SAT Math : Simplifying Expressions

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #811 : Algebra

 A small business can produce w widgets, worth d dollars each, in m minutes.  How long would it take to produce  worth of widgets?

Possible Answers:

Correct answer:

Explanation:

Dimensional anaysis can be used to find the answer to this one.  Begin with what is given:

$500

Then use our conversion factor given, d dollars = 1 widget.  

We then add our other two conversion factors; w widgets = 1 production cycle and; m minutes = 1 prodction cycle.  We position the factors so that all units cancel except minutes (our desired solution).

Example Question #121 : Expressions

Simplify the expression:

Possible Answers:

Correct answer:

Explanation:

In order to simplify an expression, we rearrange it to put terms with the same base or type of variable together, then add or subtract accordingly. For this problem that would look like this:

Example Question #53 : How To Simplify An Expression

Simplify the expression:

Possible Answers:

Correct answer:

Explanation:

In order to simplify an expression, we rearrange it to put terms with the same base or type of variable together, then add or subtract accordingly. However, because this problem has a minus sign, it first needs to be distributed. That would look as follows:

Example Question #122 : Expressions

Simplify the expression:

Possible Answers:

Correct answer:

Explanation:

In order to simplify an expression, we rearrange it to put terms with the same base or type of variable together, then add or subtract accordingly. That would look as follows:

Example Question #123 : Expressions

Simplify the expression:

Possible Answers:

Correct answer:

Explanation:

In order to simplify an expression, we rearrange it to put terms with the same base or type of variable together, then add or subtract accordingly. That would look as follows:

Example Question #56 : How To Simplify An Expression

Simplify the expression:

Possible Answers:

Correct answer:

Explanation:

In order to simplify an expression, we rearrange it to put terms with the same base or type of variable together, then add or subtract accordingly. However, because this problem has a minus sign, it first needs to be distributed. That would look as follows:

Example Question #57 : How To Simplify An Expression

Simplify the expression:

Possible Answers:

Correct answer:

Explanation:

In order to simplify an expression, we rearrange it to put terms with the same base or type of variable together, then add or subtract accordingly. However, because this problem has a minus sign, it first needs to be distributed. That would look as follows:

Example Question #58 : How To Simplify An Expression

Simplify the expression:

Possible Answers:

Correct answer:

Explanation:

In order to simplify an expression, we rearrange it to put terms with the same base or type of variable together, then add or subtract accordingly. However, because this problem has a minus sign, it first needs to be distributed. That would look as follows:

Example Question #121 : Expressions

Simplify the expression:

Possible Answers:

Correct answer:

Explanation:

In order to simplify an expression, we rearrange it to put terms with the same base or type of variable together, then add or subtract accordingly. However, because this problem has a minus sign, it first needs to be distributed. That would look as follows:

Example Question #60 : How To Simplify An Expression

Simplify the expression:

Possible Answers:

Correct answer:

Explanation:

In order to simplify an expression, we rearrange it to put terms with the same base or type of variable together, then add or subtract accordingly. That would look as follows:

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