ISEE Middle Level Math : How to subtract variables

Study concepts, example questions & explanations for ISEE Middle Level 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 #4 : 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 #5 : 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 : Algebra

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 #161 : Ssat Middle Level Quantitative (Math)

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 #11 : 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 #161 : Algebra

Simplify:

Possible Answers:

Correct answer:

Explanation:

Example Question #163 : Ssat Middle Level Quantitative (Math)

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, 

Example Question #164 : Ssat Middle Level Quantitative (Math)

Suppose you know the values of all variables in the expression 

and you want to evaluate the expression.

In which order will you carry out the operations?

Possible Answers:

Multiplying, subtracting, adding

Multiplying, adding, subtracting

Adding, subtracting, multiplying

Subtracting, multiplying, adding

Subtracting, adding, multiplying

Correct answer:

Multiplying, subtracting, adding

Explanation:

By the order of operations, in the absence of grouping symbols, multiplication takes precedence over addition and subtraction. Addition and subtraction are then carried out with equal priority, but from left to right, so the subtraction is performed second and the addition last.

Example Question #165 : Ssat Middle Level Quantitative (Math)

Which of the following phrases can be written as the algebraic expression  ?

Possible Answers:

Twice the sum of seven and a number

The square of the product of seven and a number

The square of the sum of seven and a number

Twice a number added to seven

The square of a number added to seven

Correct answer:

The square of a number added to seven

Explanation:

 is  added to seven;  is the square of a number.

 is subsequently "the square of a number added to seven".

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