Exam 10: Graphing Equations and Inequalities

Solve. Assume the exercise describes a linear relationship. When writing a linear equation, write the equation in slope-intercept form. -A gas station sells 4820 gallons of regular unleaded gasoline on a day when they charge $1.35 per gallon, whereas they sell 3850 gallons on a day that they charge $1.40 per gallon. Find a linear equation that relates Gallons sold to price.

Find an equation of the line passing through each pair of points. Write the equation in the form Ax + By = C. -Through (7, 9)and parallel to the x-axis.

Solve the problem. -The perimeter of the parallelogram below is 98 meters. Write a linear equation on two variables for the perimeter. Use this equation to find x when y is 10.

Determine whether the lines are parallel, perpendicular, or neither. -12x + 4y = 16 9x + 3y = 15

Find the slope of the line. -Passes through (-7, 4)and (7, 5)

Graph the equation. - $y = \frac { 5 } { 4 } x - 4$

Graph the linear equation. - $x = 2 \frac { 1 } { 2 }$

For each graph, determine which line has the greater slope. -

Evaluate the function. -Find h(-2)when)when h(x) $h ( x ) = x ^ { 2 } + 5 x + 6$

Use two points on the graph to find the slope of the line. -

Complete the ordered pairs for the given linear equation. Then plot the points and graph the equation by connecting the points. - y=-4x-3 (0,),(1,),(-1,)

Solve. -Suppose that y varies directly as the square of x. If x is doubled, what is the effect on y?

Use the vertical line test to determine whether or not the graph is a graph of a function. -

Find the slope of the line. --5x + 3y = 4

Use the equation to identify the slope and the y-intercept of the graph. -y - 4 = 1

Evaluate the function. -Find h(2)whenhen h( $h ( x ) = 7$

Solve. -A tent has the dimensions shown in feet. Find d so that the pitch of the left side of the tent roof iss $\frac { 5 } { 4 }$

Determine the coordinates of the indicated point on the graph. -C

Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C. -m = 5; (8, 7)

Use the equation to identify the slope and the y-intercept of the graph. --2x + 4y = 12