# High School Math : How to solve two-step equations with fractions in pre-algebra

## Example Questions

### Example Question #1 : How To Solve Two Step Equations With Fractions In Pre Algebra

Solve for :

Explanation:

This equation can be solved in three steps.

First, subtract  from both sides of the equation to isolate the variable and its coefficient on the left side of the equation.

Now multiply both sides by  since  cannot be solved for while it is in the denominator.

Finally, divide both sides by  to isolate  and find the solution.

### Example Question #2 : How To Solve Two Step Equations With Fractions In Pre Algebra

Solve for .

Explanation:

Multiply both sides by .

Divide both sides by 6.

### Example Question #3 : How To Solve Two Step Equations With Fractions In Pre Algebra

Solve for .

Explanation:

We need to isolate . First, subtract from both sides.

Multiply both sides by .

Finally, divide both sides by .

### Example Question #4 : How To Solve Two Step Equations With Fractions In Pre Algebra

Solve for the value of .

Explanation:

We need to work to isolate the variable using inverse functions.

Subtract  from both sides.

Multiply both sides by .

### Example Question #5 : How To Solve Two Step Equations With Fractions In Pre Algebra

Solve for .

Explanation:

From here, you can either plug this into your calculator, or take the equation in pieces:

### Example Question #6 : How To Solve Two Step Equations With Fractions In Pre Algebra

Solve for .

Explanation:

To solve , first we need to get rid of the fraction. Dividing by a fraction is the same as multiplying by a reciprocal, so multiply both sides by .

Subtract  from both sides.

### Example Question #1 : How To Solve Two Step Equations With Fractions In Pre Algebra

Solve for .

Explanation:

To solve , we need to get rid of the fraction. To do that, we multiply both sides by the reciprocal of that fraction.

From here, you can either plug that fraction into your calculator or solve in pieces.

### Example Question #8 : How To Solve Two Step Equations With Fractions In Pre Algebra

Solve for .

Explanation:

To solve for , we need to isolate our variable. That means that we want ONLY the  on the left side of the equation.

First, combine our like terms on the right side.

Now divide both sides by . Remember, dividing by a fraction is the same as multiplying by the reciprocal, so we're going to multiply both sides by .

Since , we can ignore it.

### Example Question #9 : How To Solve Two Step Equations With Fractions In Pre Algebra

A glass jar is filled to the top with 100 blue marbles, 75 red marbles, and 25 yellow marbles. Each time a marbles is picked from the jar, it must be returned to the jar before another marble is picked again. What is the probability of picking a red marble?

Explanation:

First, find the total number of marbles in the glass jar:  marbles in total.

It is given that there are 75 red marbles, thus: .