Exam 1: The Basics

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Find the product. 8(6)8(-6)

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Find the next number in the sequence. 2, 2, 4, 6, 10, . . . (A Fibonacci-like sequence.)

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Find the fourth term in the sequence. Find the fourth term in the sequence.   Enter a fraction as your answer, as necessary. Enter a fraction as your answer, as necessary.

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Expand and multiply. 323^{2}

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Reduce the fraction to lowest terms by first factoring the numerator and denominator into the product of prime factors and then dividing out any factors they have in common. Reduce the fraction to lowest terms by first factoring the numerator and denominator into the product of prime factors and then dividing out any factors they have in common.

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Simplify the expression. (5)3(-5)^{3}

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Reduce the fraction to lowest terms. Reduce the fraction to lowest terms.

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Use the rule for multiplying two real numbers to find the following product. 3(-8)

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Divide and reduce the answer to lowest terms. 43÷54\frac{4}{3} \div \frac{5}{4}

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Given the numbers in the set Given the numbers in the set   List all the real numbers. List all the real numbers.

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Multiply the following. 1111111 \cdot \frac{1}{11}

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Reduce the fraction to lowest terms by first factoring the numerator and denominator into the product of prime factors and then dividing out any factors they have in common. Reduce the fraction to lowest terms by first factoring the numerator and denominator into the product of prime factors and then dividing out any factors they have in common.

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The sequence below is an arithmetic sequence. Find the next two numbers in the sequence. 6,0,6,6,0,-6, \ldots

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Factor the following number into the product of primes. List the prime factors from smallest to largest. If the number is not factorable, indicate this by writing prime . 41

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Perform the indicated operation. Perform the indicated operation.

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Factor Factor   into the product of prime factors by first factoring 15 and then raising each of its factors to the fifth power. into the product of prime factors by first factoring 15 and then raising each of its factors to the fifth power.

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State the property or properties that justify the following statement. 4(x9)=4x364(x-9)=4 x-36

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The balance in your checkbook is -$29. If you make a deposit of $65, and then write a check for $16, what is the new balance?

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Perform the indicated operations. Simplify as much as possible. 962603218(12)\frac{-9 \cdot 6^{2}-60 \cdot 3^{2}}{-18(12)} Do not convert fractions to decimal form.

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Use the rule for order of operations to simplify the expression as much as possible. 7+5(82)7+5(8-2)

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