Download Translating Words/Phrases to Math Expressions

Translating Words/Phrases to Math Expressions
Let x be the smaller number.
Let y be the larger number
Phrase
Translation
4 more than the smaller
2 less than the larger
twice the smaller
twice the larger
3 more than 4 times the smaller
2 less than 3 times the larger
two numbers add up to 10
the total/sum of 2 numbers is 20
sum of 2 numbers
two numbers differ by 4
the smaller number is decreased by 4
the larger number is decreased by 4
square of a smaller number
the larger number squared
Write the System of Equations for the following. Don’t solve the system.
#1. The sum of two numbers is 20. The larger is equal to 4 more than the square of the smaller.
#2. Three more than twice the smaller is equal to the larger. When the square of the smaller is
decreased by the smaller, the result is 4 more than the larger.
#3. The sum of a smaller number and three times the larger is 48. The larger number when
added to the sum of the square of the smaller and twice the smaller is 50.
Translating Words/Phrases to Math Expressions
Let x be the smaller number.
Let y be the larger number
Phrase
Translation
4 more than the smaller
x+4
2 less than the larger
y–2
twice the smaller
2x
twice the larger
2y
3 more than 4 times the smaller
4x+3
2 less than 3 times the larger
3y–2
two numbers add up to 10
x+y=10
the total/sum of 2 numbers is 20
x+y=20
sum of 2 numbers
x+y
two numbers differ by 4
y–x=4
the smaller number is decreased by 4
x–4
the larger number is decreased by 4
y–4
square of a smaller number
x2
the larger number squared
y2