Instructor: Virginia Davis Course: Foundations for College Math (1)
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1 3//016 Section Classwork for a grade-virginia Davis Student: Date: Instructor: Virginia Davis Course: Foundations for College Math (1) Assignment: Section Classwork for a grade 1. Select the answer that best completes the given statement. By the square root property, if b is a real number, and a = b, then a = (1) (1) ± b. b. b. b.. Select the answer that best completes the given statement. The process of writing a quadratic equation so that one side is a perfect square trinomial is called (1) (1) factoring. squaring. completing the square. 3. Use the square root property to solve the equation. The equation has real number solutions. x = Use the square root property to solve the equation. The equation has real number solutions. x 11 = 0 5. Use the square root property to solve the equation. The equation has real number solutions. (x + 7) = 9 1/6
2 3//016 Section Classwork for a grade-virginia Davis 6. Use the square root property to solve the equation. x + 9 = 0 (Type an exact answer, using radicals as needed. Express complex numbers in terms of. Use a comma to separate answers as 7. Add the proper constant to the binomial so that the resulting trinomial is a perfect square. Then factor the trinomial. y + y Type the missing term that completes the square. y + y + (Simplify your answer. Type an integer or a fraction.) The factored trinomial is. (Type an expression using y as the variable. Type your answer in factored form.) 8. Add the proper constant to the binomial so that the resulting trinomial is a perfect square. Then factor the trinomial. z z + Add the proper constant to make a perfect square trinomial. z z + (Type an integer or a simplified fraction.) Factor the trinomial. (Use integers or fractions for any numbers in the expression.) 9. Solve the equation by completing the square. The equation has real number solutions. x Solve the equation by completing the square. The equation has real number solutions. x + x 6 = 0 /6
3 3//016 Section Classwork for a grade-virginia Davis 11. Fill in the blank. The quadratic formula is. Choose the correct answer below. A. b ± b 4ac a B. b ± b + 4ac a C. b ± b 4ac a D. b ± b 4ac a 1. For 3x 5x = 0, a = 3, b =, and c =. b =, c = 13. Use the quadratic formula to solve the equation. m = 3m 7m = 3 (Type an exact answer, using radicals and as needed. Use a comma to separate answers as 14. Use the quadratic formula to solve the equation. x x + 9 = 0 (Type an exact answer, using radicals and as needed. Use a comma to separate answers as 15. Use the discriminant to determine the number and types of solutions of the quadratic equation. 5 4x + 6 The equation has (1) (1) one real solution. two complex but not real solutions. two real solutions. 3/6
4 3//016 Section Classwork for a grade-virginia Davis 16. Use the discriminant to determine the number and types of solutions of the quadratic equation. 6 = x 4x The equation has (1) (1) two complex but not real solutions. two real solutions. one real solution. 17. Use the formula A = P(1 + r) t to find the rate r at which $ 000 compounded annually grows to $ 40 in years. r = % (Round to the nearest percent as 18. The Soule's live on a corner lot. Often, children cut across their lot to save walking distance. Given the diagram to the right, find how many feet of walking distance is saved by cutting across the property instead 0 ft x + 4 of walking around the lot. x The walking distance that is saved by cutting across the lot is feet. 4/6
5 3//016 Section Classwork for a grade-virginia Davis 1. (1) ± b.. (1) completing the square. 3. 1, , , , (y + 1) 8. 1 (z 1) 9. 5, , D. b ± b 4ac a , , (1) two real solutions. 16. (1) two complex but not real solutions. 5/6
6 3//016 Section Classwork for a grade-virginia Davis /6
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