Exam 1: Equations, Inequalities, and Modeling

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Solve the inequality by reading the graph. -Solve the inequality by reading the graph. -  y = 2x + 1 y = 4x-3 y = 2x + 1 y = 4x-3

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Write an absolute value inequality that has the given solution set. -Write an absolute value inequality that has the given solution set. -

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Write the standard equation for the circle. -Write the standard equation for the circle. -

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Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. --25s - 45 + 5(5s + 10) = 0

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Solve the problem. -A rectangular garden has dimensions of 25 feet by 17 feet. A gravel path of consistent width is to be built around the garden. How wide can the path be if there is enough gravel for 400 square feet?

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Solve the problem. -Jay drove 308 kilometers at the average rate of 77 kilometers per hour. How long did the trip take?

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State the value of the discriminant and the number of real solutions. -State the value of the discriminant and the number of real solutions. -  + 4s + 8 = 0 + 4s + 8 = 0

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Write an equation in standard form using only integers for the line described. -The line with slope -7, going through (6, 0)

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Solve the equation. -4z + 12 = 3z + 4

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Solve the problem. -Jon has 1152 points in his math class. He must have 90% of the 1400 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the Term to receive credit for the class?

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Perform the indicated operations and write the answer in the form a + bi, where a and b are real numbers. -(7 + 8i)(4 + 7i)

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Evaluate the indicated power of i. -Evaluate the indicated power of i. -

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Use the method of your choice to find all real solutions of the equation. -Use the method of your choice to find all real solutions of the equation. -

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Write the expression in the form a + bi, where a and b are real numbers. -Write the expression in the form a + bi, where a and b are real numbers. -

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Identify the complex number as real or imaginary. --3 + 10i

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Solve the problem. -Max scored 69 and 67 on his first two tests in Biology 101. What must he score on the third test to get an average for the three tests above 77?

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Perform the indicated operations and write the answer in the form a + bi, where a and b are real numbers. -(7 - 6i) + (4 + 4i)

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Use a calculator to help solve the equation. Round approximate answers to three places. -Use a calculator to help solve the equation. Round approximate answers to three places. -

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Solve the problem. -Liz ran 30 mi, 34 mi, and 38 mi during three weeks. How many miles must she run the fourth week to give her an average of 30 miles per week?

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Write the standard equation for the circle. -Center (16, 18), passing through (16, 0)

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