Exam 4: Systems of Linear Equations and Inequalities

Solve by graphing. Label the axes and show where the solution is located on the graph. -The cost, T, in hundreds of dollars, of tuition at one community college is given by T = 3 + 1.25c, where c is the number of credits for which a student registers. Graph the equation and use the graph to estimate the cost of tuition if a student registers for 10 credits.

Provide the proper response. -If two nonvertical lines never intersect, what do we know about their slopes?

The table shown was generated by a graphics calculator. The expression y₁ represents f(x). - All the points lie on a straight line. What is the slope of the line?

Solve the problem -(0, 6), m = (-1/5)

Answer the question or write an explanation. -What is the minimum number of quadrants totally or partially shaded in the graph of y > mx + b, when m > 0, b > 0? Which quadrants are they?

Decide whether the relation represents a function. If it does, give the domain and the range. -{(- 1, 6), (3, - 8), (3, 4)}

Provide the proper response. -What is wrong with the statement "The line has no slope."?

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

Graph the linear inequality -x + y < -2

Graph the equation by using the slope and y- intercept. -2x - 3y = 6

Answer the question. -In quadrant II, the y- coordinate of a point is always negative.

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

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

Evaluate the function. -Given f(x) = x² - 5x + 5, find f(3).

Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them -y = 2x + 6 (0, ), ( , 0), (2, )

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 = 2

Graph the linear equation. -y - 4 = x

Solve by graphing. Label the axes and show where the solution is located on the graph. -In one U.S. town the annual consumption, b, of beef (in kg per person) can be estimated by b = - .33t + 25, where t is the number of years since 1975. Graph the equation and use the graph to estimate the beef consumption in the year 1995.

Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them -y + 6 = x (0, ), ( , 0), (5, )