### All Algebra II Resources

## Example Questions

### Example Question #2382 : Algebra Ii

Solve for :

**Possible Answers:**

**Correct answer:**

Before we start with inverse opperations, we need x to be out of the denominator:

First multiply both sides by x- 7.

Next, divide both sides by 4.

Finally, add 7 to both sides.

### Example Question #2383 : Algebra Ii

Solve the following equation for :

**Possible Answers:**

and

No real solutions

and

**Correct answer:**

and

Solve the following equation for x:

Begin by factoring the given equation.

We want something of the following form:

Where a and b multiply to get 6 and add to get .

A good place to start would be listing the multiples of 6:1,2,3,6

2 and 3 seem like a good place to start. Since we need negative 5 and positive 6, keeping 2 and 3 negative seem like a good bet.

Because this equation is set equal to zero, we can use the zero product property rule to set each half of our factored equation equal to zero and then solve.

So we have 2 answers: and

### Example Question #2384 : Algebra Ii

Solve this equation:

**Possible Answers:**

**Correct answer:**

Combine terms by subtracting:

Convert non terms to decimals or to fractions:

We choose to convert to a fraction because it is easier.

Combine fractions by adding:

Simplify and solve for :

### Example Question #2385 : Algebra Ii

Solve:

**Possible Answers:**

**Correct answer:**

Since the bases are alike in this problem, taking the log of both sides will eliminate the base terms.

Take the natural log of both sides.

The equation becomes:

Solve for .

The answer is:

### Example Question #2386 : Algebra Ii

Solve the equation for

**Possible Answers:**

**Correct answer:**

Divide both sides by

### Example Question #61 : Solving Equations

Solve the system of equations.

**Possible Answers:**

**Correct answer:**

Use elimination, multiply the top equation by -4 so that you can eliminate the X's.

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Combine these two equations, and then you have;

Plug in y into one of the original equations and solve for x.

Your solution is .

### Example Question #2387 : Algebra Ii

Find a solution to the following equation:

**Possible Answers:**

**Correct answer:**

Find a solution to the following equation:

We can solve for x using basic algebra.

Begin by subtracting 45:

Now, divide by -13 to find the final answer:

Making our answer:

### Example Question #61 : Solving Equations

**Possible Answers:**

The answer is not present

**Correct answer:**

Isolate the term with x:

Simplify:

Isolate x entirely:

### Example Question #2389 : Algebra Ii

**Possible Answers:**

Cannot be solved

**Correct answer:**

Square both sides to remove the radical:

Move all terms to the left side and set equal to 0:

Factor the quadratic and set the factors equal to 0:

Solve the factors:

### Example Question #61 : Solving Equations

Solve for x:

**Possible Answers:**

Cannot be solved

**Correct answer:**

Subtract to move all x terms to the same side:

Factor out an x:

Divide to isolate x completely:

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