Exam 4: Systems of Linear Equations and Inequalities

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State whether the graph is or is not that of a function. -State whether the graph is or is not that of a function. -

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Decide whether or not the ordered pair is a solution to the equation -- 7x - 19y = 130; (- 5, - 5)

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Graph the line through the given point with the given slope. -(0, 2), m = -1/4 Graph the line through the given point with the given slope. -(0, 2), m = -1/4

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Solve the problem -(0, 4), m = - 2 Solve the problem -(0, 4), m = - 2

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The table shown was generated by a graphics calculator. The expression y1 represents f(x). -The table shown was generated by a graphics calculator. The expression y<sub>1 </sub>represents f(x). -  If f(x) = 7, then x = ? If f(x) = 7, then x = ?

(Multiple Choice)
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Give the ordered pairs for the points labeled on the graph. -Give the ordered pairs for the points labeled on the graph. -

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Plot the ordered pairs on the rectangular coordinate system provided. -A(- 4, 0), B (0, 3) Plot the ordered pairs on the rectangular coordinate system provided. -A(- 4, 0), B (0, 3)

(Multiple Choice)
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Write the slope-intercept form of the equation for the line passing through the given pair of points. -(- 10, 8) and (- 10, - 9)

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Find the domain and range of the function. -y = x - 10

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Solve the problem. -The table lists the average annual cost (in dollars) of tuition and fees at a certain 2- year college for selected years, where year 1 represents 1992, year 3 represents 1994, and so on. The equation y = 26.33x + 1066 can be used to approximate the data. Predict the average annual cost in 2005 to the nearest dollar. Solve the problem. -The table lists the average annual cost (in dollars) of tuition and fees at a certain 2- year college for selected years, where year 1 represents 1992, year 3 represents 1994, and so on. The equation y = 26.33x + 1066 can be used to approximate the data. Predict the average annual cost in 2005 to the nearest dollar.

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Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. -3x - 2y = 6 2x + 3y = 6

(Multiple Choice)
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Decide whether or not the ordered pair is a solution to the equation -y = 3x; (- 1, - 3)

(True/False)
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Solve. -Complete these ordered pairs for the equation 4x - 3y = - 12; (0, Solve. -Complete these ordered pairs for the equation 4x - 3y = - 12; (0,   ), (   	, 0), (3,   	) ), ( Solve. -Complete these ordered pairs for the equation 4x - 3y = - 12; (0,   ), (   	, 0), (3,   	) , 0), (3, Solve. -Complete these ordered pairs for the equation 4x - 3y = - 12; (0,   ), (   	, 0), (3,   	) )

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Solve the problem. -Suppose that during a certain step in a chemical manufacturing process the amount of chlorine dissolved in a solution, measured in parts per million (ppm), is related to the elapsed time measured from the beginning of the step. Use the following table as a representation of this relationship. Make a scatter diagram of the data. What is happening to the amount of chlorine in solution during this time frame? Solve the problem. -Suppose that during a certain step in a chemical manufacturing process the amount of chlorine dissolved in a solution, measured in parts per million (ppm), is related to the elapsed time measured from the beginning of the step. Use the following table as a representation of this relationship. Make a scatter diagram of the data. What is happening to the amount of chlorine in solution during this time frame?

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Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. -6x + 2y = 8 12x + 4y = 19

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Plot the ordered pairs on the rectangular coordinate system provided. -A(3, 6), B(- 4, - 5) Plot the ordered pairs on the rectangular coordinate system provided. -A(3, 6), B(- 4, - 5)

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Complete the ordered pair for the given equation -y = - x - 8 (- 9, )

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Evaluate the function. -Given f(x) = 2x2 - 3x + 4, find f(- 1).

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Graph the linear equation. Give the x- and y- intercepts. -x + 8 = 0 Graph the linear equation. Give the x- and y- intercepts. -x + 8 = 0

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The table of values gives two points that lie on a line. Use the points to find the slope and y-intercept of the line. Then use these values to write an equation of the line in slope-intercept form. - The table of values gives two points that lie on a line. Use the points to find the slope and y-intercept of the line. Then use these values to write an equation of the line in slope-intercept form. -

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