How to solve one-step equations

Help Questions

Algebra › How to solve one-step equations

Questions 1 - 10
1

Solve for :

Explanation

In order to solve for , we will need to isolate to one side of the equation.

Add to both sides of the equation.

2

Solve for .

Explanation

To solve this equation we will need to isolate the variable on one side of the equation with all other constants on the other side. To isolate the variable perform opposite operations to manipulate the equation.

Subtract on both sides. Since is greater than and is negative, our answer is negative.

We treat as a normal subtraction.

3

Solve for :

Explanation

Subtract on both sides. Since is greater than and is negative, our answer is negative. We treat as a normal subtraction.

4

Solve for .

Explanation

Subtract on both sides. When adding with another negative number, just treat as an addition problem and then add a negative sign in front.

5

Solve the equation:

Explanation

In order to solve for , subtract 19 from both sides of the equation.

Simplify both sides.

The answer is:

6

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.

7

Solve for .

Explanation

Add on both sides.

8

Solve for the unknown variable:

Explanation

In order to isolate , divide by nine on both sides.

Simplify both sides. The right side can be rewritten into factors of three.

Cancel the threes to reduce the fraction .

The answer is:

9

Solve for .

Explanation

In order to solve for , we need to isolate the variable on the left side of the equation. We will do this by performing the same operations to both sides of the equation.

Add to both sides of the equation. Since is greater than and is positive, our answer is positive. We will treat the operation as a subtraction problem.

Simplify and rewrite.

Solve.

10

Solve the equation:

Explanation

In order to isolate the unknown variable, we will need to subtract nine on both sides of the equation.

The left side simplifies to only x, and the right side of the equation will also simplify.

The answer is .

Page 1 of 54
Return to subject