Question

Asked Feb 2, 2019

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Step 1

Hello thank you for your question as per our honor code, we are allowed to solve the three subparts only so I am providing you the solution of a, b, c part.

- The one step equation is an algebraic equation for which it can be solved in one step only. Once we solve the equation we find the value of the variable that makes the equation to be valid.
- For solving the one step equation we need to inverse the operation that is being performed on that variable, so we can get the variable itself.

Step 2

a)

If one step equation involves addition, the addition property of equality is used to solve it

Example: Let us take the simple equation of addition 5+3=8, to have an idea that an equation is balanced.

As the equations on each side of the equal sign are equal we can add the same value on each side of the equals to sign to maintain the equality. Let’s add 6 on both sides

5+3+6=8+6. Still the equation is balanced.

Now, let’s add 6 on one side of the equation 5+3+6=8

14≠8, so the equation is not balanced. Therefore, the property of equality will no longer exist.

- Addition Property of Equality

For all real numbers a, b, and c: If a = b, then a + c = b + c.

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

Step 3

b)

If one step equation involves subtraction, the subtraction property of equality is used to solve it.

Example: Let us take the simple equation of subtraction 10-5=5, to have an idea that an equation is balanced.

As the equations on each side of the equal sign are equal we can subtract the same value on each side of the equals to sign to maintain the equality. Let’s subtract 3 on both sides

10-5-3=5-3. Still the equation is balanced.

Now, let’s subtract 3 on one side of the equatio...

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