Exam 12: Review of Basic Concepts and Skills

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Write the polynomial in standard form and name the lead coefficient. -8x2 + 3x3 + 1 + (-3x)

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Simplify the compound rational expression. Use either method. Simplify the compound rational expression. Use either method.

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Factor using u-substitution. 36 + x4 - 13x2

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Simplify the expression using the quotient to a power property. Simplify the expression using the quotient to a power property.

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Simplify the expression by rationalizing the denominator. State results in exact form. Simplify the expression by rationalizing the denominator. State results in exact form.

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Use the following to answer questions : Use the following to answer questions :   -List all the numbers in the set that are elements of R. -List all the numbers in the set that are elements of R.

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Factor the expression completely, if possible. Rewrite the expression in standard form and factor out "-1" if needed. If you believe the trinomial will not factor, answer "prime." x2 + 17x + 70

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Compute as indicated. Write final results in lowest terms. Compute as indicated. Write final results in lowest terms.

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Translate the phrase into an algebraic expression. seven less than twice a number

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Simplify the expression. Assume all variables represent non-negative real numbers. Simplify the expression. Assume all variables represent non-negative real numbers.

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Perform the operation indicated mentally or using pencil/paper. Perform the operation indicated mentally or using pencil/paper.

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Create the indicated algebraic expression. Use descriptive variables. The length of a rectangular lawn is 8 ft more than three times the width of the lawn. Express the length of the lawn in terms of the width.

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Factor the expression completely, if possible. Rewrite the expression in standard form and factor out "-1" if needed. If you believe the trinomial will not factor, answer "prime." x3 - 4x2 - 4x + 16

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The time it takes an object to fall a certain distance is given by the formula The time it takes an object to fall a certain distance is given by the formula   , where t is the time in seconds and s is the distance the object has fallen. Find how long it takes an object to hit the ground, if it is dropped from the top of a building that is 140 ft in height. Round answer to 2 decimal places. , where t is the time in seconds and s is the distance the object has fallen. Find how long it takes an object to hit the ground, if it is dropped from the top of a building that is 140 ft in height. Round answer to 2 decimal places.

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Compute as indicated. Write your answer in lowest terms. Compute as indicated. Write your answer in lowest terms.

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Simplify by combining like terms. -8z - z - 4z

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Simplify the expression. Simplify the expression.

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Use a descriptive variable and an inequality symbol (<, >, \ge , \le ) to write a model for the statement. The Smith family will spend at least $16,500 on home improvements.

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Reduce to lowest terms. Reduce to lowest terms.

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Rationalize the expression by building a perfect square root factor for the denominator. Rationalize the expression by building a perfect square root factor for the denominator.

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