Chapter 47, Problem 1AR

To determine

(a)

To find out the algebraic expression for the given statement.

Answer to Problem 1AR

  $x+y-c$.

Explanation of Solution

Given information:

The sum of $x,y$ and reduces by $c$.

Calculation:

Its known that from the given problem use ofsum of $x,y$ and reduces by $c$.

Apply the rule of addition property of equality, the result is $x+y$.

Now apply the rule of subtraction property of equality, the result is

  $x+y-c$

To determine

(b)

To find out the algebraic expression for the given statement.

Answer to Problem 1AR

  $\frac{ab}{d}$.

Explanation of Solution

Given information:

The multiplication of $a,\text{ b}$ and divide by $d$.

Calculation:

It's known that from the given problem

The multiplication of $a,\text{ b}$ and divide by $d$.

Apply the multiplication property, the result is $ab$

Now apply the division property, the result is

  $\frac{ab}{d}$

To determine

(c)

To find out the algebraic expression for the given statement.

Answer to Problem 1AR

  $2M-P^2$.

Explanation of Solution

Given information:

Twice $M$ minus the square $p$.

Calculation:

Its known that from the given problem

Twice $M$ minus the square $p$.

Mathematically it can be written as

  $\begin{array}{l}\Rightarrow 2\times M-P\times P\\ \Rightarrow 2M-P^2\end{array}$