1. The document provides examples of verbal phrases translated to mathematical expressions involving addition, subtraction, multiplication, division, and inequalities. 2. It also contains 30 word problems each followed by the corresponding mathematical expression to solve for the unknown number. 3. The problems involve translating phrases such as "the sum of", "more than", and "times" to algebraic expressions and solving basic equations.

1. Conrado P. Macapinlac, Sr. High School
Mr. Carlo Justino J. Luna
www.twitter.com/iamcarloluna

2. Addition would indicate an
increase, a putting together, or
combining.
Addition phrases:
increased by
added to
the sum of
more than
plus

3. Subtraction would indicate a
lessening, diminishing action.
Subtraction phrases:
decreased by
subtracted from
the difference of
less than
minus
diminished by

4. Multiplication would indicate a
multiplying action.
Multiplication phrases:
multiplied by
n times
the product of

5. Division would indicate
partitioning, a quotient, and a
ratio.
Division phrases:
divided by
the ratio of
the quotient of

6. Equalities
Keywords:
is
is equal to
the same as
yields
results to
becomes

7. Inequalities
< is less than
> is greater than
< is less than or equal to
is at most
> is greater than or equal to
is at least
≠ is not equal to

8. TRANSLATING VERBAL PHRASES
Verbal Phrase Expression
The sum of six and a number 6 + xsum +six 6number x
Eight more than a number y + 8more than +
A number plus five n + 5plus +
A number increased by seven x + 7+increased
A number decreased by nine n – 9–decreased
Ten times a number
Seven divided by a number
10 • n
7
x
times
divided
•
The sum of six and a number 6 + x
Eight numberEight more than a number
fivenumberA number plus five
sevennumberA number increased by seven
ninenumberA number decreased by nine
Ten numberTen times a number
8yy + 8
1010 • nn
5nn + 5
7xx + 7
9nn – 9
or ( )10n10n( )n(10 )n1010n
Seven
7
x
number

9. # 1
The sum of a
number and three
is twelve
SPEEDY MATH:
You Can Do It!
X + 3 = 12

10. # 2
The difference of
three and a
number yields ten
SPEEDY MATH:
You Can Do It!
3 – x = 10

11. # 3
Four times a
number is equal to
thirty-six
SPEEDY MATH:
You Can Do It!
4x = 36

12. # 4
Thrice a number
decreased by
thirteen is five
SPEEDY MATH:
You Can Do It!
3x – 13 = 5

13. # 5
One-third of a
number is nine
SPEEDY MATH:
You Can Do It!
1 x = 9
3

14. # 6
The ratio of a
number and two is
equal to twenty
SPEEDY MATH:
You Can Do It!
x = 20
2

15. # 7
Eight more than a
number yields
thirty-six
SPEEDY MATH:
You Can Do It!
x + 8 = 36

16. # 8
A number
subtracted from
eighteen is nine
SPEEDY MATH:
You Can Do It!
18 – x = 9

17. # 9
Seven more than
a number equals
fourteen
SPEEDY MATH:
You Can Do It!
x + 7 = 14

18. # 10
A number
increased by
twelve is thirty-two
SPEEDY MATH:
You Can Do It!
x + 12 = 32

19. # 11
Twice a number
decreased by ten
results to two
SPEEDY MATH:
You Can Do It!
2x – 10 = 2

20. # 12
The sum of a
number and eight
is equal to forty
SPEEDY MATH:
You Can Do It!
X + 8 = 40

21. # 13
Fifteen less than a
number yields
sixty-seven
SPEEDY MATH:
You Can Do It!
x – 15 = 67

22. # 14
Four less than a
number is one
SPEEDY MATH:
You Can Do It!
x – 4 = 1

23. # 15
The quotient of a
number and three
becomes eleven
SPEEDY MATH:
You Can Do It!
x = 11
3

24. # 16
Three-fifths of a
number is equal to
fifty-four
SPEEDY MATH:
You Can Do It!
3 x = 54
5

25. # 17
A number times
four is twice the
number minus two
SPEEDY MATH:
You Can Do It!
4x = 2x – 2

26. # 18
Six less than thrice
a number equals
seventy-five
SPEEDY MATH:
You Can Do It!
3x – 6 = 75

27. # 19
The sum of twice a
number and
twelve is twenty
SPEEDY MATH:
You Can Do It!
2x + 12 = 20

28. # 20
The product of
eleven and a
number is fifty-five
SPEEDY MATH:
You Can Do It!
11x = 55

29. # 21
Ninety added to a
number gives one
hundred
SPEEDY MATH:
You Can Do It!
90 + x = 100

30. # 22
Four times a number
decreased by one is
three
SPEEDY MATH:
You Can Do It!
4x – 1 = 3

31. # 23
Three subtracted
from five times a
number is seven
SPEEDY MATH:
You Can Do It!
5x – 3 = 7

32. # 24
The sum of thrice a
number and six
equals fifteen
SPEEDY MATH:
You Can Do It!
3x + 6 = 15

33. # 25
The difference of
two and a number
is two
SPEEDY MATH:
You Can Do It!
2 – x = 2

34. # 26
Forty plus a
number yields
seventy-one
SPEEDY MATH:
You Can Do It!
40 + x = 71

35. # 27
The product of a
number and nine
is equal to ninety
SPEEDY MATH:
You Can Do It!
9x = 90

36. # 28
Twice a number
decreased by one
is seven
SPEEDY MATH:
You Can Do It!
2x – 1 = 7

37. # 29
A number
diminished by nine
equals four
SPEEDY MATH:
You Can Do It!
x – 9 = 4

38. # 30
Ten multiplied by a
number yields
eighty
SPEEDY MATH:
You Can Do It!
10x = 80