All HiSET: Math Resources
Example Questions
Example Question #1 : Algebraic Concepts
Identify the terms in the following equation:
All of these
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 #2 : Algebraic Concepts
How many terms are in the following expression: ?
None of the Above
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 #2 : Algebraic Concepts
Simplify the polynomial
.
How many terms does the simplified form have?
Five
Four
Three
Two
Six
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.
Example Question #3 : Algebraic Concepts
Identify the coefficients in the following formula:
All of these
All of these
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:
Example Question #3 : Algebraic Concepts
What is the coefficient of the second highest term in the expression: ?
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 .