### All Algebra 1 Resources

## Example Questions

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

Solve for :

**Possible Answers:**

**Correct answer:**

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 #2 : How To Find The Solution To An Equation

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

**Possible Answers:**

**Correct answer:**

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

### Example Question #3 : How To Find The Solution To An Equation

**Possible Answers:**

**Correct answer:**

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 #4 : How To Find The Solution To An Equation

Solve for :

**Possible Answers:**

**Correct answer:**

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 #5 : How To Find The Solution To An Equation

Solve for :

**Possible Answers:**

**Correct answer:**

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 #6 : How To Find The Solution To An Equation

Solve for :

**Possible Answers:**

**Correct answer:**

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

### Example Question #7 : How To Find The Solution To An Equation

**Possible Answers:**

**Correct answer:**

### Example Question #8 : How To Find The Solution To An Equation

**Possible Answers:**

**Correct answer:**

1. First simplify the first expression:

2. Then, simplify the next two expressions:

3. Finally, add and subtract:

### Example Question #9 : How To Find The Solution To An Equation

Solve for x.

**Possible Answers:**

**Correct answer:**

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 #10 : How To Find The Solution To An Equation

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

**Possible Answers:**

**Correct answer:**

Multiply both sides by the denominator (2y +4) to cancel it:

Now, use substitution to solve for x:

Substitute 10x for 6y in the first equation:

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