### All HiSET: Math Resources

## Example Questions

### Example Question #1 : Algebraic Concepts

Identify the terms in the following equation:

**Possible Answers:**

All of these

**Correct answer:**

All of these

In an equation, a term is a single number or a variable. in our equation we have the following terms:

### Example Question #1 : Algebraic Concepts

How many terms are in the following expression: ?

**Possible Answers:**

None of the Above

**Correct answer:**

Step 1: We need to separate and arrange the terms in the jumbled expression given to us in the question..

We will separate the terms by the exponent value.

For , there is only one term:

For , there are no terms.

For , there is two terms:

For , there are two terms:

For , there are two terms:

For , there is only one term:

For , there are two terms:

For , there are three terms:

There are four constant terms:

Step 2: We will now add up the coefficients in each designation of terms. This will give us the answer.

### Example Question #1 : Algebraic Concepts

Simplify the polynomial

.

How many terms does the simplified form have?

**Possible Answers:**

Six

Five

Two

Three

Four

**Correct answer:**

Four

Arrange and combine like terms (those with the same variable) as follows:

Since each term now has a different exponent for the variable, no further combining is possible. The simplified form has four terms.