Exam 4: Systems of Linear Equations and Inequalities

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Provide the proper response. -Give a definition of the slope of a vertical line.

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Solve by graphing. Label the axes and show where the solution is located on the graph. -The graph depicts a relationship between scores achieved on an unspecified standardized test and family income. Suppose the score for a test is 490 when the family income is $25,000 and is 530 when the family income is $55,000. Let x be the income and y be the score of the test. Graph the two given pairs of incomes and scores. Assume that the relationship is linear. Draw a line though the two previous points. From your graph, estimates the score if the family income is $40,000. Solve by graphing. Label the axes and show where the solution is located on the graph. -The graph depicts a relationship between scores achieved on an unspecified standardized test and family income. Suppose the score for a test is 490 when the family income is $25,000 and is 530 when the family income is $55,000. Let x be the income and y be the score of the test. Graph the two given pairs of incomes and scores. Assume that the relationship is linear. Draw a line though the two previous points. From your graph, estimates the score if the family income is $40,000.

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Determine whether the relation is or is not a function. -Determine whether the relation is or is not a function. -

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Solve. -How do you find the x- intercept of the graph of a linear equation in two variables? How do you find the y- intercept?

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Decide whether the equation defines y as a function of x. (Remember that to be a function, every value of x must give one and only one value of y.) -y = 3 x

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Graph the linear equation. Give the x- and y- intercepts. -2x + y = 2 Graph the linear equation. Give the x- and y- intercepts. -2x + y = 2

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Answer the question -The graph of the equation 3x - 5y = 12 goes through (10, 4).

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Write an equation of the line through the given point with the given slope. Write the equation in slope - intercept form. -(3, 3); m = (-4/9)

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Solve the problem -(4, 0), m = (-1/2) Solve the problem -(4, 0), m = (-1/2)

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Determine whether the relation is or is not a function. -Determine whether the relation is or is not a function. -

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Identify the slope and y- intercept of the line with the given equation. -y = 5x + 2

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Solve the problem. -Suppose that the speed of a car, measured in miles per hour (mph), is monitored for some short period of time after the driver applies the brakes. The following table relates the speed of the car to the amount of time, measured in seconds (sec), elapsed from the moment that the brakes are applied. Make a scatter diagram of the data. What is happening to the speed of the car during this time frame? Solve the problem. -Suppose that the speed of a car, measured in miles per hour (mph), is monitored for some short period of time after the driver applies the brakes. The following table relates the speed of the car to the amount of time, measured in seconds (sec), elapsed from the moment that the brakes are applied. Make a scatter diagram of the data. What is happening to the speed of the car during this time frame?

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Complete the table of values for the given equation -Complete the table of values for the given equation -

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Decide whether or not the ordered pair is a solution to the equation -3x + 5y = 16; (2, 2)

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Complete the table of values for the given equation - Complete the table of values for the given equation -

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Complete the graph by shading the correct region. -y - x \ge 2  Complete the graph by shading the correct region. -y - x  \ge  2

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Find the intercepts for the graph of the equation. -- 3x + 3y = - 6

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Answer the question. -The ordered pair (- 4, - 3) determines a point in quadrant III with x- coordinate - 3 and y- coordinate - 4.

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Complete the table of values for the given equation - Complete the table of values for the given equation -

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Solve. -Use the vertical line test to determine whether the graph is that of a function. Solve. -Use the vertical line test to determine whether the graph is that of a function.

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