Exam 3: Linear Equations in Two Variables

Solve the problem. -The linear equation in two variables y = 3x + 80 models the total cost, y, in dollars, for towing a car x miles. The equation indicates that the towing company charges a fixed amount of $80 to send a truck to pick up the car Plus a cost of $3 for each mile the car is towed. Find a solution of y = 3x + 80 using 13 for x.

The graph shows the monthly revenue in millions of dollars of a growing company after the company doubled its advertising. Use the graph to solve the problem. -During what period of time is the company's monthly revenue increasing?

Determine whether the lines through each pair of points are parallel, perpendicular, or neither. -(-8, 8) and (-20, 4); (-6, -9) and (-8, -3)

Graph the equation. -x = 6

Solve the problem. -A projectile is fired from the top of a building 200 feet high. The graph shows the height of the projectile, in feet, above the ground, in terms of its distance, in feet, from the base of the building. Estimate the coordinates of the point A. Interpret the coordinates in terms of the information given.

Determine whether the lines through each pair of points are parallel, perpendicular, or neither. -(10, 4) and (16, -6); (8, 2) and (3, 5)

Indicate in which quadrant the point lies. - $\left( - \frac { 3 } { 8 } , - \frac { 1 } { 2 } \right)$

Give the ordered pairs that correspond to the points labeled in the figure. -

Graph the equation. -y = 8

Determine whether the lines through each pair of points are parallel. -(10, 2) and (14, 18); (-7, 10) and (-5, 18)

Find a solution to the equation using the value given for x. -y = 8x - 5; x = 5

Use the graph to identify the x- and y- intercepts or state that there is no x- or y-intercept. -

Write the sentence as a linear equation in two variables. Then graph the equation. -The y-variable is 7 less than the x-variable.

Determine whether the ordered pair is a solution of the given equation. -(3, 6) y = x - 9

Solve the problem. -A customer at a store bought 8 bottles of juice and 4 fruit pies for a total cost of $60.00. If a bottle of juice costs $3.25, find the cost of a fruit pie.

Determine whether the lines through each pair of points are perpendicular. -(-10, -5) and (-4, -19); (2, -7) and (5, -14)

Give the ordered pairs that correspond to the points labeled in the figure. -

Find the slope of the line, or state that the slope is undefined. -

Determine whether the lines through each pair of points are parallel, perpendicular, or neither. -(-7, 0) and (-1, 10); (-1, 8) and (2, 13)

Use the graph to identify the x- and y- intercepts or state that there is no x- or y-intercept. -