Exam 2: Linear Equations and Inequalities

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Solve the equation. Solve the equation.

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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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In a right triangle, one of the acute angles is eight times as large as the other acute angle. Find the measure of the two acute angles.

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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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Diane is 26 years older than her daughter Amy. In 6 years Diane will be twice as old as Amy. How old are they now?

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

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Simplify the expression. Simplify the expression.

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

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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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Find the first four numbers of the sequence by substituting the counting numbers, in order, into the following expression. Find the first four numbers of the sequence by substituting the counting numbers, in order, into the following expression.   The first term is __________. The second term is __________. The third term is __________. The fourth term is __________. The first term is __________. The second term is __________. The third term is __________. The fourth term is __________.

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Match each graphical sketch with the appropriate inequality. Choose the correct letter for each question.
  C)  C)   C)
Correct Answer:
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Premises:
Responses:
  C)  C)   C)
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Simplify the expression. Simplify the expression.

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

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

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Solve the equation. Solve the equation.

(Multiple Choice)
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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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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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One number is five more than twice another. If their sum is decreased by ten, the result is ten. Find the numbers.

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Solve for the specified variable using the given facts. Solve d = r t for t , if d = 70 and r = 10. t = __________

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