HSPT Math : Algebra

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #401 : Algebra

For what values of the following expression is undefined?

Assume is a real number.

Possible Answers:

The expression is defined for all real values of

Correct answer:

The expression is defined for all real values of

Explanation:

The expression would be undefined for the values of that yield a denominator of zero:

Solve for the value of :

 

No real numbers satistfy this equation, since will never be a negative number. Hence, the expression is defined for all real values of because the denominator can never be equal to zero.

Example Question #402 : Algebra

Solve for :

Possible Answers:

Correct answer:

Explanation:

First we should expand both sides of the equation; for the left side we can use the binominal square pattern and for the right side we can use distribution:

Now that both sides of the equation have been expanded, we can begin to simplify.

The answer is .

Example Question #403 : Algebra

Solve for n:

Possible Answers:

Correct answer:

Explanation:

Divide each side by 8:

Answer:

Example Question #404 : Algebra

Solve for p:

Possible Answers:

Correct answer:

Explanation:

Divide each side by 8:

Answer: 

Example Question #405 : Algebra

Solve for s:

Possible Answers:

Correct answer:

Explanation:

Divide each side by 13:

Answer: 

Example Question #406 : Algebra

Solve for m:

Possible Answers:

Correct answer:

Explanation:

Divide each side by 33:

Answer: 

Example Question #407 : Algebra

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve divide each side by :

Answer:

Example Question #408 : Algebra

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve divide each side by :

Answer: 

 

Example Question #409 : Algebra

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve divide each side by :

Answer: 

Example Question #410 : Algebra

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve, divide each side by :

Answer: 

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