Questions

1) When asked to solve this problem for “x”, Jordan stated that there was no value for “x” that would work. He concluded that division by zero is undefined. Was Jordan’s conclusion true or false?

True

False

2) Rational numbers are numbers that can be expressed as shown below. What statement is true about this general form of a rational number?

a.) The numerator (a) can be any integer except zero.

b.) The numerator (a) will always be smaller than the denominator (b).

c.) The denominator (b) can be any integer except zero.

d.) The denominator (b) will always be smaller than the numerator (a).

3) What fraction is represented by the blue (dark) sections in the given illustration? State the letter of the correct answer.

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4) On the average, 8 of the 30 days in June in Columbus, OH, are rainy. What fraction, in simplest form, represents the days in June that are NOT rainy? State the letter of the correct answer.

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5) When a number is “squared”, it is raised to what power?

a.) the power of zero

b.) the first power

c.) the second power

d.) the third power

6) Which expression is equivalent to 9 x 9? State the letter of the correct answer.

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7) When a number is “cubed”, it is raised to what power?

a.) the power of zero

b.) the first power

c.) the second power

d.) the third power

8) Which expression represents the volume of a cube with an edge measuring seven units? State the letter of the correct answer.

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9) Complete the factor tree, and then complete the following statement: A = ?, B = ?, and C = ?

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10) Which expression is equivalent to the prime factorization of 90? State the letter of the correct answer.

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11) What is the prime factorization of 56?

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12) What is the prime factorization of 100?

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13) What is the Greatest Common Factor (GCF) of 24 and 30?

a.) 2

b.) 4

c.) 6

d.) 12

14) What is the Greatest Common Factor (GCF) of 50 and 75?

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15) What is the Greatest Common Factor (GCF) of 28 and 70?

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16) What is the simplified form for the given fraction?

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17) Roberta is making gift bags for the homeless shelter. She has 36 bars of soap and 24 bottles of lotion to put into the gift bags. How many bags can Roberta make if she plans to use all of the bars of soap and all of the bottles of lotion with none left over? Please explain how to solve the problem.

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18) In the previous problem, how many bars of soap and how many bottles of lotion will Roberta put in each gift bag?

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19) What is the Least Common Multiple (LCM) of 4 and 10?

a.) 10

b.) 20

c.) 30

d.) 40

20) What is the Least Common Multiple (LCM) of 18 and 24?

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21) What is the Least Common Multiple (LCM) of 12 and 16?

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22) The favorite ice cream bar of a family of four is packaged as 6 ice cream bars per box. The mother of the family wants to buy enough boxes of ice cream bars so that she can share the ice cream bars equally with all the members of the family, and there will be no extra ice cream bars left over. (a) What is the least number of boxes of ice cream bars she can purchase to achieve her goal? (b) How many ice cream bars will each family member receive? (c) Please explain how to solve the problem.