HSPT Math : Algebra

Study concepts, example questions & explanations for HSPT Math

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Example Questions

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

Simplify:

Possible Answers:

Correct answer:

Explanation:

You need to begin by distributing the minus sign through the whole group .  This gives you:

Simplifying the double negative, you get:

Now, you can move the like terms next to each other:

Finally, simplify:

Example Question #4 : How To Subtract Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

This problem is as simple as it appears.  All that you need to do is group together like terms:

The only like terms are the  terms.  Therefore, the simple answer is a matter of subtracting 3 from 4:

Example Question #5 : How To Subtract Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

First, start by distributing the subtraction through the terms in parentheses.  Note that you will be subtracting negative numbers:

Subtracting a negative is the same as adding a positive:

Now, group the like terms:

All you need to do now is combine like terms:

Example Question #701 : Concepts

Simplify:

Possible Answers:

Correct answer:

Explanation:

Begin by distributing the subtraction through the parentheses:

Next, group the like terms:

Now, combine them:

Example Question #91 : Algebra

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 #11 : How To Subtract Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

Begin by distributing the subtraction through the group:

Next, change the double negative to a positive:

 

Example Question #8 : 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 #9 : 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 #21 : How To Subtract Variables

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 #22 : How To Subtract Variables

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.

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