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Julia T.

Industrial Engineering and Operations Research Student at UC Berkeley

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SAT

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Question:

Given that \(\frac{3x-4} {2} = \frac{2(x+1)} {3} \)

Julia T.

Answer:

First, we multiply out the numerator of the right hand side, which simplifies the expression to \(\frac{3x-4} {2} = \frac{2x+2} {3} \) Then, we multiply both sides by the left side denominator, which is 2, which simplifies to 3x-4 = \frac{4x+4} {3} \) Next, we multiply both sides by the right side denominator, which is 3, which simplifies to 9x - 12 = 4x + 4 Next, we subtract 4x from both sides, which simplifies to 5x - 12 = 4 Next, we add 12 to both sides, which simplifies to 5x = 16 Finally, we divide both sides by 5 to get the final answer, which is x = 16/5

Pre-Algebra

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Question:

What is 2 + 4 * (3 - 1)?

Julia T.

Answer:

When evaluating an expression, it is important to remember the order of operations: parentheses, exponents, multiplication, division, addition, subtraction (PEMDAT). So for this problem, we first evaluate the parentheses to simply the expression to 2 + 4 * 2. Next, we use multiplication to simplify to 2 + 8, and finally add the numbers together to get the final answer, which is 10.

Basic Math

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Question:

What is 35 + 58?

Julia T.

Answer:

When doing double digit addition, it is easiest to first line the numbers up vertically, so that 58 is directly beneath 35. Next, starting from right to left, we add the columns. 5 + 8 is 13, and since this is a double digit number, we write 3 down (the "ones" digit of the number), and carry the 1 over to the next column (the "tens" digit of the number). For the next column, we add 3 + 5 plus the 1 from the previous column, which equals 9. Therefore, the answer to the problem is 93.

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