### All Algebra 1 Resources

## Example Questions

### Example Question #1 : How To Add Polynomials

Subtract from .

**Possible Answers:**

**Correct answer:**

Subtract the first expression from the second to get the following:

This is equal to:

Combine like terrms:

### Example Question #1 : How To Add Polynomials

Simplify the following:

**Possible Answers:**

**Correct answer:**

### Example Question #1 : Simplifying Expressions

Simplify x(4 – x) – x(3 – x).

**Possible Answers:**

0

x

3x

1

x^{2}

**Correct answer:**

x

You must multiply out the first set of parenthesis (distribute) and you get 4x – x^{2}. Then multiply out the second set and you get –3x + x^{2}. Combine like terms and you get x.

x(4 – x) – x(3 – x)

4x – x^{2} – x(3 – x)

4x – x^{2} – (3x – x^{2})

4x – x^{2} – 3x + x^{2} = x

### Example Question #2 : Simplifying Polynomials

Simplify the following expression.

**Possible Answers:**

**Correct answer:**

This is not a FOIL problem, as we are adding rather than multiplying the terms in parenteses.

Add like terms to solve.

Combining these terms into an expression gives us our answer.

### Example Question #4 : How To Add Polynomials

Simplify the expression.

**Possible Answers:**

None of the other answers are correct.

**Correct answer:**

When simplifying polynomials, only combine the variables with like terms.

can be added to , giving .

can be subtracted from to give .

Combine both of the terms into one expression to find the answer:

### Example Question #5 : How To Add Polynomials

Simplify the following expression.

**Possible Answers:**

**Correct answer:**

This is not a FOIL problem, as we are adding rather than multiplying the terms in parentheses.

Add like terms to solve.

and have no like terms and cannot be combined with anything.

5 and -5 can be combined however:

This leaves us with .

### Example Question #6 : How To Add Polynomials

Find the LCM of the following polynomials:

, ,

**Possible Answers:**

**Correct answer:**

LCM of

LCM of

and since

The LCM

### Example Question #7 : How To Add Polynomials

Add:

**Possible Answers:**

**Correct answer:**

First factor the denominators which gives us the following:

The two rational fractions have a common denominator hence they are like "like fractions". Hence we get:

Simplifying gives us

### Example Question #8 : How To Add Polynomials

Simplify

**Possible Answers:**

**Correct answer:**

To simplify you combind like terms:

Answer:

### Example Question #2 : How To Add Polynomials

Combine:

**Possible Answers:**

**Correct answer:**

When combining polynomials, only combine like terms. With the like terms, combine the coefficients. Your answer is .