Question

Write an algebraic expression for statement "Take a number. Multiply it by $2$ and then add $10$ ". Also, find out the values of expression by substituting values $1,2,3,4$ and $5$ for the unknown variables.

Answer 1

Step-1: For writing an algebraic expression for the given statement:

Let a number be $x$.

An algebraic expression for statement "take a number. Multiply it by $2$ and then add $10$" $=2x+10$

Step-2: For finding values in expression:

By substituting values of $x=1,2,3,4$ and $5$ in expression

For $x=1,2x+10=2\times 1+10=2+10=12$

For $x=2,2x+10=2\times 2+10=4+10=14$

For $x=3,2x+10=2\times 3+10=6+10=16$

For $x=4,2x+10=2\times 4+10=8+10=18$

For $x=5,2x+10=2\times 5+10=10+10=20$

Thus, the values of expression $2x+10$ by substituting values $x=1,2,3,4$ and $5$ is $12,14,16,18,20$.

Hence, the expression for given statement is $2x+10$ and the values of expression $2x+10$ by substituting values $x=1,2,3,4$ and $5$ are $12,14,16,18,20$ repectively.