Exam 2: Linear Equations and Inequalities

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Simplify the expression. Simplify the expression.

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Graph the solution set for the compound inequality. Graph the solution set for the compound inequality.

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

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Solve for y . Solve for y .

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Evaluate the expression when x is -1 and y is 6. Evaluate the expression when x is -1 and y is 6.

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Solve the inequality. Graph the solution set. Solve the inequality. Graph the solution set.

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Solve for y . Solve for y .

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

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

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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.

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The length of a rectangle is 3 times the width x . If the perimeter is to be at least 72 meters, what are the possible values for the width? (If the perimeter is at least 72 meters, then it is greater than or equal to 72 meters.)

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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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Solve the equation by multiplying both sides by -1. Solve the equation by multiplying both sides by -1.     __________ Solve the equation by multiplying both sides by -1.     __________ __________

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Solve the equation. Solve the equation.

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Solve for y . Solve for y .

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

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

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