Question

write an algebraic expression for each verbal expression. 1. The quotient of 45 and r 2. Three times a number plus 16 3. 18 decreased by 3 times d 4. k squared minus 11 5. 20 divided by t to the fifth power

Answer 1

1. The quotient of 45 and r.

This statement can be expressed as

`(45)/(r)`

When we express a quotient, the statement will first give you the numerator, then the denominator.

2. Three times a number plus 16.

This statement can be expressed are

`3n+16`

In this case, "three times" refers to a coefficient of 3, "number" is expressed as a variable n.

3. 18 decreased by 3 times d.

In this case, "decreased" means subtraction.

`18-3d`

4. k squared minus 11.

`k^2-11`

"Squared" refers to a quadratic power.

5. 20 divided by t to the fifth power​.

This statement can be expressed as

`(20)/(t^5)`