HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #11 : How To Subtract Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

Begin by putting similar variables together.  Remember that combinations of variables such as are treated like a separate variable:

Combine like terms:

You can then rearrange the variables to get the answer as written:

Example Question #1301 : Hspt Mathematics

Simplify:

Possible Answers:

Correct answer:

Explanation:

Begin by distributing the subtraction through the group:

Next, change the double negative to a positive:

 

Example Question #2 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1

Simplify:

Possible Answers:

Correct answer:

Explanation:

Begin by distributing the :

Multiply each factor:

Change the double negation to addition:

Combine like terms:

Example Question #3 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1

Simplify:

Possible Answers:

Correct answer:

Explanation:

Begin by distributing the :

Multiply all factors:

Group together the only like factor ():

Combine like terms:

Example Question #1302 : Hspt Mathematics

Simplify:

Possible Answers:

Correct answer:

Explanation:

Begin by moving all like terms next to each other.  Remember that you must treat every variable type separately:


Combine like terms:

You merely need to reorder the variables to get to the form in the answer choice.

Example Question #92 : Algebra

Simplify:

Possible Answers:

Correct answer:

Explanation:

Begin by distributing the  through the group:

Next, perform the multiplications:

Group the like terms:

Combine like terms:

Rearrange the terms to get the answer as it appears in the answer choices.

Example Question #91 : Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

Begin by multiplying through by :

Perform the multiplications:

The double negation becomes addition:

Group like terms:

Combine like terms:

Example Question #1 : Expressions & Equations

Simplify:

Possible Answers:

Correct answer:

Explanation:

Example Question #60 : How To Multiply Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

Begin by moving all of the related variables (and constants) next to each other. You can group these in parentheses to make it clear. This is allowed because of the associative rule for multiplication.

When multiplying variables of the same type, you add their exponents together. This gets you:

This is the same as:

Example Question #174 : Ssat Middle Level Quantitative (Math)

Possible Answers:

Correct answer:

Explanation:

Subtract the numbers and keep the variable:

Answer:

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