2. the quotient of a number and 21
3. 8 times the sum of x and 15
x
21
8(x + 15)
4. 7 less than the product of a number and 5
5n – 7