Exam 4: Systems of Linear Equations and Inequalities

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Write the slope-intercept form of the equation for the line passing through the given pair of points. -(6, - 6) and (0, 5)

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Write an equation for the line passing through the given pair of points. Give your final answer in standard form. -(- 6, - 5) and (- 15, 3)

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Graph the linear equation. -2x - y = -4 Graph the linear equation. -2x - y = -4

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Find the slope of the line going through the given pair of points. -(2, 2) and (5, 2)

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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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Solve the problem -(-2, -1), m = 2 Solve the problem -(-2, -1), m = 2

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Solve the problem. -A hardware store has room for 1000 bags of fertilizer. The fertilizer manufacturer plans to ship x bags of fertilizer with a weed killer and y bags of fertilizer without the weed killer. This can be represented by x + y c 1000. Graph this inequality in quadrant I. Solve the problem. -A hardware store has room for 1000 bags of fertilizer. The fertilizer manufacturer plans to ship x bags of fertilizer with a weed killer and y bags of fertilizer without the weed killer. This can be represented by x + y c 1000. Graph this inequality in quadrant I.

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Solve the problem. -Data regarding the amount spent by a government department is represented in the following graph. Find the change in amount spent for the years shown in the graph. Is the graph a straight line? Solve the problem. -Data regarding the amount spent by a government department is represented in the following graph. Find the change in amount spent for the years shown in the graph. Is the graph a straight line?     Year Solve the problem. -Data regarding the amount spent by a government department is represented in the following graph. Find the change in amount spent for the years shown in the graph. Is the graph a straight line?     Year Year

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Provide an appropriate response. -What were the total sales for the first 6 months of 2006?

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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. Write the ordered pairs representing these data and plot the points. 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. Write the ordered pairs representing these data and plot the points.

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Find an equation in slope-intercept form of the line satisfying the specified conditions. -Through (- 5, 0), parallel to - 3x + 2y = 13

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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.) -x = y2 + 7

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Evaluate the function. -Given f(x) = (x - 3)2, find f(8).

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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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Graph the linear equation. -4x - y = 0 Graph the linear equation. -4x - y = 0

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Graph the line through the given point with the given slope. -(3, -1), m = 0 Graph the line through the given point with the given slope. -(3, -1), m = 0

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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). -  Write the function in the form y = mx + b. Write the function in the form y = mx + b.

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The equation y = x2 is satisfied by the points (2, 4) and (- 2, 4). A horizontal line may be drawn between these two points. Is y = x2 a function? Why or why not?

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Graph the line through the given point with the given slope. -(- 4, - 3), m 1/2 Graph the line through the given point with the given slope. -(- 4, - 3), m 1/2

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Use the coordinates of the indicated points to find the slope of the line. -Use the coordinates of the indicated points to find the slope of the line. -

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