To translate words to algebraic equations or expressions, we should know about what are words to be used to represent algebraic operations.
For addition (+) :
Sum, plus, more than, added to,.........
For subtraction (-) :
Difference, less than, reduced, subtracted from ...................
For multiplication (x) :
Times, product, multiplied by,...........
For division (/) :
Divided by, quotient, ............
Translate the verbal phrase to algebraic expressions.
Problem 1 :
Six less than twice a number x is four
Solution :
Six less than = -6 Twice a number = 2x is = equal sign |
2x - 6 = 4 |
Problem 2 :
Four more than the product of 2 and a
Solution :
Four more than = + 4 Product of 2 and a = 2a |
4 + 2a |
Problem 3 :
Nine times a number decreased by four
Solution :
Let the number be x.
Nine time a number = 9x Decreased by 4 = -4 |
9x - 4 |
Problem 4 :
Seven more than the quotient of a number and 2 is 10
Solution :
Let the number be x.
Seven more than = +7 Quotient of a number and 2 = x/2 is = equal sign |
(x/2) + 7 = 10 |
Problem 5 :
One less than the product of four and a number is 11.
Solution :
Let x be the required number.
One less than = -1 Product of 4 and a number = 4x is = equal sign |
4x - 1 = 11 |
Problem 6 :
Ten more than the quotient of a number and 3 is 12.
Solution :
Let x be the required number.
Ten more than = +10 Quotient of a number and 3 = x/3 is = equal sign |
(x/3) + 10 = 12 |
Problem 7 :
The sum of 9 and the quotient of x and 7 is 11.
Solution :
Sum of 9 = +9 Quotient of x and 7 = x/7 is = equal sign |
(x/7) + 9 = 11 |
Problem 8 :
The product of 8 and the difference of n and 3.
Solution :
Product of 8 = 8 Difference of n and 3 = n - 3 |
8(n - 3) |
Problem 9 :
1) Two less than the quotient of 15 and a number.
(15/x) - 2
2) Five times the sum of six and some number.
Let x be some number.
5(x + 6)
3) The quotient of 7 and d decreased by 9.
d decreased by 9 :
d - 9
7/(d - 9)
4) Twice the difference of y and three
2(y - 3)
5) The difference of 9 and the quotient of s and –4
9 - s/(-4)
9 + (s/4)
6) The sum of 5 and product of 7 and x
5 + 7x
7) Three more than quotient of 5 and a
3 + (5/a)
8) The product of 4 and the difference of x and 3
4(x - 3)
May 21, 24 08:51 PM
May 21, 24 08:51 AM
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