Translating Between Words and Math

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Translating Between Words and Math
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Warm Up
Problem of the Day
Lesson Presentation
Course 1
2
Warm Up Evaluate each expression for x 9. 1. 7
x 2. 4x 3. 2x 1 4. 36
16
36
19
4
x
3
Solving Subtraction Equations
Problem of the Day Draw a square around the
numbers of 4 adjacent days on the calendar for
this month. Add all the numbers in the square and
subtract 4 times the first number. What number do
you get?
16
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Learn to translate between words and math.
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In word problems, you may need to translate words
to math.
Put together or combine
Add
Find how much more or less
Subtract
Put together groups of equal parts
Multiply
Separate into equal groups
Divide
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Additional Example 1A Social Studies Applications
Lake Superior is the largest lake in North
America. Let a stand for the area in square miles
of Lake Superior. Lake Erie has an area of 9,910
square miles. Write an expression to show how
much larger Lake Superior is than Lake Erie.
To find how much larger, subtract the area of
Lake Erie from the area of Lake Superior.
a 9,910
Lake Superior is a 9,910 square miles larger
than Lake Erie.
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Additional Example 1B
Let p represent the number of colored pencils in
a box. If there are 26 boxes on the shelf, write
an algebraic expression to represent the total
number of pencils on the shelf.
To put together 26 equal groups of p, multiply 26
times p.
26p
There are 26p pencils on the shelf.
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Try This Example 1A
The Nile River is the worlds longest river. Let
n stand for the length in miles of the Nile. The
Paraná River is 3,030 miles long. Write an
expression to show how much longer the Nile is
than the Paraná.
To find how much longer, subtract the length of
the Paraná from the length of the Nile.
n 3,030
The Nile is n 3,030 miles longer than the
Paraná.
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Try This Example 1B
Let p represent the number of paper clips in a
box. If there are 125 boxes in a case, write an
algebraic expression to represent the total
number of paper clips in a case.
To put together 125 equal groups of p, multiply
125 times p.
125p
There are 125p paper clips in a case.
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Operation
Numerical Expression
37 28

• 28 added to 37
• 37 plus 28
• the sum of 37 and 28
• 28 more than 37

Words
Algebraic Expression
x 28

• 28 added to x
• x plus 28
• the sum of x and 28
• 28 more than x

Words
11
?
Operation
Numerical Expression
90 12

• 12 subtracted from 90
• 90 minus 12
• the difference of 90 and 12
• 12 less than 90
• take away 12 from 90

Words
Algebraic Expression
k 12

• 12 subtracted from k
• 12 minus k
• the difference of k and 12
• take away 12 from k

Words
12
?
Operation
Numerical Expression
8 ? 48 or 8 ? 48
or (8)(48) or
8(48) or (8)48

• 8 times 48
• 48 multiplied by 8
• the product of 8 and 48

Words
Algebraic Expression
8 ? w or (8)(w) or 8w

• 8 times w
• w multiplied by 8
• the product of 8 and w
• 8 groups of of w

Words
13
?
Operation
37 ? 3 or
Numerical Expression

• 327 divided by 3
• the quotient of 327 and 3

Words
n ? 3 or
Algebraic Expression
Words

• n divided by 3
• the quotient of n and 3

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Additional Example 2 Translating Words into Math
Write each phrase as a numerical or algebraic
expression.
A. 987 minus 12
987 ? 12
B. x times 45
45 x or 45x
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Try This Example 2
Write each phrase as a numerical or algebraic
expression.
A. 42 less than 79
79 ? 42
B. y divided by 22
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Additional Example 3 Translating Math into Words
Write two phrases for each expression.
A. 16 b

• 16 added to b

• b more than 16

B. (75)(32)

• 75 times 32

• the product of 75 and 32

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Try This Example 3
Write two phrases for each expression.
A. 17 14

• 14 subtracted from 17

• 17 minus 14

• 16 divided by b

• the quotient of 16 and b

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Lesson Quiz
Write an expression 1. Let x represent the number
of minutes Kristen works out in one week. Write
an expression for the number of minutes she works
out in 4 weeks.
4x
Write each phrase as a numerical or algebraic
expression
2. 7 less than x 3. The product of 12 and w
x ? 7
12w
Write a phrase for each expression
4. 17 x 5. n ? 12
x more than 17 or x added to 17
n divided by 12 or the quotient of n and 12