Exam 1: Linear Equations and Graphs

Solve the inequality and graph. Express your answer in interval notation: --29 $\le$ -4x - 1 $\le$ -13

Write the equation of a line that passes through (-1, 4) and (5, -1). Write the final answer in the form where A, B, and C are integers with no common divisors (other than ±1) and

Write the equation of the line in the following graph.

Determine whether the slope of the line is positive, negative, zero, or undefined: -

Solve the inequality and graph. Express your answer in interval notation: --4( -2 - x) < 6x + 19 - 11 - 2x

Solve the formula for the specified variable: -S = 2 $\pi$ rh + 2 $\pi$ r² for h

Use the REGRESSION feature on a graphing calculator: -The paired data below consists of the temperature on randomly chosen days and the amount of a certain kind of plant grew (in millimeters). Find the linear function that predicts a plant's growth as a function of the temperature. Round your answer to two decimal places.

Solve the formula for the specified variable: -

Given two points ( , ) and ( , ), the ratio of the change in y to the change in x is called.

Find the slope and y intercept of the graph of the equation: -

Find the slope and y intercept of the graph of the equation: -

Find the slope of the line containing the given points: -( 5, -3); ( -8, 2)

A small company that makes hand-sewn leather shoes has fixed costs of $320 a day, and total costs of $1200 per day at an output of 20 pairs of shoes per day. Assume that total cost C is linearly related to output x. Find an equation of the line relating output to cost. Write the final answer in the form

Find the slope and y intercept of the graph of the equation: -y = 2x - 6

Use the REGRESSION feature on a graphing calculator: -A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below. Use linear regression to find a linear function that predicts a student's course grade as a function of the number of hours spent in lab.

Solve the problem. Express your answer as an integer or simplified fraction: --2( 2x + 5) - 4 = -2(x + 2) + 4x

Assume that the price per unit d of a certain item to the consumer is given by the equation where x is the number of units in demand. The price per unit from the supplier is given by the equation where x is the number of units supplied. Find the equilibrium price and the equilibrium quantity.

Solve the problem. Express your answer as an integer or simplified fraction: -

Graph the equation: -42 + 6y = 0