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91Ó°ÊÓ

Write an algebraic expression to represent each verbal expression.

Four times the sum of a number and 5

Short Answer

Expert verified

The algebraic expression is4x+5.

Step by step solution

01

Step-1 – Apply the concept of Verbal and Algebraic expression and Variable

The algebraic expression is obtained from verbal expression using mathematical operators like addition+, subtraction -, multiplication ×, division ÷ and many such more and variable.

In any expression or equation, the variable is an unknown quantity. It may be any alphabet or any special symbol.

02

Step-2 – Example for the variable

In the expression 4x+1, the unknown quantity is x. So, the variable in this expression is x. 4 and 1 are constants values.

03

Step-3 – Construct the Algebraic expression

Consider the provided verbal expression.

Four times the sum of a number and 5.

Let the number be x.

The mathematical operators corresponding to times ismultiplication × and to sum is addition +.

Express the verbal expression for sum of a number and 5 as x+5.

Now, this obtained expression is multiplied by 4. The algebraic expression obtained is 4x+5.

Hence, the algebraic expression is 4x+5.

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