1. Translating Between Words and Math 2-2
Warm Up
Problem of the Day
Lesson Presentation
Course 1
Course 1

2. 2-2 Translating Between Words and Math Warm Up
Course 1
2-2
Translating Between Words and Math
Warm Up
Evaluate each expression for x = 9. x
2. 4x
3. 2x + 1
4. 36 16 36 19 4 x

3. Solving Subtraction Equations
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Translating Between Words and Math
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

4. 2-2 Translating Between Words and Math
Course 1
2-2
Translating Between Words and Math
Learn to translate between words and math.

5. 2-2 Translating Between Words and Math
Course 1
2-2
Translating Between Words and Math
In word problems, you may need to translate words to math.
Action
Operation
Put together or combine
Add
Find how much more or less
Subtract
Put together groups of equal parts
Multiply
Separate into equal groups
Divide

6. Additional Example 1A: Social Studies Applications
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Translating Between Words and Math
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.

7. 2-2 Translating Between Words and Math Additional Example 1B
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Translating Between Words and Math
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.

8. 2-2 Translating Between Words and Math Try This: Example 1A
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Translating Between Words and Math
Try This: Example 1A
The Nile River is the world’s 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.

9. 2-2 Translating Between Words and Math Try This: Example 1B
Course 1
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Translating Between Words and Math
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.

10. + 2-2 Translating Between Words and Math 37 + 28 x + 28 Operation
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Translating Between Words and Math +
Operation
Numerical Expression
Words
28 added to 37
37 plus 28
the sum of 37 and 28
28 more than 37
Algebraic Expression
x + 28
Words
28 added to x
x plus 28
the sum of x and 28
28 more than x

11.  2-2 Translating Between Words and Math 90 — 12 k — 12 Operation
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Translating Between Words and Math 
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
Words
12 subtracted from k
12 minus k
the difference of k and 12
take away 12 from k

12.  2-2 Translating Between Words and Math 8  48 or 8  48
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Translating Between Words and Math 
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.  2-2 Translating Between Words and Math 37  3 or 327 3 n  3 or n 3
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Translating Between Words and Math 
Operation
37  3 or
Numerical Expression
327 3
327 divided by 3
the quotient of 327 and 3
Words
n  3 or
Algebraic Expression n 3
Words
n divided by 3
the quotient of n and 3

14. Additional Example 2: Translating Words into Math
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Translating Between Words and Math
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

15. 2-2 Translating Between Words and Math Try This: Example 2
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Translating Between Words and Math
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
y  22 or y 22

16. Additional Example 3: Translating Math into Words
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Translating Between Words and Math
Additional Example 3: Translating Math into Words
Write two phrases for each expression.
A b
16 added to b
b more than 16
B. (75)(32)
75 times 32
the product of 75 and 32

17. 2-2 Translating Between Words and Math Try This: Example 3
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Translating Between Words and Math
Try This: Example 3
Write two phrases for each expression.
A. 17 – 14
14 subtracted from 17
17 minus 14
B. 16 b
16 divided by b
the quotient of 16 and b

18. 2-2 Translating Between Words and Math Lesson Quiz Write an expression
Course 1
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Translating Between Words and Math
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 less than x
3. The product of 12 and w
x  7
12w
Write a phrase for each expression x
5. n  12
x more than 17 or x added to 17
n divided by 12 or the quotient of n and 12