Exam 3: Section 1: Linear Equations and Inequalities in Two Variables

The budget deficit for the city of Gotham can be modeled by the equation D = 1.2n + 13.5 Where n is the number of years since 1990 and D is the deficit in millions of dollars. Which answer below correctly displays the graph of the equation?

Line l goes through (3, 2) and is parallel to the line through (4, 1) and (-3, 3). Find the slope of l.

Which figure below is the correct graph of the linear equation x = 3?

If s varies inversely as x and s = 4 when x = -4, then find s when x = 2.

Write a formula that expresses the relationship described below. Use k as a constant of variation. u varies directly as v

Gotham City's budget deficit was $6.2 million in 1993 and $2.4 million in 1998. Find the slope of the line through (1993, 6.2) and (1998, 2.4) and interpret your result.

Find the slope and the y-intercept of the line represented by 6x + 7y = -12.

Line l goes throught the point (5,-2) and is perpendicular to the line through (-2, 1) and (-4, -2). Find the equation (in slope-intercept form) for l.

Which figure below is the correct graph of the linear equation y = -2x - 1?

Find the slope of the line that contains the points (8,6) and (-5,1).

Complete the ordered pair so that it satisfies the given equation. y = 7x - 13: (4, ___)

Tim works at a bakery and can prepare a birthday cake in 4 hours. It takes him 5 hours to prepare a wedding cake. If Tim works a 40-hour week, which graph below correctly illustrates the number of each type of cake Tim can bake per week?

Which graph below correctly indicates the solution set of the linear inequality ?

The time to drive from Gotham City to Farmville varies inversely with the average speed. If the drive takes 6.2 hours at 42 mph, then how long will it take at 63 mph? Round to the nearest tenth of an hour.

Determine the slope of the line graphed below.

Find the equation (in standard form) of the line through (2, -5) and (4, -6).

The price of a 2-hour plumbing repair job is $130 and the price of a 5-hour job is $250. Write an equation for the cost C of a t-hour repair job and use the equation to find the cost of a repair job lasting 7 hours.

Find the x- and y-intercepts of 4x + 3y = -12 and use them to graph the equation.

Which of the following is the correct graph of the equation y = 3x - 1?

Write an equation in slope-intercept form for a line l that goes through (9, -1) and has a slope of .