Interpret parts of an expression

Help Questions

HiSET › Interpret parts of an expression

Questions 1 - 10
1

Identify the terms in the following equation:

All of these

Explanation

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

2

Identify the coefficients in the following formula:

All of these

Explanation

Generally speaking, in an equation a coefficient is a constant by which a variable is multiplied. For example, and are coefficients in the following equation:

In our equation, the following numbers are coefficients:

3

What is the coefficient of the second highest term in the expression: ?

Explanation

Step 1: Rearrange the terms from highest power to lowest power.

We will get: .

Step 2: We count the second term from starting from the left since it is the second highest term in the rearranged expression.

Step 3: Isolate the term.

The second term is

Step 4: Find the coefficient. The coefficient of a term is considered as the number before any variables. In this case, the coefficient is .

So, the answer is .

4

Identify the coefficients in the following formula:

All of these

Explanation

Generally speaking, in an equation a coefficient is a constant by which a variable is multiplied. For example, and are coefficients in the following equation:

In our equation, the following numbers are coefficients:

5

What is the coefficient of the second highest term in the expression: ?

Explanation

Step 1: Rearrange the terms from highest power to lowest power.

We will get: .

Step 2: We count the second term from starting from the left since it is the second highest term in the rearranged expression.

Step 3: Isolate the term.

The second term is

Step 4: Find the coefficient. The coefficient of a term is considered as the number before any variables. In this case, the coefficient is .

So, the answer is .

6

Identify the terms in the following equation:

All of these

Explanation

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

7

How many terms are in the following expression: ?

None of the Above

Explanation

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.

8

How many terms are in the following expression: ?

None of the Above

Explanation

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.

9

Simplify the polynomial

.

How many terms does the simplified form have?

Four

Three

Five

Six

Two

Explanation

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.

10

Simplify the polynomial

.

How many terms does the simplified form have?

Four

Three

Five

Six

Two

Explanation

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.