Algebra II : Solving Expressions

Study concepts, example questions & explanations for Algebra II

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Example Questions

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Example Question #181 : Basic Single Variable Algebra

If  and , what is ?

Possible Answers:

Correct answer:

Explanation:

To begin solving, first we would plug  in to  for every  there is, making it:

Solving, we get:

We would then put that solution into  for every  there is, making it:

Following the order of operations, the first thing we do is square :

We can then solve the rest of the expression:

Example Question #141 : Expressions

Solve the expression:  

Possible Answers:

Correct answer:

Explanation:

Evaluate the binomial squared first by order of operations.

The expression becomes:

Distribute the negative six through each term of the trinomial.

Combine like-terms.

The answer is:  

Example Question #142 : Expressions

Solve the expression if :  

Possible Answers:

Correct answer:

Explanation:

Substitute the value of  into the given expression.

Simplify the parentheses by order of operations. 

The answer is:  

Example Question #143 : Expressions

If  and , evaluate:  

Possible Answers:

Correct answer:

Explanation:

Substitute the assigned values into the expression.

Convert the fractions to a common denominator.

Now that the denominators are common, the numerators can be subtracted.

The answer is:  

Example Question #141 : Expressions

If  and , determine:  

Possible Answers:

Correct answer:

Explanation:

Substitute the values into the expression.

Simplify the expression by distribution.

The answer is:  

Example Question #142 : Expressions

If , what is the value of ?

Possible Answers:

Correct answer:

Explanation:

Substitute the values of  and .

Rationalize the denominator by multiplying the top and bottom with the denominator.  This will eliminate the radical in the denominator.

Cancel the integers.

The answer is:  

Example Question #141 : Expressions

Solve the expression:   if  and 

Possible Answers:

Correct answer:

Explanation:

In order to solve this expression, we will need to substitute the assigned values into  and .

Simplify the terms by order of operation.

The answer is:  

Example Question #21 : Solving Expressions

If  and , what is ?

Possible Answers:

Correct answer:

Explanation:

Substitute the values into the expression.

Simplify the terms by order of operations.

The answer is:  

Example Question #143 : Expressions

If  and , what is the value of ?

Possible Answers:

Correct answer:

Explanation:

Substitute the values into the expression.

In order to evaluate this expression, we will need to rewrite the negative exponents into fractions.

Simplify the fractions.

Reduce this fraction.  

The answer is:  

Example Question #143 : Expressions

If  and , what is the value of ?

Possible Answers:

Correct answer:

Explanation:

Substitute the values in the expression.

Rationalize the denominator by multiplying square root of three on the top and bottom of the fraction.

Simplify the top and bottom.

The answer is:  

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