Asha K.

University of Virginia Student

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SAT

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Question:

Sample SAT Math question: Solve the equation: | 3x + 3 | = 15

Asha K.

Answer:

Since this is an absolute value equation, one would have to make two equations off of this one. One would be: 3x + 3 = 15, and after subtracting 3 from both sides, and then dividing by 3, the solution would be that x = 4 The other equation would be 3x + 3 = -15, and after subtracting 3 from both sides, and then dividing by 3, the solution would be that x = -6 Thus, the solution set is x = 4 and x = -6

Basic Math

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Question:

Brenda likes to make cookies. She made 30 cookies on Monday, 25 cookies on Tuesday, and 15 on Wednesday. She gave Lisa 10 cookies on Monday, and 5 on Tuesday. How many does Brenda have left over, from these three days?

Asha K.

Answer:

She has 55 cookies left. This was determined by first adding up the cookies she made, 30+25+15, which equals 70. Next, add up the cookies Lisa was given by Brenda, which is 10+5, which equals 15. Finally, you would subtract the totals, which is 70-15, equaling 55, the number of cookies Brenda has left.

Algebra

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Question:

Jamie had $20 with her when she went to the farmer's market. She spent $15.00 on apples and oranges, buying 9 pounds of fruits, in total. Each pound of apples costed $1.50 and each pound of oranges costed $2.00. How many pounds of apples did she buy and how many pounds of oranges did she buy?

Asha K.

Answer:

Jamie bought 6 pounds of apples and 3 pounds of oranges. This was determined by establishing a system of linear equations; one equation would be for the quantity of pounds of fruits bought equaling 9 and the second equation would be that the money spent for each pound of fruit, added up, would equal $15.00. Using multiplication to isolate one variable, the result is that the number of pounds of oranges is 3. Plugging in the value 3 into the first linear equation, the equation for quantities of fruits, would yield 6 pounds of apples. Finally, to check the answers, plug in both 3 and 6 into the money linear equation to add up to $15.00.

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