Algebra II : Expressions

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #12 : Solving Expressions

Evaluate the expression  when  and .

Possible Answers:

Correct answer:

Explanation:

First, substitute  for  and  for 

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

Leaving you with,

Example Question #13 : Solving Expressions

Evaluate the expression  when  and .

Possible Answers:

Correct answer:

Explanation:

First, substitute  for  and  for 

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

Leaving you with,

Example Question #14 : Solving Expressions

Evaluate the expression  when  and .

Possible Answers:

Correct answer:

Explanation:

First, substitute  for  and  for 

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

Leaving you with,

Example Question #15 : Solving Expressions

Evaluate the expression  when  and .

Possible Answers:

Correct answer:

Explanation:

First, substitute  for  and  for 

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

Leaving you with,

Example Question #131 : Expressions

Evaluate the expression  when , and .

Possible Answers:

Correct answer:

Explanation:

First, substitute  for  for , and  for 

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

Leaving you with,

Example Question #17 : Solving Expressions

Evaluate the expression  when , and .

Possible Answers:

Correct answer:

Explanation:

First, substitute  for  for , and  for 

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

Leaving you with,

Example Question #18 : Solving Expressions

Evaluate the expression  given  and .

Possible Answers:

Correct answer:

Explanation:

First, substitute  for  and  for 

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

Leaving you with,

 

Example Question #19 : Solving Expressions

Evaluate the expression  when  and .

Possible Answers:

Correct answer:

Explanation:

First, substitute  for  and  for 

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

Leaving you with,

Example Question #20 : Solving Expressions

Evaluate the expression  when  and .

Possible Answers:

Correct answer:

Explanation:

First, you subsitute  for  and  for 

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

Leaving you with,

 

Example Question #21 : Solving Expressions

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:

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