### All Common Core: High School - Algebra Resources

## Example Questions

### Example Question #11 : High School: Algebra

What is the order of the expression?

**Possible Answers:**

**Correct answer:**

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 five.

### Example Question #12 : High School: Algebra

What is the coefficient on the term?

**Possible Answers:**

**Correct answer:**

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 #11 : High School: Algebra

Rewrite the following expression.

**Possible Answers:**

**Correct answer:**

To rewrite the expression identify common factors that exist in both terms.

First identify the different terms.

Identify the factors of the terms.

Write a new, equivalent expression by factoring out a common term.

### Example Question #12 : High School: Algebra

Rewrite the following expression:

**Possible Answers:**

**Correct answer:**

To rewrite the expression, first identify and interpret the individual parts.

Identify the various terms in the expression.

Now, recall the general form for exponents.

From there, expand the second term as follows.

From here combine the first term with the expanded second term to result in the final solution.

### Example Question #3 : Interpret Complicated Expressions: Ccss.Math.Content.Hsa Sse.A.1b

Rewrite

**Possible Answers:**

**Correct answer:**

To rewrite the expression, first identify and interpret the individual parts.

Identify the various terms in the expression.

Now, recall the general form for exponents.

Then, expand the second term as follows.

From here, combine the first term with the expanded second term to result in the final solution.

### Example Question #4 : Interpret Complicated Expressions: Ccss.Math.Content.Hsa Sse.A.1b

Rewrite the following expression:

**Possible Answers:**

**Correct answer:**

To rewrite the expression, first identify and interpret the individual parts.

Identify the various terms in the expression.

Now, recall the general form for exponents.

Then, expand the second term as follows.

From here combine the first term with the expanded second term to result in the final solution.

### Example Question #3 : Interpret Complicated Expressions: Ccss.Math.Content.Hsa Sse.A.1b

Identify the equivalent expression.

**Possible Answers:**

**Correct answer:**

To identify the equivalent expression first identify the different terms in the given expression.

Since there are numerous quantities in term two that are the same, the term can be written in exponential form.

Now, recall the general form for exponents.

Term two can be written as,

From here combine the terms together to find an equivalent expression.

### Example Question #5 : Interpret Complicated Expressions: Ccss.Math.Content.Hsa Sse.A.1b

Identify the equivalent expression.

**Possible Answers:**

**Correct answer:**

To identify the equivalent expression first identify the different terms that are in the given expression.

Since there are numerous quantities in term two that are the same, the term can be written in exponential form.

Now, recall the general form for exponents.

Term two can be written as,

From here combine the terms together to find an equivalent expression.

### Example Question #4 : Interpret Complicated Expressions: Ccss.Math.Content.Hsa Sse.A.1b

Identify the equivalent expression.

**Possible Answers:**

**Correct answer:**

To identify the equivalent expression first identify the different terms that are in the given expression.

Since there are numerous quantities in term two that are the same, the term can be written in exponential form.

Now, recall the general form for exponents.

Term two can be written as,

From here combine the terms together to find an equivalent expression.

### Example Question #5 : Interpret Complicated Expressions: Ccss.Math.Content.Hsa Sse.A.1b

Identify the equivalent expression.

**Possible Answers:**

**Correct answer:**

To identify the equivalent expression first identify the different terms that are in the given expression.

Since there are numerous quantities in term one that are the same, the term can be written in exponential form.

Now, recall the general form for exponents.

Term one and an equivalent expression can be written as,

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