Exam 2: Linear Equations and Inequalities

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Solve the equation. Solve the equation.     = __________ Solve the equation.     = __________ = __________

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Solve the equation. Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. Solve the equation. Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality.

(Multiple Choice)
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Solve the equation. Solve the equation.

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One angle in a triangle measures twice the smallest angle, whereas the largest angle is twelve times the smallest angle. Find the measures of all three angles.

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Jack is twice as old as Lacy. In two years the sum of their ages will be seventy three. How old are they now?

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Simplify both sides of the equation as much as possible, and then solve. Simplify both sides of the equation as much as possible, and then solve.     __________ Simplify both sides of the equation as much as possible, and then solve.     __________ __________

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The length of a rectangle is 3 times the width The length of a rectangle is 3 times the width   . If the perimeter is to be at least 48 meters, what are the possible values for the width? (If the perimeter is at least 48 meters, then it is greater than or equal to 48 meters.) . If the perimeter is to be at least 48 meters, what are the possible values for the width? (If the perimeter is at least 48 meters, then it is greater than or equal to 48 meters.)

(Multiple Choice)
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Simplify both sides of the equation as much as possible, and then solve. Simplify both sides of the equation as much as possible, and then solve.

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Solve the equation. Solve the equation.

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Nick and Carla Cole are driving separately from San Luis Obispo, California, to the north shore of Lake Tahoe, a distance of 450 miles. Nick leaves San Luis Obispo at 10:00 AM and averages 45 miles per hour on the drive, Carla leaves later, at 2:00 PM but averages 60 miles per hour. Which person arrives in Lake Tahoe first?

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Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. Then find the solution for the equation. Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. Then find the solution for the equation.     __________ Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. Then find the solution for the equation.     __________ __________

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Robert and Carla Cole are driving separately from San Luis Obispo, California, to the north shore of Lake Tahoe, a distance of 375 miles. Robert leaves San Luis Obispo at 10:00 AM and averages 55 miles per hour on the drive, Carla leaves later, at 2:00 PM but averages 60 miles per hour. Which person arrives in Lake Tahoe first?

(Multiple Choice)
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Solve the equation. Solve the equation.     = __________ Solve the equation.     = __________ = __________

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Solve the equation. Solve the equation.

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Solve for the indicated variable. Solve for the indicated variable.   for  for Solve for the indicated variable.   for

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Graph the compound inequality. Graph the compound inequality.   or  or Graph the compound inequality.   or

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Solve the equation. Solve the equation.

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Solve the equation. Solve the equation.     = __________ Solve the equation.     = __________ = __________

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For the graph below, write an inequality whose solution is the graph. For the graph below, write an inequality whose solution is the graph.

(Essay)
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Find the solution for the equation. Find the solution for the equation.

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