1. Algebraic Expressions and
Translating Words
into
Algebraic Expressions and
Equations

2. In Other Words

3. WORDS
I N T O
MATH

4. The following slides show how many words in word problems can be translated into Math Symbols.
The translations shown are not always the only translations and there may be others more appropriate for each word problem you encounter.
However, the examples in the next slides typify the most common translations of words into Math Symbols.

5. MATH
WORDS = is

6. MATH
WORDS = is of

7. MATH
WORDS +
more

8. MATH
WORDS +
more
less

9. MATH
WORDS
product

10. MATH
WORDS
product
quotient
FRACTION

11. MATH
WORDS
sum

12. MATH
WORDS
sum
difference

13. MATH
WORDS
twice

14. MATH
WORDS
Twice as many

15. MATH
WORDS
Twice as many
Three times as many

16. MATH
WORDS
Twice as many
Three times as many
Triple

17. MATH
WORDS
Half of

18. MATH
WORDS
Half of
Half as many

19. MATH
WORDS
One third of

20. MATH
WORDS
One third of
A third as many

21. Algebraic Expressions
Translating
Verbal Expressions
into
Algebraic Expressions
EXAMPLES

22. The sum of x and 5

23. 3 less than twice y

24. Ten plus the product of 5 and a

25. FRACTION
The quotient of p and 7

26. Translating
Sentences
into
Algebraic Equations
EXAMPLES

27. The sum of a number and 5 is 11

28. The sum of a number and 5 is 11

29. Let x represent the number
The sum of a number and 5 is 11 11

30. Seven is 3 less than twice a number

31. Seven is 3 less than twice a number7

32. Let x represent the number
Seven is 3 less than twice a number 7

33. One-fourth of a number is 5 less than the number itself

34. One-fourth of a number is 5 less than the number itself

35. Let x represent the number
One-fourth of a number is 5 less than the number itself

36. One-fourth of a number is 5 less than the number itself

37. One-fourth of a number is 5 less than the number itself

38. One-fourth of a number is 5 less than the number itself

39. Translating
Word Problems
into
Algebraic Equations
EXAMPLES

40. The length of a rectangle is 50 meters.
This is 6 meters more than twice the width.
Find the width.

41. 50 The length of a rectangle is 50 meters.
This is 6 meters more than twice the width.
Find the width. 50

42. 50 The length of a rectangle is 50 meters.
This is 6 meters more than twice the width.
Find the width. 50

43. 50 The length of a rectangle is 50 meters.
This is 6 meters more than twice the width.
Find the width. 50

44. 50 Let w represent the width The length of a rectangle is 50 meters.
This is 6 meters more than twice the width.
Find the width. 50

45. 50 Let w represent the width The length of a rectangle is 50 meters.
This is 6 meters more than twice the width.
Find the width. 50
We could solve this equation to find the width.

46. Next Example

47. A medium orange has 70 calories.
This is 10 calories less than one fourth of the calories in a Sugar Krunchy.
How many calories are in a Sugar Krunchy?

48. 70 A medium orange has 70 calories.
This is 10 calories less than one fourth of the calories in a Sugar Krunchy.
How many calories are in a Sugar Krunchy? 70

49. 70 A medium orange has 70 calories.
This is 10 calories less than one fourth of the calories in a Sugar Krunchy.
How many calories are in a Sugar Krunchy? 70

50. 70 A medium orange has 70 calories.
This is 10 calories less than one fourth of the calories in a Sugar Krunchy.
How many calories are in a Sugar Krunchy? 70

51. 70 A medium orange has 70 calories.
This is 10 calories less than one fourth of the calories in a Sugar Krunchy.
How many calories are in a Sugar Krunchy? 70

52. 70 A medium orange has 70 calories.
Let k represent the number of calories in a Sugar Krunchy
A medium orange has 70 calories.
This is 10 calories less than one fourth of the calories in a Sugar Krunchy.
How many calories are in a Sugar Krunchy? 70

53. 70 A medium orange has 70 calories.
Let k represent the number of calories in a Sugar Krunchy
A medium orange has 70 calories.
This is 10 calories less than one fourth of the calories in a Sugar Krunchy.
How many calories are in a Sugar Krunchy? 70
We could solve this equation to find the calories.