Question

Which phrases can be represented by the algebraic expression x 14? Select three options. The quotient of a number and 14 a number plus 14 fourteen less than a number fourteen more than a number a number increased by 14.

Answer 1

Algebraic expression is the combination of variables, coefficients and the constants. The phrase 2,4 and 5 represents the given algebraic equation.

Given information-

The given algebraic expression in the problem is,

$x+14$

Algebraic expression

Algebraic expression is the combination of variables, coefficients and the constants.

Above expression has the a unknown number $x$. The expression refer that the number 14 is added in the unknown number $x$.

Lets check all the phrase one by one,

• The quotient of a number and 14-

The option 1 is the quotient of a number and 14. Here the unknown number is $x$. Thus the expression for this option can be given as,

$=\dfrac{x}{14}$

This phrase does not represent the given expression. Thus the option 1 is incorrect option.

• 2) A number plus 14-

The option 2 is a number plus 14. Here the unknown number is $x$. The term plus refers the addition of 14 in the unknown number.Thus the expression for this option can be given as,

$=x+14$

This phrase represents the given expression. Thus the option 2 is correct option.

• 3) Fourteen less than a number-

The option 3 is fourteen less than a number. Here the unknown number is $x$. The term less than refers to subtract 14 from the number. Thus the expression for this option can be given as,

$=x-14$

This phrase does not represent the given expression. Thus the option 3 is incorrect option.

• 4)  Fourteen more than a number

The option 4 is fourteen more than a number. Here the unknown number is $x$. The term more refers the addition of 14 in the unknown number. Thus the expression for this option can be given as,

$=x+14$

This phrase represents the given expression. Thus the option 4 is correct option.

• 5)  a number increased by 14.

The option 5 is a number increased by 14. Here the unknown number is $x$. The term increased refers the addition of 14 in the unknown number. Thus the expression for this option can be given as,

$=x+14$

This phrase represents the given expression. Thus the option 5 is correct option.

Hence the phrase 2,4 and 5 represents the given algebraic equation.

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