Review Midterm 1 You will have 2 hours to take the exam. You will not be allowed to use a calculator, notes, text, or your neighbor. You must show your work to receive credit. You should be able to… •
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Solve linear equations and inequalities in one variable. Translate a story into linear equation or inequality and solve. 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 maximum or minimum cost, revenue, or profit. 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. Find the maximum or minimum of an objective function given 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. Solve quadratic equation (square root property, factoring, completing the square, or the quadratic formula). Write a quadratic equation in vertex form. Identify the axis of symmetry, vertex, concavity, the x-­‐intercept(s), and y-­‐intercept of a parabola. Sketch the graph of a parabola. Write a polynomial in standard form. Identify the degree and leading coefficient of a polynomial. Identify the end behavior of a polynomial. Identify the zeros, x-­‐intercept(s), and y-­‐intercept of a polynomial. Sketch the graph of a polynomial. Sketch the graph of a piecewise function. Identify the domain, vertical asymptote(s), horizontal asymptote, x-­‐intercept(s), and y-­‐intercept of a rational function. Sketch the graph of a rational function. Identify the vertical or horizontal shift, stretch/shrink, or reflection of a function. Use transformations to sketch the graph of a function. Practice Problems… p. 85-­‐88 #1, 4, 5, 10, 13, 14, 15, 19, 22, 25, 26, 28, 29, 33, 38, 39, 49-­‐56, 57, 59, 60, 62, 63-­‐66 p. 141-­‐143 #2, 3, 6, 8, 10, 12, 14, 16, 17, 18, 20, 21, 22, 24, 27-­‐30 p. 213-­‐215 #1, 3, 7, 8, 9, 13, 14, 17, 18-­‐25, 28, 30, 32, 34, 35, 36, 39-­‐43