### All PSAT Math Resources

## Example Questions

### Example Question #51 : Algebra

Simplify:

**Possible Answers:**

**Correct answer:**

All operations are addition, so we can first remove the parentheses:

Now rearrange the terms so that like terms are next to each other:

Combine like terms:

### Example Question #52 : Algebra

Add, expressing the result in simplest form:

**Possible Answers:**

**Correct answer:**

### Example Question #53 : Algebra

Add, expressing the result in simplest form:

**Possible Answers:**

**Correct answer:**

### Example Question #51 : Algebra

Add, expressing the result in simplest form:

**Possible Answers:**

**Correct answer:**

### Example Question #55 : Algebra

Add, expressing the result in simplest form:

**Possible Answers:**

**Correct answer:**

### Example Question #56 : Algebra

Find the sum:

Write the answer in standard form.

**Possible Answers:**

**Correct answer:**

Find the sum:

Write the answer in standard form.

Combine like terms:

Write the answer in standard form (terms with the highest degree first):

### Example Question #21 : Simplifying Expressions

Evaluate the following:

**Possible Answers:**

**Correct answer:**

With this problem, you need to take the trinomials out of parentheses and combine like terms. Since the two trinomials are being added together, you can remove the parentheses without needing to change any signs:

The next step is to combine like terms, based on the variables. You have two terms with , two terms with , and two terms with no variable. Make sure to pay attention to plus and minus signs with each term when combining like terms:

### Example Question #58 : Algebra

Evaluate the following:

**Possible Answers:**

**Correct answer:**

With this problem, you need to distribute the two fractions across each of the trinomials. To do this, you multiply each term inside the parentheses by the fraction outside of it:

The next step is to combine like terms, based on the variables. You have two terms with , two terms with , and two terms with no variable. Make sure to pay attention to plus and minus signs with each term when combining like terms. Since you have a positive and negative , those two terms will cancel out:

### Example Question #59 : Algebra

Evaluate the following:

**Possible Answers:**

**Correct answer:**

To add these two trinomials, you will first begin by combining like terms. You have two terms with , two terms with , and two terms with no variable. For the two fractions with , you can immediately add because they have common denominators:

### Example Question #60 : Algebra

Add:

**Possible Answers:**

**Correct answer:**

To add trinomials, identify and group together the like-terms: . Next, factor out what is common between the like-terms:. Finally, add what is left inside the parentheses to obtain the final answer of .

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