Question

Write an algebraic expression for the statement:

\frac{2}{3}

more than the product of

b

and

6

Accepted Answer

To write an algebraic expression for the statement: $\frac{2}{3}$ more than the product of $b$ and $6$

An algebraic expression is an expression built up from constants, variables and algebraic operations.

A symbol that has a fixed numerical value is called a constant. Examples: $4, - 8, \frac{7}{23}, . . .$

A symbol that does not have a fixed value is called a variable. Examples: $a, b, l, m, . . . .$

A term is a variable alone or a constant alone or it can be a combination of variables and constants by the operation of multiplication or division. Examples: $5 m, \frac{5}{8} n^{2}, . . . .$ The numbers that are multiplied by the variables are called coefficients. In $5 m$ , the coefficient of $m$ is $5$ .

Examples of algebraic expression: $4 x + 6 y + 9 x y, 56 x^{2}, 4 l - 8 m, . . .$

In the given statement, we have the product of $b$ and $6$ is $6 b$ .

Now, the expression for $\frac{2}{3}$ more than $6 b$ is $6 b + \frac{2}{3}$ .

Therefore, an algebraic expression for the statement: $\frac{2}{3}$ more than the product of $b$ and $6$ is $6 b + \frac{2}{3}$ .

Embibe Experts Solutions for Chapter: Introduction to Algebra, Exercise 2: Try It!

Embibe Experts Mathematics Solutions for Exercise - Embibe Experts Solutions for Chapter: Introduction to Algebra, Exercise 2: Try It!

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