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Translating Word Phrases into Algebraic Expressions or Equations
Chapter 1
Some words that have mathematical meaning are:
• Addition:
SumIncreased “More than”PlusAdd
• Subtraction:
DifferenceDecreased“Less than”MinusSubtract
Some words that have mathematical meaning are:
• Multiplication:
ProductTimesMultiply“Twice” means to
multiply by two
• Division:
QuotientDivide
Some words that have mathematical meaning are:
• Equal to:
IsEquals
• Grouping:
The quantity ofThe result of
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 1:
Two less than the product of a number and five
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 1:
Two less than the product of a number and five
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 1:
Two less than the product of a number and five 2 5
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 1:
Two less than the product of a number and five 2 - 5
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 1:
Two less than the product of a number and five 2 - multiply 5
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 1:
Two less than the product of a number and five 2 - multiply x 5
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 1:
Two less than the product of a number and five 2 - multiply x 5
5x
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 1:
Two less than the product of a number and five 2 - multiply x 5
The word “than” tells us to switch the order around.The 2 is subtracted from the 5x. 5x
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 1:
Two less than the product of a number and five 2 - multiply x 5
5 2x
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 2:
Six more than the quotient of twice a number and seven
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 2:
Six more than the quotient of twice a number and seven
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 2:
Six more than the quotient of twice a number and seven 6 2x 7
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 2:
Six more than the quotient of twice a number and seven 6 + 2x 7
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 2:
Six more than the quotient of twice a number and seven 6 + divide 2x 7
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 2:
Six more than the quotient of twice a number and seven 6 + divide 2x 7
2
7
x
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 2:
Six more than the quotient of twice a number and seven 6 + divide 2x 7
The word “than” tells us to switch the order around.The 6 is added to the 2
7
x2
7
x
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 2:
Six more than the quotient of twice a number and seven 6 + divide 2x 7
26
7
x
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
3 4 9
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
3 multiply 4 9
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
3 multiply x 4 9
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
3 multiply x 4 9
3x
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
- 3 multiply x 4 9
3x
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
- 3 multiply x 4 9
3 4x
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
- 3 multiply x 4 = 9
3 4x
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 3:
The difference of three times a number and four is nine
- 3 multiply x 4 = 9
3 4 9x
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 4:
Two times the quantity of a number and three is seven
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 4:
Two times the quantity of a number and three is seven
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 4:
Two times the quantity of a number and three is seven
2 3 7
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 4:
Two times the quantity of a number and three is seven
2 multiply 3 7
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 4:
Two times the quantity of a number and three is seven
2 multiply x 3 7
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 4:
Two times the quantity of a number and three is seven
2 multiply group x 3 7
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 4:
Two times the quantity of a number and three is seven
2 multiply group x 3 7
( 3)x
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 4:
Two times the quantity of a number and three is seven
2 multiply group x 3 7
2( 3)x
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 4:
Two times the quantity of a number and three is seven
2 multiply group x 3 7
2( 3) 7x
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 5:
The quotient of a number and two increased by three
(Don’t click to the next slide until you have done this on your own!)
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 5:
The quotient of a number and two increased by three divide x 2 + 3
3
2
x
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 6:
The difference of a number times five and two is nine
(Don’t click to the next slide until you have done this on your own!)
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
• Example 6:
The difference of a number times five and two is nine - x multiply 5 2 9
5 2 9x
When translating a word phrase into an algebraic expression or equation, it is easier to break it into smaller parts.
Good Luck!
