HSPT Math : Algebra

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #198 : How To Find The Solution To An Equation

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve, divide each side by :

Answer: 

Example Question #199 : How To Find The Solution To An Equation

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve, divide each side by :

Answer: 

Example Question #391 : Algebra

Solve for :

 

Possible Answers:

Correct answer:

Explanation:

To solve, divide each side by :

Answer: 

Example Question #392 : Algebra

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve divide each side by 45:

Answer: 

Example Question #393 : Algebra

Solve:

Possible Answers:

Correct answer:

Explanation:

To solve divide each side by 5:

Answer:

Example Question #394 : Algebra

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve divide each side by 50:

Answer: 

Example Question #395 : Algebra

Solve for y:

Possible Answers:

Correct answer:

Explanation:

To solve divide each side by 30:

Answer: 

Example Question #396 : Algebra

Find the value of  in the equation above.

Possible Answers:

Correct answer:

Explanation:

To solve this equation, you must isolate x. The first step is to add 9 to both sides so that the equation is now Then, divide both sides by 4 to get 6.

Example Question #397 : Algebra

For what values of is the following expression 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 .

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 #398 : 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:

Explanation:

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

Solve the equation to find the value of :

 

That means the denominator would be equal to zero if or .

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