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TRANSLATING VERBAL PHRASES TO ALGEBRAIC EXPRESSION Conrado P. Macapinlac, Sr. High School Mr. Carlo Justino J. Luna www.twitter.com/iamcarloluna ALGEBRA 8

Translating Verbal Phrases to Algebraic Expression

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Page 1: Translating Verbal Phrases to Algebraic Expression

TRANSLATING VERBAL

PHRASES TO ALGEBRAIC

EXPRESSIONConrado P. Macapinlac, Sr. High School

Mr. Carlo Justino J. Lunawww.twitter.com/iamcarloluna

ALGEBRA 8

Page 2: Translating Verbal Phrases to Algebraic Expression

Addition would indicate an increase, a putting together, or combining.Addition phrases:

increased byadded tothe sum ofmore thanplus

TRANSLATING VERBAL PHRASES TOMATHEMATICAL EXPRESSIONS

Page 3: Translating Verbal Phrases to Algebraic Expression

Subtraction would indicate a lessening, diminishing action.Subtraction phrases:

decreased bysubtracted fromthe difference ofless thanminusdiminished by

TRANSLATING VERBAL PHRASES TOMATHEMATICAL EXPRESSIONS

Page 4: Translating Verbal Phrases to Algebraic Expression

Multiplication would indicate a multiplying action.Multiplication phrases:

multiplied byn timesthe product of

TRANSLATING VERBAL PHRASES TOMATHEMATICAL EXPRESSIONS

Page 5: Translating Verbal Phrases to Algebraic Expression

Division would indicate partitioning, a quotient, and a ratio.Division phrases:

divided bythe ratio ofthe quotient of

TRANSLATING VERBAL PHRASES TOMATHEMATICAL EXPRESSIONS

Page 6: Translating Verbal Phrases to Algebraic Expression

EqualitiesKeywords:

isis equal tothe same asyieldsresults tobecomes

TRANSLATING VERBAL PHRASES TOMATHEMATICAL EXPRESSIONS

Page 7: Translating Verbal Phrases to Algebraic Expression

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

TRANSLATING VERBAL PHRASES TOMATHEMATICAL EXPRESSIONS

Page 8: Translating Verbal Phrases to Algebraic Expression

TRANSLATING VERBAL PHRASESVerbal 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

7x

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 7xnumber

Page 9: Translating Verbal Phrases to Algebraic Expression

# 1

The sum of a number and three is twelve

SPEEDY MATH: You Can Do It!

X + 3 = 12

Page 10: Translating Verbal Phrases to Algebraic Expression

# 2

The difference of three and a number yields ten

SPEEDY MATH: You Can Do It!

3 – x = 10

Page 11: Translating Verbal Phrases to Algebraic Expression

# 3

Four times a number is equal to thirty-six

SPEEDY MATH: You Can Do It!

4x = 36

Page 12: Translating Verbal Phrases to Algebraic Expression

# 4

Thrice a number decreased by thirteen is five

SPEEDY MATH: You Can Do It!

3x – 13 = 5

Page 13: Translating Verbal Phrases to Algebraic Expression

# 5

One-third of a number is nine

SPEEDY MATH: You Can Do It!

1 x = 9 3

Page 14: Translating Verbal Phrases to Algebraic Expression

# 6

The ratio of a number and two is equal to twenty

SPEEDY MATH: You Can Do It!

x = 20 2

Page 15: Translating Verbal Phrases to Algebraic Expression

# 7

Eight more than a number yields thirty-six

SPEEDY MATH: You Can Do It!

x + 8 = 36

Page 16: Translating Verbal Phrases to Algebraic Expression

# 8

A number subtracted from eighteen is nine

SPEEDY MATH: You Can Do It!

18 – x = 9

Page 17: Translating Verbal Phrases to Algebraic Expression

# 9

Seven more than a number equals fourteen

SPEEDY MATH: You Can Do It!

x + 7 = 14

Page 18: Translating Verbal Phrases to Algebraic Expression

# 10

A number increased by twelve is thirty-two

SPEEDY MATH: You Can Do It!

x + 12 = 32

Page 19: Translating Verbal Phrases to Algebraic Expression

# 11

Twice a number decreased by ten results to two

SPEEDY MATH: You Can Do It!

2x – 10 = 2

Page 20: Translating Verbal Phrases to Algebraic Expression

# 12

The sum of a number and eight is equal to forty

SPEEDY MATH: You Can Do It!

X + 8 = 40

Page 21: Translating Verbal Phrases to Algebraic Expression

# 13

Fifteen less than a number yields sixty-seven

SPEEDY MATH: You Can Do It!

x – 15 = 67

Page 22: Translating Verbal Phrases to Algebraic Expression

# 14

Four less than a number is one

SPEEDY MATH: You Can Do It!

x – 4 = 1

Page 23: Translating Verbal Phrases to Algebraic Expression

# 15

The quotient of a number and three becomes eleven

SPEEDY MATH: You Can Do It!

x = 11 3

Page 24: Translating Verbal Phrases to Algebraic Expression

# 16

Three-fifths of a number is equal to fifty-four

SPEEDY MATH: You Can Do It!

3 x = 54 5

Page 25: Translating Verbal Phrases to Algebraic Expression

# 17

A number times four is twice the number minus two

SPEEDY MATH: You Can Do It!

4x = 2x – 2

Page 26: Translating Verbal Phrases to Algebraic Expression

# 18

Six less than thrice a number equals seventy-five

SPEEDY MATH: You Can Do It!

3x – 6 = 75

Page 27: Translating Verbal Phrases to Algebraic Expression

# 19

The sum of twice a number and twelve is twenty

SPEEDY MATH: You Can Do It!

2x + 12 = 20

Page 28: Translating Verbal Phrases to Algebraic Expression

# 20

The product of eleven and a number is fifty-five

SPEEDY MATH: You Can Do It!

11x = 55

Page 29: Translating Verbal Phrases to Algebraic Expression

# 21

Ninety added to a number gives one hundred

SPEEDY MATH: You Can Do It!

90 + x = 100

Page 30: Translating Verbal Phrases to Algebraic Expression

# 22

Four times a number decreased by one is three

SPEEDY MATH: You Can Do It!

4x – 1 = 3

Page 31: Translating Verbal Phrases to Algebraic Expression

# 23

Three subtracted from five times a number is seven

SPEEDY MATH: You Can Do It!

5x – 3 = 7

Page 32: Translating Verbal Phrases to Algebraic Expression

# 24

The sum of thrice a number and six equals fifteen

SPEEDY MATH: You Can Do It!

3x + 6 = 15

Page 33: Translating Verbal Phrases to Algebraic Expression

# 25

The difference of two and a number is two

SPEEDY MATH: You Can Do It!

2 – x = 2

Page 34: Translating Verbal Phrases to Algebraic Expression

# 26

Forty plus a number yields seventy-one

SPEEDY MATH: You Can Do It!

40 + x = 71

Page 35: Translating Verbal Phrases to Algebraic Expression

# 27

The product of a number and nine is equal to ninety

SPEEDY MATH: You Can Do It!

9x = 90

Page 36: Translating Verbal Phrases to Algebraic Expression

# 28

Twice a number decreased by one is seven

SPEEDY MATH: You Can Do It!

2x – 1 = 7

Page 37: Translating Verbal Phrases to Algebraic Expression

# 29

A number diminished by nine equals four

SPEEDY MATH: You Can Do It!

x – 9 = 4

Page 38: Translating Verbal Phrases to Algebraic Expression

# 30

Ten multiplied by a number yields eighty

SPEEDY MATH: You Can Do It!

10x = 80