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

2. Warm Up
Evaluate each expression for x = 9. x
2. 4x
3. 2x + 1
4. 36 x

3. Problem of the Day
Draw a square around the numbers of four adjacent days on the calendar for this month. Add all the numbers in the square and subtract four times the first number. What number do you get?

4. Learn to translate between words and math.

5. 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 Application
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. 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.

8. Check It Out: 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.

9. Check It Out: 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.

10. +
Operation
Numerical Expression
Words
Algebraic Expression
There are several different ways to write math expressions with words.
28 added to 37
37 plus 28
the sum of 37 and 28
28 more than 37
x + 28
28 added to x
x plus 28
the sum of x and 28
28 more than x

11.  90 — 12 k — 12 Operation Numerical Expression Words
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.  8  48 or 8  48 or (8)(48) or 8(48) or (8)48 8  w or (8)(w) or 8w
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.  327  3 or 327 3 n  3 or n 3 Operation Numerical Expression Words
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
Write each phrase as a numerical or algebraic expression.
A. 987 minus 12
B. x times 45

15. Check It Out: Example 2
Write each phrase as a numerical or algebraic expression.
A. 42 less than 79
B. y divided by 22

16. Additional Example 3: Translating Math into Words
Write two phrases for each expression.
A. 16 __ b
B. (75)(32)

17. Check It Out: Example 3
Write two phrases for each expression.
A. 17 – 14
B. 12 c

18. Lesson Quiz
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.
Write each phrase as a numerical or algebraic expression.
2. 7 less than x
3. The product of 12 and w
Write a phrase for each expression x
5. n  12