Exam 5: Coordinate Geometry and Linear Systems

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { c } - 3 x + 4 y = 36 \\3 x - 4 y = - 35\end{array} \right)$

Which graph illustrates the inequality $y + 6 \leq \frac { 1 } { 8 } x$ ?

Solve the given equation for the variable indicated. 2 x $-$ 3 y = $-$ 4 for y

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 3 x - 5 y = - 4 \\4 x + y = 1\end{array} \right)$

Solve the system by using the substitution method. $\left( \begin{array} { c } 5 x - y = 71 \\x = \frac { 3 } { 2 } y - 4\end{array} \right)$ Please enter your answer as an ordered pair in the form ( x , y ).

Match the following inequalities with the corresponding graph. -

Use the graphing method to solve the system. $\left( \begin{array} { l } 3 x - 4 y = 27 \\4 x + 2 y = 14\end{array} \right)$ Enter your answer as an ordered pair in the form ( x , y ).

The income from a student production was $13,250. The price of a student ticket was $7, and nonstudent tickets were sold at $12 each. One thousand five hundred tickets were sold. How many nonstudent tickets were sold?

Write the equation of the line that satisfies the given condition: x intercept of 3 and y intercept of -12. Express the final equation in standard form.

Match the equations with their graphs. -

Find the slope of the line determined by this pair of points. ( m , 0), (0, n )

The concept of slope is not defined for the line $y = 3$ .

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 5 x + 6 y = - 1 \\8 x - 6 y = 92\end{array} \right)$

What graph illustrates the inequality 4 x + 3 y < 5?

For moving purposes, the Hendersons bought 25 cardboard boxes for $117.50. There were two kinds of boxes; the large ones cost $6.50 per box and the small ones were $4 per box. How many boxes of each kind did they buy?

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { l } y \leq - \frac { 1 } { 2 } x \\y > - 3 x\end{array} \right)$

A line is determined by the pair of points, $( 3,2 )$ and $( - 5,2 )$ . Is the slope of the line positive, negative, zero, or undefined?

Use the graphing method to solve the system. $\left( \begin{array} { l } y = 2 x \\3 x - 2 y = - 5\end{array} \right)$

Solve system by using the substitution method. $\left( \begin{array} { l } y = - 3 x - 4 \\2 x - 2 y = - 16\end{array} \right)$ Please enter your answer as an ordered pair in the form ( x , y ).

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l } 3 x - 4 y = 26 \\5 x + 3 y = - 5\end{array} \right)$