Intermediate Algebra and Trigonometry
Midterm Review 2014
YOU MUST BRING YOUR OWN CALCULATOR!
Tuesday January 28, 2014
8:05am – 10:05am
PART I – 75 multiple choice
Part II – 5 short answer
Room 423(per2) Proctor – Mrs. Thompson
Room 423(per8) Proctor – Mrs. Thompson
FORMAT
Part I = 75 points
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.
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3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
Solve problems involving direct, inverse, joint and combined variation.
Multiply and divide rational expressions. (State excluded values.)
Add and subtract rational expressions.
Solve rational equations.
Graph rational functions. Identify special components of the graph: x-intercepts, yintercept, vertical asymptote, horizontal asymptote, hole in the graph.
State the domain and range of a rational function.
Evaluate expressions involving rational exponents.
Graph the square root and cube root functions. State the domain and range.
Describe transformations of these functions with respect to the parent graphs.
Solve radical equations.
Graph and solve radical inequalities.
Solve real-life problems involving rational and radical functions.
THINGS TO PRACTICE…
Chapter tests and reviews from your text book app
Ready to Go On Quizzes from your book app
Review materials posted to my website