Exam 4: Systems of Linear Equations and Inequalities

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Provide an appropriate response. -What were the total sales for the first 6 months of 2007?

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Choose the line that most closely resembles the graph of the given equation. -y = 3x + 4

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Graph the linear inequality -y < -2 Graph the linear inequality -y < -2

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Evaluate the function. -Given f(x) = 5x 2 + 5x - 5, find f( - 6).

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Solve the problem. -Data regarding the amount spent by a government department is represented in the following graph. Find the slope of the line by using any two of the points shown on the line. Is the slope equal to the yearly change in amount spent? Solve the problem. -Data regarding the amount spent by a government department is represented in the following graph. Find the slope of the line by using any two of the points shown on the line. Is the slope equal to the yearly change in amount spent?     Year Solve the problem. -Data regarding the amount spent by a government department is represented in the following graph. Find the slope of the line by using any two of the points shown on the line. Is the slope equal to the yearly change in amount spent?     Year Year

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Graph the line through the given point with the given slope. -(- 2, - 3), m = 3 Graph the line through the given point with the given slope. -(- 2, - 3), m = 3

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Find the intercepts for the graph of the equation. -- 3x + y = 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. What does the ordered pair (9, 26.4) mean in the context of this situation? 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. What does the ordered pair (9, 26.4) mean in the context of this situation?

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Solve the problem. -The graph shows the sales of a particular brand of appliance from 1992 to 2010, where 1992 corresponds to x = 0. Two of the data points in the graph can be represented by the ordered pairs (0, 600) and (10, 2000). Use these ordered pairs to write an equation of a line that models the data. Give the equation in slope- intercept form. Solve the problem. -The graph shows the sales of a particular brand of appliance from 1992 to 2010, where 1992 corresponds to x = 0. Two of the data points in the graph can be represented by the ordered pairs (0, 600) and (10, 2000). Use these ordered pairs to write an equation of a line that models the data. Give the equation in slope- intercept form.

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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 = - 7x - 9

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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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Solve the problem. -This chart shows the number of meals served in a restaurant during each of the past 4 months. Assume that the information in the chart defines a function with the name g. State the range of g. Solve the problem. -This chart shows the number of meals served in a restaurant during each of the past 4 months. Assume that the information in the chart defines a function with the name g. State the range of g.

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Use the geometric interpretation of slope (rise divided by run) to find the slope of the line. Then, by identifying the y- intercept from the graph, write the slope- intercept form of the equation of the line. -Use the geometric interpretation of slope (rise divided by run) to find the slope of the line. Then, by identifying the y- intercept from the graph, write the slope- intercept form of the equation of the line. -

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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 = ?

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

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Find an equation in slope-intercept form of the line satisfying the specified conditions. -Through (6, 7), parallel to - 7x + 3y = - 39

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Solve the problem -(6, 6) , m = 2/3 Solve the problem -(6, 6) , m = 2/3

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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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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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