Answer :
a. The number 3 more than x is written as 3 + x.
b. the difference between 3x and 5 is 3x - 5.
c. 3 times the difference between x and y is 3(x + y).
d. The difference between 2x and 3y is 2x -3y.
Algebraic expressions are mathematical expressions that are made up of variables and constants, along with arithmetic operations like addition, subtraction, multiplication, and division.
a. The number 3 more than x.
3 more than x implies that the number is greater than x by 3.
Hence, it can be written as 3 + x.
b. the difference between 3x and 5.
The difference means the subtraction is to be done.
Hence, it can be written as 3x - 5.
c. 3 times the difference between x and y.
firest we take the difference between x and y i.e. x-y
then we multiply it by 3.
Hence, it can be written as 3(x + y).
d. The difference between 2x and 3y.
The terms are to be subtracted as the difference is mentioned.
Hence, it can be written as 2x -3y.
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The complete question is -
Write the algebraic equations in mathematical form.
a. What is a number 3 more than X?
b. What is the difference between 3x and 5?
c. What does 3 times the difference between x and y?
d. What is the difference between 2x and 3y?