Review Midterm 1 You will have 50 minutes to take the exam, on February 15th. You will not be allowed to use a calculator (or other electronics), notes, textbook, or your neighbor. You must show your work to receive credit. Bring your student ID and a pencil. Scratch paper will be provided; scratch work will not be graded. You should be able to… •
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Solve linear equations and inequalities in one variable. Calculate the slope of a line given 2 points. Write the equation of a line, (given: 2 points, the slope and a point, a parallel line and a point, a perpendicular line and a point). Solve linear systems of equations (substitution, elimination, augmented matrix, inverse matrix). Identify whether a relation is a function. Identify the domain of a function. Use function notation to evaluate a function. Cost, Revenue, Profit problems o Write a linear cost function given fixed and variable costs. o Write a linear revenue function. o Write the profit function. o Identify the marginal cost of a linear cost function. o Identify the marginal revenue of a linear revenue function. o Identify the marginal profit of a linear profit function. o Find the break-­‐even point. Supply/Demand Problems o Write a linear supply equation. o Write a linear demand equation. o Find the market equilibrium. Solve a system of inequality by graphing. Translate a story into a linear equation, linear inequality, system of linear equations or system of linear inequalities and solve. Graph the feasible region and find the maximum or minimum of an objective function given a set of constraints. Identify the size of a matrix. Find the transpose of a matrix. Multiply a matrix by a scalar. Add/subtract matrices. Multiply matrices. Find the transpose of a matrix. Write a linear system as an augmented matrix or matrix equation. Write an augmented matrix as a linear system. Row Reduce a matrix. Find the inverse of a matrix. Use Gauss-­‐Jordan Elimination to solve a system of equations. Solve a system of equations using an inverse matrix. Practice Problems… Chapter 1 Review (p. 85-­‐66) Chapter 2 Review (p. 141-­‐143) #1-­‐24, 27-­‐30