SAT Math : Expressions

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #41 : How To Simplify An Expression

Joaquin is screening a movie marathon.  To attend, each guest (a) will be charged .  In addition, they must pay  for each movie (m) they watch.  If it costs Joaquin  to organize and put on the festival, which expression shows his net profits in dollars?

Possible Answers:

Correct answer:

Explanation:

Since Joaquin makes $5 from every admission, we need the term 5a in our solution, and this value should also be positive, since Joaquin makes money from each ticket sold.

Since each movie costs only $1 to see, 1m or simply m must also be in our equation.  Again, this value is positive since it is adding to Joaquin's ever-growing profits.

Finally, the $130 is a loss for him, so this value must be negative.

Only one equation listed fits those perameters:

 

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:

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