ISEE Middle Level Math : Algebraic Concepts

Study concepts, example questions & explanations for ISEE Middle Level Math

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Example Questions

Example Question #4 : 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 #7 : How To Subtract Variables

Simplify:

Possible Answers:

Correct answer:

Explanation:

Begin by distributing the subtraction through the parentheses:

Next, group the like terms:

Now, combine them:

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 #6 : Expressions & Equations

Simplify:

Possible Answers:

Correct answer:

Explanation:

Begin by distributing the :

Multiply each factor:

Change the double negation to addition:

Combine like terms:

Example Question #7 : Expressions & Equations

Simplify:

Possible Answers:

Correct answer:

Explanation:

Begin by distributing the :

Multiply all factors:

Group together the only like factor ():

Combine like terms:

Example Question #151 : Ssat Middle Level Quantitative (Math)

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 #21 : How To Subtract 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 #8 : Expressions & Equations

Simplify:

Possible Answers:

Correct answer:

Explanation:

Example Question #92 : Variables

Subtract in modulo 11:

Possible Answers:

Correct answer:

Explanation:

 in normal arithmetic.

In modulo 11 arithmetic, a negative number has 11 added to it as many times as necessary until a positive sum is reached:

Therefore, 

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