Exam 2: Linear Equations and Inequalities

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Find the solution for the equation. Find the solution for the equation.     __________ Find the solution for the equation.     __________ __________

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Solve for the specified variable using the given facts. Solve Solve for the specified variable using the given facts. Solve   for   if   .   = __________ for Solve for the specified variable using the given facts. Solve   for   if   .   = __________ if Solve for the specified variable using the given facts. Solve   for   if   .   = __________ . Solve for the specified variable using the given facts. Solve   for   if   .   = __________ = __________

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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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Evaluate the expression when Evaluate the expression when   is -8.  is -8. Evaluate the expression when   is -8.

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Solve the following inequality using the multiplication property of inequalities. If you multiply both sides by a negative number, be sure to reverse the direction of the inequality symbol. Graph the solution set. Solve the following inequality using the multiplication property of inequalities. If you multiply both sides by a negative number, be sure to reverse the direction of the inequality symbol. Graph the solution set.

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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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Five times the sum of a number and five is twenty. Find the number.

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Use the formula Use the formula   to find   if   is   . to find Use the formula   to find   if   is   . if Use the formula   to find   if   is   . is Use the formula   to find   if   is   . .

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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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When Kate exercises, she either swims or runs. She wants to spend a minimum of 15 hours a week exercising, and she wants to swim 4 times the amount she runs. What is the minimum amount of time she must spend doing each exercise?

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

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Miguel is selling tickets to a barbeque. The tickets are $4.50 for adults and $3.50 for children. He sells twice as many adult tickets as children's tickets and brings in a total of $62.50. How many of each kind of ticket did he sell? __________ adult tickets, __________ children tickets

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Find the solution for the equation. Find the solution for the equation.     __________ Find the solution for the equation.     __________ __________

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The figure below shows part of a room. From a point on the floor, the angle of elevation to the top of the door is The figure below shows part of a room. From a point on the floor, the angle of elevation to the top of the door is   whereas the angle of elevation to the ceiling above the door is   . Use this diagram to write an equation involving   and then solve the equation to find the number of degrees in the angle that extends from the top of the door to the ceiling.  whereas the angle of elevation to the ceiling above the door is The figure below shows part of a room. From a point on the floor, the angle of elevation to the top of the door is   whereas the angle of elevation to the ceiling above the door is   . Use this diagram to write an equation involving   and then solve the equation to find the number of degrees in the angle that extends from the top of the door to the ceiling.  . Use this diagram to write an equation involving The figure below shows part of a room. From a point on the floor, the angle of elevation to the top of the door is   whereas the angle of elevation to the ceiling above the door is   . Use this diagram to write an equation involving   and then solve the equation to find the number of degrees in the angle that extends from the top of the door to the ceiling.  and then solve the equation to find the number of degrees in the angle that extends from the top of the door to the ceiling. The figure below shows part of a room. From a point on the floor, the angle of elevation to the top of the door is   whereas the angle of elevation to the ceiling above the door is   . Use this diagram to write an equation involving   and then solve the equation to find the number of degrees in the angle that extends from the top of the door to the ceiling.

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Find the complement and supplement of Find the complement and supplement of   . .

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Tyler has two savings accounts that his grandparents opened for him. The two accounts pay 12% and 16% in annual interest; there is $550 more in the account that pays 16% than there is in the other account. If the total interest for a year is $284, how much money does he have in each account? $ __________ invested at 12% $ __________ invested at 16%

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Evaluate the expression when Evaluate the expression when   is -3 and y is 5.  is -3 and y is 5. Evaluate the expression when   is -3 and y is 5.

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Graph the compound inequality. Graph the compound inequality.

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Solve the equation. Solve the equation.

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