Esta B.

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Pre-Algebra

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Question:

What is the Greatest Common Factor (GCF) of 24 and 36?

Esta B.

Answer:

First, you have to find all the factors of each number: The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24 The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36 What factors do both numbers have?: 1, 2, 3, 4, 6, 12 12 is the greatest number that goes into both numbers evenly, and so is the GCF.

Basic Math

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Question:

If you have 23 children and 3 adult chaperones to go on a field trip, and each bus can hold 5 people, how many buses do you need?

Esta B.

Answer:

Well, you have 26 total people, including children and adults. Each bus holds 5 people. You can divide 26 by 5 and you get 5 with 1 left over. So, do you need 5 buses or 6 buses? Unless you want to be the one left standing in the parking lot, you need to get 6 buses. Of course, the people would be divided up so that 1 person does not ride alone. If you cannot remember how to divide 26 by 5, you can count by 5s: 5, 10, 15, 20, 25 and oops, 1 more. The solution would have to be the same.

Algebra

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Question:

Solve the equation: -3(-x + 5) + 20 = -10(x - 3) + 4

Esta B.

Answer:

1) First, use the distributive property to eliminate the first set of parentheses on the left side of the equation: -3(-x + 5) = 3x -15 2) Replace the solution into the original equation: It now looks like this: 3x - 15 + 20 = -10(x - 3) + 4 3) Now, use the distributive property to eliminate the second set of parentheses on the right side of the equation: -10(x - 3) = -10x + 30 4) Replace that solution into the original equation: It now looks like this: 3x - 15 + 20 = -10x + 30 + 4 5) Let's combine the like terms on both sides: the left side: -15 + 20 = 5: on the right side: 30 + 4 = 34 6) Again, let's replace those solutions into the original equation: 3x + 5 = -10x + 34 7) Okay, now it is time to get the x terms on one side; we can do that by adding 10x to both sides: so 13x + 5 = 34 8) If we subtract 5 from both sides we get: 13x = 29 9) To get the value of just one x, we need to divide both sides by 13: so x = 29/13 In person, it would be easier to show this process with arrows, etc. It is difficult to show the steps in a visual sequence.

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