Intermediate Algebra and Trigonometry Midterm Review 2014

Intermediate Algebra and Trigonometry Midterm Review 2014 YOU MUST BRING YOUR OWN CALCULATOR!

Tuesday January 28, 2014 Room 423(per2) Proctor – Mrs. Thompson 8:05am – 10:05am Room 423(per8) Proctor – Mrs. Thompson

FORMAT PART I – 75 multiple choice Part I = 75 points Part II – 5 short answer Part II = 25 points Total points = 100 CONTENT

Chapter 2

1. Graph a quadratic function in standard form or vertex form. 2. Identify special components of a graph: vertex, x-intercepts, y-intercept, axis of symmetry 3. Find the maximum or minimum value of a function. 4. Factor expressions. 5. Solve a quadratic equation by factoring. 6. Solve a quadratic equation by taking square roots. 7. Solve a quadratic equation by completing the square. 8. Complete the square to write a quadratic function in vertex form. 9. Perform operations with complex numbers. Find the absolute value of a complex number. 10. Solve quadratic equations whose solutions are complex numbers. 11. Solve quadratic equations using the quadratic formula. 12. Use the discriminant to tell whether a quadratic function has one solution, 2 solutions or no real solutions. 13. Solve real-life problems involving quadratic functions.

Chapter 3

1. Decide whether a function is a polynomial. 2. Write polynomials in standard form. State the degree and leading coefficient. Classify polynomials by name (ex. Quadratic, cubic…). 3. Factor expressions including special patterns (difference of squares, sum/difference of cubes) and factoring by grouping. 4. Add, subtract and multiply polynomials. 5. List all possible rational zeros for a polynomial function. 6. Describe the end behavior for a polynomial function. 7. Divide polynomials using long division and synthetic division. 8. Solve a polynomial equation. (Find all zeros, both real and complex.) 9. Write a polynomial function when you are given the zeros. 10. Graph a polynomial function. 11. Solve real-life problems involving polynomial functions. Chapter 5

1. Solve problems involving direct, inverse, joint and combined variation. 2. Multiply and divide rational expressions. (State excluded values.) 3. Add and subtract rational expressions. 4. Solve rational equations. 5. Graph rational functions. Identify special components of the graph: x-intercepts, y- intercept, vertical asymptote, horizontal asymptote, hole in the graph. 6. State the domain and range of a rational function. 7. Evaluate expressions involving rational exponents. 8. Graph the square root and cube root functions. State the domain and range. 9. Describe transformations of these functions with respect to the parent graphs. 10. Solve radical equations. 11. Graph and solve radical inequalities. 12. Solve real-life problems involving rational and radical functions.

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