Question

How do you write “twice y” as an algebraic expression?

Answer 1

Hint: Variables are the symbols representing some changing quantities. We write the algebraic expressions using these variables. An algebraic expression is an expression that involves variables and numbers by mathematical operators. An algebraic expression like \[y=2x+1\], can be read as “y is equal to twice of x plus 1”.

Complete step by step answer:
As per the given question, we are given an algebraic expression in the form of a word phrase. We have to express this algebraic expression using the given word phrase. Here, we have to find the algebraic expression for the word phrase “twice y”.
Using the given word phrases, we can easily find the algebraic expression. For example, when it is given as “x square is equal to 64”, it means that the square of x is equal to 64. It is represented as \[{{x}^{2}}=64\].
Actually “twice y” means that the value would be twice the value of y. Twice means two times of a quantity or variable. It means that “twice y” can be expressed as two times of y. That is, \[2\times y=2y\]. Hence, “twice y” is “ \[2y\] ”.
 Therefore, “ \[2y\] ” is the algebraic expression of “twice y”.

Note:
 While converting the word phrases into algebraic expressions, we need to understand the word phase correctly. Wrong interpretation leads to wrong solutions. Like when we multiply by 3 instead of 2 for the word phrase “twice y”. When we have to multiply any number to a variable, like in the case of multiplying 2 to the variable y to get \[2y\], we should concentrate on the calculation part.