2024-25 Algebra 2 Semester 1 Final PDF
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2024
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This is an Algebra 2 Semester 1 Final exam, containing questions related to quadratic equations, graphing, and parabola equations. Practice questions and problems are included.
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Algebra 2 Semester 1 Final You may use a calculator and note sheet. Do not write in the exam booklet. 1. Identify the graph of the function 3. Which graph shows the solutions to the equation 2 2 𝑓(...
Algebra 2 Semester 1 Final You may use a calculator and note sheet. Do not write in the exam booklet. 1. Identify the graph of the function 3. Which graph shows the solutions to the equation 2 2 𝑓(𝑥) = 0. 5(𝑥 + 3) + 2. (𝑥 − 2) − 4 =− 2𝑥 + 3 ? A. B. A. B. C. D. C. D. 2. Write a quadratic equation in standard form 7 that has the solutions 𝑥 = 2 and 𝑥 =− 3. A. 7𝑥 + 19𝑥 − 6 = 0 2 4. Write an equation for the parabola in vertex form. B. 2𝑥 − 𝑥 − 21 = 0 2 C. 2𝑥 + 𝑥 − 21 = 0 2 2 A. 𝑦 = 2(𝑥 + 3) + 1 D. 2𝑥 + 13𝑥 + 21 = 0 2 2 B. 𝑦 = 3(𝑥 − 3) + 1 2 C. 𝑦 = 2(𝑥 − 3) + 1 2 D. 𝑦 = 3(𝑥 + 1) + 3 2 5. Solve the equation. 6𝑥 + 23𝑥 = 18 3 8 A. 𝑥 = 2 , 𝑥 =− 3 3 8 B. 𝑥 =− 2 , 𝑥 = 3 2 9 C. 𝑥 =− 3 , 𝑥 = 2 2 9 D. 𝑥 = 3 , 𝑥 =− 2 2 6. Solve the equation. (𝑥 − 5) + 36 = 16 A. A. B. B. C. C. D. D. 10.Which graph is the function 7. Factor, then find all roots. Record all correct ? answers. A. B. A. B. C. D. 8. Factor, then find all roots. Record all correct answers. A. C. D. B. C. D. 9. Write the equation for the graph. 15.What is the factored form of 11.Solve. A. B. A. B. C. D. C. 12.Consider Identify its vertex and y-intercept. D. A. 16.Simplify B. A. C. B. C. D. 13.Identify the function that has a vertex of D. and a y-intercept of 17.Identify the graph of the parabola A. A. B. B. C. D. 14.Find all the zeros of A. C. D. B. C. D. 21.Which of the following is NOT a factor of 18.Which polynomial is equal to A. A. B. B. C. D. All of these are C. factors! D. 22.Which of the following IS a factor of 19.Determine the remaining 2nd degree polynomial A. B. expression when dividing C. D. A. 23.What is the a value of the quadratic function B. that has zeros of 9 and -8 and C. contains the point D. A. B. E. None of the above C. D. 20.Given as and 24.Which of the following statements are true? as , which of the I. has at most 3 following could be zeros. II. has at most 2 zeros. A. III. has at most 5 zeros. B. A. I only B. I and II C. C. I and III D. D. I, II, and III For problems 25 and 26, use the three equivalent equations shown below. 28.The graph represents and the table shows some values of another quadratic function 25.Select the form that reveals the values where without changing the form of the equation. A. B. Which statement is true? C. D. None of these A. The minimum of 26.Select the values of x for which. is greater than the minimum of A. B. The minimum of is greater than the B. minimum of. C. C. The minimums of each graph are the same. D. D. None of the above. 27.Write the polynomial function in factored form of least degree that has rational coefficients, a 29.A student throws a ball in the air. The height, in leading coefficient of 1, and the zeros feet, of the ball t seconds after being thrown is. modeled by the expression A. What is the maximum height obtained by the B. ball? A. 5 feet C. B. 48 feet D. C. 24 feet D. 41 feet
