HSPT Math : Algebra

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #451 : Algebra

Solve:

Possible Answers:

Correct answer:

Explanation:

First, solve the exponential term:

Then add:

Answer: 

Example Question #452 : Algebra

Solve:

Possible Answers:

Correct answer:

Explanation:

First solve the exponents:

Then solve the equation:

Answer:

Example Question #453 : Algebra

Solve:

Possible Answers:

Correct answer:

Explanation:

First solve the exponents:

Then solve the equation:

Answer: 

 

Example Question #454 : Algebra

Solve:

Possible Answers:

Correct answer:

Explanation:

First solve the exponents:

Then solve the equation:

Answer: 

Example Question #455 : Algebra

Solve:

Possible Answers:

Correct answer:

Explanation:

First solve the exponents:

Then solve the equation:

Answer: 

Example Question #456 : Algebra

If , then what is the value of ?

Possible Answers:

Correct answer:

Explanation:

The first step to solving this equation is plug the value of b into the equation:

Once plugging in the value of 4 for b, we get:

This can be reduced as follows:

Thus, 19 is the correct answer. 

Example Question #265 : How To Find The Solution To An Equation

What is the value of the expression ?

Possible Answers:

Correct answer:

Explanation:

Below are the steps for solving the expression:

First, parentheses are solved for. 

Next, we take the square of 2, and can also solve for 25 divided by 5. 

The -4 and +4 cancel each other out, leaving

This reduces to 2, the correct answer. 

Example Question #266 : How To Find The Solution To An Equation

Solve for .

Possible Answers:

Correct answer:

Explanation:

To solve, we will need to isolate . Begin by cross-multiplying:

Divide both sides by 9.

The fraction cannot be reduced, making it our final answer.

 

Example Question #267 : How To Find The Solution To An Equation

Solve for :

Possible Answers:

None of these

Correct answer:

Explanation:

Start by evaluating the right side of the equation using order of operations.

Divdie both side by 3 to solve for the variable.

The fraction acnnot be simplified.

Example Question #457 : Algebra

Solve:

Possible Answers:

Correct answer:

Explanation:

First perform the cubing:

Then multiply:

Answer:

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