### All High School Math Resources

## Example Questions

### Example Question #1 : Simplifying And Expanding Quadratic Equations

Solve the following equation using the quadratic form:

**Possible Answers:**

**Correct answer:**

Factor the equation and solve:

or

Therefore there are four answers:

### Example Question #2 : Simplifying And Expanding Quadratic Equations

Solve the following equation using the quadratic form:

**Possible Answers:**

**Correct answer:**

Factor the equation and solve:

or

This has no solutions.

Therefore there is only one answer:

### Example Question #1 : Understanding Quadratic Equations

Evaluate

**Possible Answers:**

**Correct answer:**

In order to evaluate one needs to multiply the expression by itself using the laws of FOIL. In the foil method, one multiplies in the following order: first terms, outer terms, inner terms, and last terms.

Multiply terms by way of FOIL method.

Now multiply and simplify.

### Example Question #2 : Understanding Quadratic Equations

Evaluate

**Possible Answers:**

**Correct answer:**

In order to evaluate one needs to multiply the expression by itself using the laws of FOIL. In the foil method, one multiplies in the following order: first terms, outer terms, inner terms, and last terms. Be sure to pay attention to signs.

Multiply terms by way of FOIL method.

Now multiply and simplify, paying attention to signs.

### Example Question #1 : Quadratic Equations And Inequalities

Evaluate

**Possible Answers:**

**Correct answer:**

In order to evaluate one needs to multiply the expression by itself using the laws of FOIL. In the foil method, one multiplies in the following order: first terms, outer terms, inner terms, and last terms. Be sure to pay attention to signs.

Multiply terms by way of FOIL method.

Now multiply and simplify, paying attention to signs.

### Example Question #2 : Quadratic Equations And Inequalities

Evaluate

**Possible Answers:**

**Correct answer:**

In order to evaluate one needs to multiply the expression by itself using the laws of FOIL. In the foil method, one multiplies in the following order: first terms, outer terms, inner terms, and last terms. Be sure to pay attention to signs.

Multiply terms by way of FOIL method.

Now multiply and simplify, paying attention to signs.

### Example Question #1 : Using Foil

FOIL .

**Possible Answers:**

**Correct answer:**

Remember FOIL stands for First Outer Inner Last. That means we can take and turn it into .

Simplify to get .

### Example Question #4 : Quadratic Equations And Inequalities

FOIL .

**Possible Answers:**

**Correct answer:**

is the same thing as .

Remember that FOIL stands for First Outer Inner Last.

For this problem, that would be .

Simplify that to .

### Example Question #41 : Intermediate Single Variable Algebra

FOIL .

**Possible Answers:**

**Correct answer:**

Remember that FOIL stands for First Outer Inner Last.

For this problem that would give us:

Simplify.

### Example Question #5 : Quadratic Equations And Inequalities

FOIL .

**Possible Answers:**

**Correct answer:**

Remember that FOIL stands for First Outer Inner Last.

For this problem that would give us:

Simplify:

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