# GED Math : Single-Variable Algebra

## Example Questions

### Example Question #81 : Single Variable Algebra

Solve for :

Explanation:

One way to solve a linear equation with fractional coefficients is to first multiply both sides by their least common denominator; this is the least common multiple of 5 and 7, which is 35, so multiply by this:

Since fractions are involved, change 35 to , and distribute on the left side:

Cross-cancel and multiply fractions across:

Isolate  on the left side by first adding 15 to both sides:

Divide both sides by 10:

### Example Question #81 : Algebra

Which of the following makes this equation true:

Explanation:

To answer the question, we will solve for y. We get

### Example Question #82 : Algebra

Solve the equation:

Explanation:

Subtract 4 on both sides.

Divide by 2 on both sides.

### Example Question #83 : Algebra

Solve for :

Explanation:

Distribute the right side.

Subtract  on both sides.

### Example Question #84 : Algebra

Solve for the variable:

Explanation:

Divide by 9 on both sides.

Reduce both sides.

### Example Question #85 : Algebra

Solve for the variable:

Explanation:

Subtract  from both sides.

### Example Question #81 : Algebra

Give the solution set:

Explanation:

First, distribute the 9 on the left by multiplying it by each expression in the parentheses:

Isolate  on the right by first, subtracting 162 from both sides:

Divide both sides by 9:

The correct solution set is .

### Example Question #86 : Algebra

Which of the following makes this equation true:

Explanation:

To answer the question, we will solve for x. So, we get

### Example Question #87 : Algebra

Solve for :

Explanation:

Subtract five from both sides.

Divide by three on both sides.

### Example Question #88 : Algebra

Solve the equation:

Explanation: