# Algebra 1 : How to solve one-step equations

## Example Questions

### Example Question #11 : How To Solve One Step Equations

What is the smaller root of ?

Explanation:

To determine the roots of the equation, you must set each expression equal to 0. In this case, there are two expressions being multiplied. Thus, you must set and , which would give you  and  as roots, with being the smaller root.

### Example Question #12 : Algebra 1

Solve for :

Explanation:

Simplify the equation to get . Simplify further to get , which then gives you .

Explanation:

### Example Question #14 : Algebra 1

Explanation:


### Example Question #12 : Algebra 1

Solve for .

Explanation:

Multiply the terms in parentheses using the distributive property.

Then, combine like terms on both sides of the equation.

Then, put the  terms on the left and the integers on the right:

Divide both sides by two to isolate .

Solve for .

Explanation:

Simplify.

### Example Question #11 : Algebra 1

Solve for :

Explanation:

Since both sides of the equation have , you can eliminate both from the equation with the knowledge that they would cancel each other out. This gives you the shorter equation of

.

Add  to both sides to get

.

Finally, divide both sides by  to get .

### Example Question #18 : Algebra 1

Solve for

Explanation:

Solve by isolating  on one side of the equation by itself

Multiply each side of equation by 11

### Example Question #19 : Algebra 1

Solve for .

Explanation:

Add 15 to each side of the equation.

Solve for :