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Transcript
Translating Words to Algebra
Addition
Words that refer to Addition
Increased
Sum
More than
Plus
Added
Notes
Example
A number increased by 2
The sum of a number and 3
4 more than a number
5 plus some number
A number added to 6
Algebra
X+2
X+3
X+4
5+X
6+X
Subtraction
Words that refer to Subtraction
Minus
Subtract
Less than
Reduced
Decreased
Remove
Example
A number minus 7
Subtract 8 from a number
9 less than a number
A number reduced by 10
11 decreased by some number
Remove 12 from some number
Algebra
X-7
X-8
X-9
X - 10
11 - X
X - 12
Multiplication
Words that refer to Multiplying
Multiplied
Times
Double
Twice
Triple
Example
A number multiplied by 13
14 times some number
Double a number
Twice some number
A number tripled
Algebra
13x
14x
2x
2x
3x
Division
Words that refer to Division
Divided by
Divide into
Quotient
Per
Half
Third
Example
A number divided by 4
Divide 5 into a number
The quotient of 6 and a number
7 per some number
Half of some number
A third of some number
Algebra
x/4
x/5
6/x
7/x
x/2
x/3
Power
Words that refer to a Power
Raised
Power
Squared
Cubed
Example
A number raised to the 2nd power
The nth power of 10
A number squared
A number cubed
Algebra
X2
10n
X2
X3
Equation / Inequality (notice that the word is appears)
Words that refer to Equation or Inequality Example
Is (without a helper word)
A number plus 2 is 5
Half of a number equals 8
Equals
Is less than
12 is less than some number
Is less than or equal to
A number is less than or equal to 13
Is more than
15 is more than a third of some number
Is more than or equal to
Some number is more than or equal to -3
Algebra
X+2=5
x/2 = 8
12 < x
X < 13
15 > x/3
X > -3