Algebra 1 : How to solve one-step equations

Example Questions

Example Question #461 : Algebra 1

Solve for .

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

Since  is greater than  and is positive, our answer is positive. Therefore, we treat it as a subtraction problem.

Example Question #462 : Algebra 1

Solve for .

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

Since  is greater than  and is negative, our answer is negative. Therefore, we treat it as a subtraction problem.

Example Question #463 : Algebra 1

Solve for .

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

Multiply  on both sides.

Example Question #464 : Algebra 1

Solve for .

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

Divide  on both sides. When dividing with a positive number, the answer is negative.

Example Question #465 : Algebra 1

Solve for .

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

Divide  on both sides. When dividing with another negative number, our answer is positive.

Example Question #466 : Algebra 1

Solve for .

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

Multiply  on both sides.

Example Question #467 : Algebra 1

Solve for .

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

Multiply  on both sides.

When multiplying with a negative number, the answer is negative.

Example Question #468 : Algebra 1

Solve for .

Explanation:

To solve, isolate the variable on one side of the equation with all other constants on the other side. Do this by performing the opposite operations.

Multiply  on both sides.

When multiplying with another negative number, the answer is positive.

Example Question #469 : Algebra 1

Solve the equation:

Explanation:

In order to solve for the unknown variable, we will need to multiply by the reciprocal of the fraction in front of the unknown variable.

Simplify both sides.

Solve for .