Question

What is the algebraic expression for “Two times the sum of a number and six”?

Answer 1

Hint: First we need to convert the given word problem into algebraic expression. That is an algebraic expression in mathematics is an expression which is made up of variables and constants along with algebraic operations. An expression is a group of terms. Here algebraic operations are addition, subtraction, division and multiplication etc. After obtaining the algebraic expression we can simplify.

Complete step-by-step solutions:
Given,
Two times the sum of a number and six
Here we have a number and we don’t know that value and we take it as ‘x’.
Then two times the sum of a number means \[ = 2x\]
Then two times the sum of a number and six means
\[ \Rightarrow 2x + 6\].
This is the required answer. We can find the value of the expression if we know the value of ‘x’

Thus the final answer is 2x+6.

Note: Algebra helps in converting a mathematical statement into an equation. We know if we have ‘more’ or ‘sum’ in the given sentence we use addition operation\[( + )\]. Similarly If we have ‘less’ or ‘difference’ we use subtraction \[( - )\]. If we have a ‘quotient’ we use division operation \[( \div )\]. To define more generalized terms; we use algebra. It is a very vast branch of mathematics and is used in all the branches of mathematics like polynomial, linear equations, graphs, etc. and in daily life too.