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Danielle N.

Private Math Tutor

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Pre-Algebra

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Question:

Use the order of operations to simplify this problem: -2(3-7)^2-5*2

Danielle N.

Answer:

1. Use PEMDAS 2. Start within the parentheses, 3-7= -4 3. (-4)^2= 16 4. 16*-2=-32 5. 5*2= 10 6. -32-10 = -42 is your answer.

Basic Math

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Question:

Simplify the problem: 1/2 + 2/3 + 3/2= ?

Danielle N.

Answer:

1. In order to add all the fractions together, you must find the Lowest Common Denominator. 2. The LCD for 2, and 3 is 6. (2*3=6) 3. You must have 6 on the bottom of all fractions so you multiply them by either 2 or 3. 4. Whatever you do to the denominator, you must do to the top. 5. (1/2)*(3/3)= 3/6 6. (2/3)*(2/2)= 4/6 7. (3/2)*(3/3)= 9/6 8. Add across the top and across the bottom and simplify. 9. The answer is 8/3.

Algebra

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Question:

Find the equation of a line that passes through the point (-1, 1/2), and has a slope perpendicular to m=3.

Danielle N.

Answer:

1. Use y=mx+b. 2. The perpendicular slope is the equivalent to the negative reciprocal of a number. Ex. m=3 would become m= -1/3 3. An x and y value is given, and the m has been found, so now it is time to plug it into the equation. 4. 1/2=(-1/3)(-1)+b [Solve for b] 5. b=1/6 6. y=(-1/3)x+ 1/6

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