Question

Which shows the algebraic representation of the phrase and its value when n = 4. 2? ""twenty-eight plus the product of five and a number"" 28 minus 5 n; when n = 4. 2 the value is 7 28 5 n; when n = 4. 2 the value is 49 28 n minus 5; when n = 4. 2 the value is 112. 6 28 n 5; when n = 4. 2 the value is 122. 6.

Answer 1

The algebraic representation of the phrase is 28+5n and when n  is 4.2, then the value is 49.

What is algebraic expression?

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic expression-

• Identify all the factors of the expression.
• Assume a variable for the changing values.
• Put a coefficient for the variable, if there is any rate of change of variable.
• Use constant numbers for the fixed values.

The statement given in the problem is that the twenty-eight plus the product of five and a number.

Let suppose the unknown number is n. Now the product of this number with 5 can be written as,

$5\times n\\5n$

As, the equation is made when the number 28 is plus in this product. Thus the algebraic representation of the phrase is,

$28+5n$

When the value of n is 4.2, then the value of this algebraic would be,

$28+5(4.2)\\28+21\\49$

Hence, the algebraic representation of the phrase is 28+5n and when n  is 4.2, then the value is 49.

Learn more about the algebraic expression here;

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