Question

P L E A S E H E L P ! ! !

Translate each verbal sentence/phrase into an algebraic expression or equation.

1. The product of a number x and 6 is 21

2. The sum of the quantity x- 3 and y


3. The quotient of x and z is y


4. The difference of 2 and x is p.

Answer 1

1) 6x = 21

2) x + y - 3

3) x/z = y

4) 2-x = p

Explanation:

1. The product of a number x and 6 is 21

A product is a multiplication. A product of a and b is a * b.

We then have a product of x and 6, that x * 6, which we write usually in the format 6x.

is 21: that means it's equal to 21....

so 6x = 21.

2. The sum of the quantity x- 3 and y

The sum is an addition. The sum of a and b is a + b.

In this case, the first part is x - 3, the second part is y

So, x - 3 + y, which we usually rewrite as x + y - 3

3. The quotient of x and z is y

A quotient is a division.

So, quotient of x and z is x/z.

x/z = y

4. The difference of 2 and x is p.

A difference is a subtraction.

Difference of 2 and x is 2 - x

2 - x = p