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

Name the set of inputs (domain) and the set of outputs (range). The capital of the state is a function of the name of the state.

Find the equation of the line that passes through the points (0, 0) and (-5, 4).

Find the slope of the line containing the given points. $P _ { 1 } ( 2,8 ) , \quad P _ { 2 } ( 3,11 )$

Given the function $f ( x ) = - x ^ { 3 } - 10 x - 17$ , find $f ( - 3 )$

Find the equation of the line that passes through the points (0, 3) and (-5, 6).

Find the equation of the line that passes through the points (1, -2) and (4, 7).

Find the slope and y-intercept of the line $- 2 x + 3 y = 9$

Find the equation of the line that contains the point (6, -26) and has slope -5.

If output values get smaller as input values get larger, then a straight line drawn from the table will :

Find the equation of the line that contains the point (-9, -6) and has slope $\frac { 4 } { 9 }$ .

Which ordered pair is a solution to the inequality? $x < 3$

Which ordered pair is a solution to the inequality? $2 x - 3 y > 4$

Four equations are shown. a. $y = - \frac { 1 } { 6 } x + 2$ b. $y = 6 x + 4$ c. $y = - 6 x + 2$ d. $6 x + y = 4$ Which lines are parallel?

Use the slope formula to find the slope. $( 4,4 )$ and $( \mathrm { k } , \mathrm { g } )$

Use the slope formula to find the slope. (Hint: To learn the formula, write the complete formula each time you use it.) $( 3 , - 1 ) \text { and } ( 2 , - 1 )$

Which ordered pair is a solution to the inequality? $\frac { 1 } { 3 } x + y \geq 1$

In the problem below, state whether the described change gives a parallel line or a steeper line and write the new equation. The total monthly cost, in dollars, of a loan is C = 0.01x + 3, where x is the number of dollars borrowed and 3 is the current service fee. The service fee rises by 9 dollars.

Find the slope and y-intercept of the line $3 x + 4 y = 12$

Find the equation of the line that contains the point (-27, 13) and has slope $- \frac { 4 } { 9 }$ .

Define variables and write the sentence in function notation. An hourly worker earns $16 per hour. The amount earned is a function of the number of hours worked.