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TRANSLATING VERBAL
PHRASES TO ALGEBRAIC
EXPRESSIONConrado P. Macapinlac, Sr. High School
Mr. Carlo Justino J. Lunawww.twitter.com/iamcarloluna
ALGEBRA 8
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Addition would indicate an increase, a putting together, or combining.Addition phrases:
increased byadded tothe sum ofmore thanplus
TRANSLATING VERBAL PHRASES TOMATHEMATICAL EXPRESSIONS
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Subtraction would indicate a lessening, diminishing action.Subtraction phrases:
decreased bysubtracted fromthe difference ofless thanminusdiminished by
TRANSLATING VERBAL PHRASES TOMATHEMATICAL EXPRESSIONS
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Multiplication would indicate a multiplying action.Multiplication phrases:
multiplied byn timesthe product of
TRANSLATING VERBAL PHRASES TOMATHEMATICAL EXPRESSIONS
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Division would indicate partitioning, a quotient, and a ratio.Division phrases:
divided bythe ratio ofthe quotient of
TRANSLATING VERBAL PHRASES TOMATHEMATICAL EXPRESSIONS
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EqualitiesKeywords:
isis equal tothe same asyieldsresults tobecomes
TRANSLATING VERBAL PHRASES TOMATHEMATICAL EXPRESSIONS
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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
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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
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# 1
The sum of a number and three is twelve
SPEEDY MATH: You Can Do It!
X + 3 = 12
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# 2
The difference of three and a number yields ten
SPEEDY MATH: You Can Do It!
3 – x = 10
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# 3
Four times a number is equal to thirty-six
SPEEDY MATH: You Can Do It!
4x = 36
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# 4
Thrice a number decreased by thirteen is five
SPEEDY MATH: You Can Do It!
3x – 13 = 5
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# 5
One-third of a number is nine
SPEEDY MATH: You Can Do It!
1 x = 9 3
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# 6
The ratio of a number and two is equal to twenty
SPEEDY MATH: You Can Do It!
x = 20 2
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# 7
Eight more than a number yields thirty-six
SPEEDY MATH: You Can Do It!
x + 8 = 36
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# 8
A number subtracted from eighteen is nine
SPEEDY MATH: You Can Do It!
18 – x = 9
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# 9
Seven more than a number equals fourteen
SPEEDY MATH: You Can Do It!
x + 7 = 14
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# 10
A number increased by twelve is thirty-two
SPEEDY MATH: You Can Do It!
x + 12 = 32
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# 11
Twice a number decreased by ten results to two
SPEEDY MATH: You Can Do It!
2x – 10 = 2
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# 12
The sum of a number and eight is equal to forty
SPEEDY MATH: You Can Do It!
X + 8 = 40
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# 13
Fifteen less than a number yields sixty-seven
SPEEDY MATH: You Can Do It!
x – 15 = 67
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# 14
Four less than a number is one
SPEEDY MATH: You Can Do It!
x – 4 = 1
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# 15
The quotient of a number and three becomes eleven
SPEEDY MATH: You Can Do It!
x = 11 3
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# 16
Three-fifths of a number is equal to fifty-four
SPEEDY MATH: You Can Do It!
3 x = 54 5
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# 17
A number times four is twice the number minus two
SPEEDY MATH: You Can Do It!
4x = 2x – 2
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# 18
Six less than thrice a number equals seventy-five
SPEEDY MATH: You Can Do It!
3x – 6 = 75
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# 19
The sum of twice a number and twelve is twenty
SPEEDY MATH: You Can Do It!
2x + 12 = 20
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# 20
The product of eleven and a number is fifty-five
SPEEDY MATH: You Can Do It!
11x = 55
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# 21
Ninety added to a number gives one hundred
SPEEDY MATH: You Can Do It!
90 + x = 100
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# 22
Four times a number decreased by one is three
SPEEDY MATH: You Can Do It!
4x – 1 = 3
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# 23
Three subtracted from five times a number is seven
SPEEDY MATH: You Can Do It!
5x – 3 = 7
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# 24
The sum of thrice a number and six equals fifteen
SPEEDY MATH: You Can Do It!
3x + 6 = 15
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# 25
The difference of two and a number is two
SPEEDY MATH: You Can Do It!
2 – x = 2
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# 26
Forty plus a number yields seventy-one
SPEEDY MATH: You Can Do It!
40 + x = 71
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# 27
The product of a number and nine is equal to ninety
SPEEDY MATH: You Can Do It!
9x = 90
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# 28
Twice a number decreased by one is seven
SPEEDY MATH: You Can Do It!
2x – 1 = 7
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# 29
A number diminished by nine equals four
SPEEDY MATH: You Can Do It!
x – 9 = 4
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# 30
Ten multiplied by a number yields eighty
SPEEDY MATH: You Can Do It!
10x = 80