Exam 2: Equations, Inequalities, and Problem Solving

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Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -The radiator in a certain make of car needs to contain 20 liters of 40% antifreeze. The radiator now contains 20 liters of 20% antifreeze. How many liters of this solution must be drained and replaced With 100% antifreeze to get the desired strength?

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Solve the equation. --4.7 + x = 24.9

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Solve. -The volume of a sphere with radius rr is given by the formula V=43πr3V = \frac { 4 } { 3 } \pi r ^ { 3 } . Find the volume of a sphere with radius 2 meters. Use 3.143.14 for the value of π\pi .

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Solve the equation. -1.3x + 3.9 = 0.5x - 2.66

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Solve. -Three-fourths a number decreased by one is between negative five and fifteen. Find all such numbers.

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Simplify the expression. First use the distributive property to remove any parentheses. - 5.8(8r+9)+3.1(5r+6)- 5.8 ( 8 r + 9 ) + 3.1 ( 5 r + 6 )

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Simplify the expression. First use the distributive property to remove any parentheses. -8(4n - 4)

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Simplify the expression by combining any like terms. -8a - 3a - a - 10

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Solve the inequality. Graph the solution set and write it in interval notation. - 7x+6>8x+9- 7 x + 6 > - 8 x + 9  Solve the inequality. Graph the solution set and write it in interval notation. - - 7 x + 6 > - 8 x + 9

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Solve the equation. -16 = 9x + 7

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Write the following as an equation, using x for the unknown number. Then solve. -Three-fourths of a number is 12\frac { 1 } { 2 } . Find the number in lowest terms.

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Solve. -A pharmacist is asked to give a customer 7.57.5 milliliters of an antibiotic over a period of 8 hours. If the antibiotic is to be given every 4 hours starting immediately, how much antibiotic should be given in each dose?

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