Bryan G.

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Pre-Algebra

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Question:

Solve the following 3^4

Bryan G.

Answer:

In order to solve this equation we have to understand what 3 ^ 4 means . The ^ 4 means that you must multiply the number by 4 times itself. So 3 x 3 x 3 x 3 , a total of 4 times . Now we must solve 3 x 3 = 9 9 x 3 = 27 27 x 3 = 81 3^4 = 81 Correct !

Basic Math

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Question:

Add the following fractions : 1 / 2 + 3 / 6

Bryan G.

Answer:

In order to solve the following fraction We must first match the denominators , making them the same number . ( 1 / 2 ) = 1 is the Numerator / 2 is the Denominator (3 / 6 ) = 3 is the Numerator / 6 is the Denominator Now that we know both of our Denominators , we must make them equal the same number Now we must find the LCM ( Least Common Multiple ) We now list 5 multiples of each number as such 2 = 2 , 4 , 6 , 8 , 10 6 = 6 , 12 , 18 , 24 , 30 Now that we found the number 6 as the least common multiple We now must multiply the numerator and Denominator in order to make the denominator 6 1 / 2 = x / 6 Now we find what number times 2 equals to 4 ? Which is 3 so 1 / 2 * 3 / 3 = 3 / 6 1 / 2 is equivalent to 3 / 6 so now we have 3 / 6 + 3 / 6 Add Numerator :3 + 3 = 6 When the denominators equal the same number it remains the same : 6 The Answer is 6 / 6 = 1 6 divided by 6 equals 1 1 / 2 + 3 / 6 = 1 Correct !

Algebra

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Question:

Solve the equation: -5x + 20 = 25

Bryan G.

Answer:

In order to solve this equation we must find the value of x . We must first begin by isolating the ( -5x ) to one side as such : -5x = 25 - 20 To do so we must subtract 20 from both sides . Equation : -5x + 20 = 25 -5x + (20 -20) = (25 - 20) -5x + (0) = (5) -5x = 5 Now that we have -5x = 5 we must find the value of x We must now divide by ( -5 ) on both sides in order to find x while staying a positive integer (-5x / -5) = ( 5 / -5 ) (x) = ( -1 ) x = -1 When x equals -1 the above equation is true We must check our work: -5 ( -1 ) + 20 = 25 5 + 20 = 25 25 = 25 Correct !

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