Question

Look at each problem. Then decide if it is an equation or an expression. Check all the equations. A number decreased by three is seven. 9 + n the product of a number and eleven The quotient of a number and six is two. x – 5 = 21

Answer 1

ADE

Explanation:

Answer 2

Equations:

• A number decreased by three is seven.

• The quotient of a number and six is two.

• x – 5 = 21

Expressions:

• 9 + n

• The product of a number and eleven

Explanation:

Required

Determine which is an expression and which is an equation

To start with, we analyse each of the options one after the other

(a): A number decreased by three is seven.

Let the number be n

So, when n is increased by 3, the result is 7.

This statement can be represented as:

`n + 3 = 7`

The above is an equation because it has an = sign

(b) 9 + n

This is not an equation because it has no = sign.

Hence, it is an expression.

(c) The product of a number and eleven

Let the number be n

n multiplied by 11 is represented as:

`n * 11`

This is not an equation because it has no = sign.

Hence, it is an expression.

(d) The quotient of a number and six is two.

Let the number be n

So, the quotient of n and 6, is 2.

This statement can be represented as:

`(n)/(6) = 2`

The above is an equation because it has an = sign

(e) x – 5 = 21

The above is an equation because it has an = sign