Translating English Phrases Into Algebraic Expressions Flashcards
Ten more than a number
x + 10
A number added to five
5 + x
A number increased by thirteen
x + 13
Four less than ten
10 − 4
Six less than a number
x − 6
A number decreased by seven
x − 7
The difference between a number and three
x − 3
The difference between three and a number
3 − x
Twice a number
2x
Half (of) a number
(1/2)x or 2/x
A number squared or the square of a number
x^2
The square of five more than a number
(x + 5)^2
Five more than the square of a number or the square of a number, increased by five
x^2 + 5
Ten percent of a number
0.10x
Ten times a number
10x
Quotient of a number and three
x/3
Quotient of three and a number
3/x
Five times the sum of a number and two
5(x + 2)
Five times the difference of a number and four
5(x − 4)
Five is three more than a number
5 = x + 3
The product of two and a number is ten
2x = 10
One half (of) a number is ten
1/2x = 10
Ten less than eight times a number is five more than the number
8x − 10 = x + 5
The sum of five times a number and ten is equal to the product of 15 and the number
5x + 10 = 15x
The sum of two consecutive integers
x+ (x + 1)
The sum of two consecutive even integers
x+ (x + 2)
The sum of two consecutive odd integers
x+ (x + 2)
The sum of the squares of two consecutive integers
x^2 + (x + 1)^2
The sum of the cubes of two consecutive integers
x^3 + (x + 1)^3