## Example Questions

### Example Question #1 : How To Find The Solution To A Rational Equation With Lcd

John, Jill, and Jack are splitting a pizza. John eats of the pizza and Jill eats of the pizza. How much of the pizza is left for Jack?      Explanation:

We can write an equation for the amount of pizza eaten, with as the amount left for Jack. To solve this equation, we must find the lowest common denominator of and . We can list the multiples of and to find the least common multiple:  We can see that the least common multiple of and is , so we can rewrite each of the fractions with a denominator of .  When we put these fractions back into the equation, we can solve for :   ### Example Question #121 : Equations / Inequalities

What is the slope of a line represented by the equation:      Explanation:

To solve problems where you need to find the slope of a line in a given equation, change the equation so that it matches y-intercept form: For this equation, first move the 3x over to the other side of the equation.   The equation should now look like this: Then, divide by 15 to isolate the variable . Then simplify Whatever number is before the x in the equation (m) is your slope. ### Example Question #1 : How To Find The Solution To A Rational Equation With Lcd 1

–1

0

–2

2

2

Explanation:   ### Example Question #1883 : Sat Mathematics –b/(+ 1)

b/(m+ 1)

–bm/(m+ 1)

bm/(m+ 1)

b/(m– 1)

b/(m+ 1)

Explanation:  ### Example Question #12 : Equations / Inequalities

In the equation below, , , and are non-zero numbers. What is the value of in terms of and ?          