# Common Core: High School - Algebra : Seeing Structure in Expressions

## Example Questions

### Example Question #1 : Seeing Structure In Expressions

What is the order of the expression?

Explanation:

To find the order of the expression, first define what the order of an expression represents.

In a general example,

represents the coefficient of the  term and  represents the degree or order of the expression.

When there are more than one term in an expression such as,

the order of that expression is the highest degree on a given term.

In mathematical terms,

therefore the order of the expression is four.

Looking at the specific expression in question the following is seen.

Therefore, the order of the expression is three.

### Example Question #1 : Seeing Structure In Expressions

What is the coefficient on the  term?

Explanation:

To find the coefficient on the  term, first define what the coefficient of an expression represents.

In a general example,

represents the coefficient of the  term and  represents the degree or order of the expression.

For the particular expression in this question,

the  term is .

Therefore the  value or coefficient is,

### Example Question #1 : High School: Algebra

Which of the following represent a term in the expression?

Explanation:

To find the terms of the expression, first define what a term represents.

In a general example,

represents the coefficient of the  term and  represents the degree or order of the expression. The term in this case is .

When there are more than one term in an expression such as,

each term is separated by an algebraic operation such as an addition or subtraction sign.

In the given expression,

there are three terms,

Looking at the possible answer choices,

matches a term in the expression.

represents the coefficient on the  term but does not represent a term itself.

is an expression with two terms.

is an integer.

is the addition operation sign that separates terms.

### Example Question #2 : High School: Algebra

Write the sentence as a mathematical expression.

"Two more than four times a number"

Explanation:

Expressions can be written in both English terms and mathematical terms. This particular question is giving the English version of an expression and is asking for the mathematical version.

To convert this expression into the mathematical version, identify key words that represent algebraic operations.

For example,

"A number" means a variable such as , and others.

"Difference, less than" means subtraction.

"Times, multiple of" means multiplication.

Break down the English sentence and identify the mathematical expression.

"Two more than four times a number"

"Two more" means:

"Four times a number" means:

Combine the terms into one expression,

### Example Question #3 : High School: Algebra

What are the factors of the following term.

Explanation:

Factors of a term are the parts that make up that term.

For example,

Breaking down the term in question is as follows.

The coefficient eight can be broken down into its factors,

and the variable term cannot be broken down any further.

Therefore, the factors of  are .

### Example Question #4 : High School: Algebra

What is the order of the expression?

Explanation:

To find the order of the expression, first define what the order of an expression represents.

In a general example,

represents the coefficient of the  term and  represents the degree or order of the expression.

When there are more than one term in an expression such as,

the order of that expression is the highest degree on a given term.

In mathematical terms,

therefore the order of the expression is four.

Looking at the specific expression in question the following is seen.

Therefore, the order of the expression is two.

### Example Question #7 : Seeing Structure In Expressions

What is the coefficient on the  term?

Explanation:

To find the coefficient on the  term, first define what the coefficient of an expression represents.

In a general example,

represents the coefficient of the  term and  represents the degree or order of the expression.

For the particular expression in this question,

the  term is .

Therefore the  value or coefficient is,

### Example Question #8 : Seeing Structure In Expressions

Which of the following represent a term in the expression?

Explanation:

To find the terms of the expression, first define what a term represents.

In a general example,

represents the coefficient of the  term and  represents the degree or order of the expression. The term in this case is .

When there are more than one term in an expression such as,

each term is separated by an algebraic operation such as an addition or subtraction sign.

In the given expression,

there are three terms,

Looking at the possible answer choices,

matches a term in the expression.

represents the coefficient on the  term but does not represent a term itself.

is an expression with two terms.

is an integer.

is the addition operation sign that separates terms

### Example Question #9 : Seeing Structure In Expressions

Write the sentence as a mathematical expression.

"Two less than three times a number"

Explanation:

Expressions can be written in both English terms and mathematical terms. This particular question is giving the English version of an expression and is asking for the mathematical version.

To convert this expression into the mathematical version, identify key words that represent algebraic operations.

For example,

"A number" means a variable such as , and others.

"Difference, less than" means subtraction.

"Times, multiple of" means multiplication.

Break down the English sentence and identify the mathematical expression.

"Two less than three times a number"

"Two less" means:

"Three times a number" means:

Combine the terms into one expression,

### Example Question #4 : Interpret Terms, Factors, And Coefficients Of An Expression: Ccss.Math.Content.Hsa Sse.A.1a

What are the factors of the following term.

Explanation:

Factors of a term are the parts that make up that term.

For example,

Breaking down the term in question is as follows.

The coefficient three cannot be broken down,

and the variable term can be broken down into its factors.

Therefore, the factors of  are .