Exam 5: Formulas, Functions, Linear Equations, and Inequalities in Two Variables

Find the slope and the vertical-axis intercept for the equation. Assume that the output variable is on the left. $D = 385 + 55 t$

Use the slope formula to find the slope. $( \mathrm { k } , \mathrm { g } )$ and $( k , c )$

Arrange slopes from flattest to steepest. $- \frac { 2 } { 9 } , 0 , - \frac { 9 } { 2 }$

Find the slope and y-intercept for given equation. $y = - \frac { 1 } { 1 } x$

Find the equation of the line that passes through the points (0, 1) and (4, -11).

To meet expenses, a local theater group has a ticket sales goal of $2800. Regular tickets sell for $16 and student/senior tickets sell for $14. Let x = number of regular tickets sold and y = number of student/senior tickets sold. Write an inequality describing possible combinations of ticket sales that would meet, or surpass, the goal.

Find the equation of the line that contains the point (-1, 3) and has slope -2.

Which set of ordered pairs is a function? For each function, name the set of inputs (domain) and the set of outputs (range). a. (9, 99), (9, 999), (9, 9999) b. (-4, 8), (-5, 8), (-6, 8)

Which ordered pair is a solution to the inequality? $x - y < 9$

Name the set of inputs (domain) and the set of outputs (range). The cost of a long distance telephone call is a function of how long the parties talk.

Find $g ( - 3 )$ and $g ( 4 )$ . $g ( x ) = x ^ { 2 } + 1$

Find the x- and y-intercepts of the line $y = 2 x + 6$

Write the equation for the problem below using $y = m x + b$ Yolanda's $400 monthly expense account is set up through an automatic teller machine (ATM). She withdraws funds, using the $35 Fast Cash Option. The equation describes the amount that remains in her account after she makes x withdrawals during the month.

Use the slope formula to find the slope. (Hint: To learn the formula, write the complete formula each you use it.) $( - 7 , - 4 ) \text { and } ( - 7,2 )$

Use the slope formula to find slope. $( 6,0 ) \text { and } ( 9,5 )$

The output is the total cost of a taxi ride of x miles. The taxi driver charges a $5 fee plus $2 for each mile traveled. Write an equation describing the output (y) as a function of the input (x).

Is the set of ordered pairs a function? For each function, name the set of inputs (domain) and the set of outputs (range). (Dou, Ron), (Dou, Ian), (Dou, Vernon)

Write an equation for the given data. $\text { slope } = \frac { 7 } { 6 } , y \text {-intercept } = 3$

Which ordered pair is a solution to the inequality? $y \leq - 3$

Which ordered pair is a solution to the inequality? $2 x + y \leq 1$