Name ________________________ Period ______ Date ____________ Algebra II Unit 1 Model Curriculum Assessment 1. Which of the following is equivalent to i 49 ? a. b. c. d. i 1 i 1 2. What is the sum 2 3i 4 2i ? 3. What is the difference 5 8i 6 11i ? 4. What is the product 1 6i 5 8i ? 5. The function f is defined by f x x2 6x 21. What are the solutions of f x 0 ? Show your work. 6. Which of the following are the solutions for the equation 0 x2 x 1 ? a. x 1 i 3 1 i 3 and x 2 2 b. x 1 i 5 1 i 5 and x 2 2 c. x 1 i 5 1i 5 and x 2 2 d. x 1 i 3 1i 3 and x 2 2 7. What are the solutions to the equation x2 9 0 ? 8. SP x P 100 In the equation above, S represents the sale price of a coat after the original price P is discounted by x percent. Which of the following expressions represents the amount of the discount? a. x P 100 b. Px c. x 100 d. P x P 100 9. The expression 2,000 1.03 gives the number of dollars in an t investment account t years after the initial amount is invested. The account earns a simple annual interest. a. What does 2,000 represent in the context of the problem? b. What does 1.03 represent in the context of the problem? 10. A 40-ounce solution that is 45 percent acid has x ounces of pure acid added to it. The researcher uses the expression 0.45 40 x to 40 x answer some questions about the situation. a. What does the expression 40 x represent in the situation? b. What does 0.45 40 x represent in the situation? 5x as one rational expression that is x 3 equivalent to the expression for all x values, where x 3. 11. Rewrite the expression 2x 12. A box in the shape of a rectangular prism has a width that is 5 inches greater than the height and a length that is 2 inches greater than the width. Write a polynomial expression in standard form for the volume of the box. Explain the meaning of any variables used. 13. What is the difference 4x5 3x 3 2x 2 7 x 4 2x 3 4x 3 ? a. 5x 9 x 6 2x 3 10 b. 3x 5 5x 3 2 x 2 4 c. 4x 5 x 4 x 3 2x 4x 10 d. 4x 5 x 4 5x 3 2x 2 4x 4 14. Factor 2x 4 5x 3 6 x 2 15x completely over the set of integers. 15. For each polynomial expression in the table below, classify the expression as a difference of squares, difference of cubes, sum of cubes, or none of these by placing a check mark in all appropriate boxes. Then factor each polynomial completely in the space provided below the table. Expression a. x12 y 6 b. 8x 3 24y c. x 3 1 a. x12 y 6 b. 8x 3 24y c. x 3 1 Difference of Squares Difference of Cubes Sum of Cubes None of these 16. Given that the factored form of a polynomial function is f x x a x b x c x d , where a, b, c, and d are positive numbers, describe the graph of the function in the coordinate plane including intercepts and end behavior. 17. The graph of the fourth-degee polynomial function f x is shown in the coordinate plane below. Based on the graph, list all linear factors of f x . 18. A polynomial function has the following characteristics. The function has exactly 3 real zeros at 3, 1, and 3. The leading coefficient of the polynomial is positive. Sketch a function that meets the characteristics above.

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# Model Curriculum Assessments