Exam 1: A Review of Basic Algebra

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List the numbers in the set that are natural numbers. List the numbers in the set that are natural numbers.

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Solve the equation. 3( r - 3) + 4( r - 2) = -2( r - 6) + 10( r + 2)

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Which property of addition guarantees that the quantities below are equal? Which property of addition guarantees that the quantities below are equal?

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Granville and Preston are 558 miles apart. A car leaves Preston bound for Granville at 49 mph. At the same time, another car leaves Granville bound for Preston at 44 mph. How long will it take them to meet?

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Simplify the numerical expression. Simplify the numerical expression.

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Use scientific notation and the rules for exponents to simplify the following expression. Express your answer in standard notation. Use scientific notation and the rules for exponents to simplify the following expression. Express your answer in standard notation.

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Write the number Write the number   in standard notation. in standard notation.

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Use a property of equality to solve the equation. Use a property of equality to solve the equation.

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Light travels about Light travels about   meters per year. A light year is the distance that light can travel in one year. How many meters are in three seconds? meters per year. A light year is the distance that light can travel in one year. How many meters are in three seconds?

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A worker cuts a 57 feet beam into two pieces. He wants one piece to be 3 feet shorter than three times the length of the other piece. Find the length of shorter piece.

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The distance between two planets is approximately The distance between two planets is approximately   miles. Use scientific notation to express this distance in feet. (5,280 feet = 1 mile.) miles. Use scientific notation to express this distance in feet. (5,280 feet = 1 mile.)

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Write the statement with the inequality symbol pointing in the opposite direction. Write the statement with the inequality symbol pointing in the opposite direction.

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Subtract. Subtract.

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An amount P , invested at a simple interest rate r , will grow to an amount A in t years, according to the formula A = P ( 1 + r t ). Suppose a man invested some money at 5.6%. If after 3 years, he had $6,424.00 on deposit, what amount did he originally invest? Round your answer to the nearest integer.

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A 70-foot roll of fabric is cut into three pieces, with each successive piece twice as long as the previous one. Find the length of the longest piece.

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Simplify the following expression by combining like terms. Simplify the following expression by combining like terms.

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Solve the formula Solve the formula   for the variable   . for the variable Solve the formula   for the variable   . .

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The set of __________ numbers is {1, 2, 3, 4, ... }.

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Divide. Divide.

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Solve the inequality. Solve the inequality.

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