Exam 4: Systems of Linear Equations and Inequalities

Solve the problem. -This chart shows the number of meals served in a restaurant during each of the past 4 months. Write the information in the chart as a set of ordered pairs. Month Number

Solve by graphing. Label the axes and show where the solution is located on the graph. -The value, v, in hundreds of dollars, of Juan's computer is approximated by v = - 0.50t + 10, where t is the number of years since he first bought the computer. Graph the equation and use the graph to estimate the value of the computer 2 years after it was purchased.

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

Decide whether the slope is positive, negative, zero, or undefined -

The table shown was generated by a graphics calculator. The expression y₁ represents f(x). - All the points lie on a straight line. Find the y-intercept of the line

Solve. -If f(x) = 3x + 9, find f(5).

Solve the problem -An electrician charges a fee of $50 plus $35 per hour. Let y be the cost in dollars of using the electrician for x hours. Find the slope- intercept form of the equation.

Write the slope-intercept form of the equation for the line passing through the given pair of points. -

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. -

Complete the ordered pair for the given equation -y = - 4x - 15 (- 3, )

Describe the graph of the function f(x) = x + 2 if the domain is the set of real numbers (- $\infty$ , $\infty$ ).

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. For which x does g(x) = 4062?

Provide the proper response. -If two nonvertical lines intersect, what do we know about their slopes?

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. Use the ordered pairs (3, 1158) and (9, 1314) to find the equation of a line that approximates the data. (If necessary, round the slope to the nearest hundredth and the y- intercept to the nearest whole number.)

Graph the linear equation. Give the x- and y- intercepts. -x - y = - 4

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

Give the ordered pairs for the points labeled on the graph. -

Solve. -Is (4, 2) a solution of 4x - 3y = 22?

Complete the table of values for the given equation -

Tell whether or not the relation is a function. -{(- 2, 8), (1, - 5), (5, 2), (8, - 7), (12, - 7)}