# Algebra 1 : Linear / Rational / Variable Equations

## Example Questions

← Previous 1 3 4 5 6

### Example Question #1 : Linear Equations

Solve for :

Explanation:

can be simplified to become

Then, you can further simplify by adding 5 and  to both sides to get .

Then, you can divide both sides by 5 to get .

### Example Question #1 : Systems Of Equations

What number is six less than eight more than one half of four times the square of the greatest negative integer?

Explanation:

Turn the word problem into math.  Start at the end--what is the greatest negative integer?  -1!

### Example Question #2 : Systems Of Equations

Explanation:

Remember to cancel as you go--the 18 will cancel with the 27, the 4 will cancel with the 8, and so on:

Continue to reduce:

### Example Question #1 : How To Find The Solution To An Equation

Solve for :

Explanation:

To solve for , you must first combine the 's on the right side of the equation. This will give you .

Then, subtract  and from both sides of the equation to get .

Finally, divide both sides by  to get the solution .

### Example Question #3 : Systems Of Equations

Solve for :

Explanation:

First, use the distributive property to simplify the right side of the equation: . Then, subtract and add 4 to both sides to separate the 's and the integers to get . Divide both sides by 3 to get .

### Example Question #4 : Systems Of Equations

Solve for :

Explanation:

To solve for , first divide both sides by : . Then, subtract both sides by to get .

Explanation:

### Example Question #6 : Systems Of Equations

Explanation:

1.  First simplify the first expression:

2.  Then, simplify the next two expressions:

### Example Question #7 : Systems Of Equations

Solve for x.

Explanation:

1.  First solve for the numerator by plugging in -2 for x:

2.  Then, solve the denominator by combining the fractions:

3.  Finally, "rationalize" the complex fraction by multiplying top and bottom by -2/5:

### Example Question #8 : Systems Of Equations

If x/y is equivalent to 12/20, what is the value of x?