For responses that require non-keyboard symbols, the answer should be expressed in written form as shown in the example below.
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| 1) Explain the discriminant.
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| 2) What does i represent?
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| 3) What value of the discriminant yields 2 real solutions?
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| 4) What value of the discriminant yields 1 real solution?
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| 5) What value of the discriminant yields 2 imaginary solutions?
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For problems 6 – 10, find the discriminant for each function.
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| 7) f(x) = –2x2 + 3x – 1
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| 8) f(x) = –5x2 + 12x – 8
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| 9) g(x) = –4x 2 + 3x + 5
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| 10) g(x) = 9x2 – 6x + 1
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Based on your answers to problems 6-10, tell the number and type of solutions for each.
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| 11) Number and type of solutions for #6.
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| 12) Number and type of solutions for #7.
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| 13) Number and type of solutions for #8.
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| 14) Number and type of solutions for #9.
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| 15) Number and type of solutions for #10.
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| For problems 16 – 21, solve for x using the quadratic equation. Simplify completely. When necessary, write your answer as a complex number (a + bi). |
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| 16) –x2 + 5x – 6 = 0
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| 17) x2 + 4 = 0
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| 18) 2x2 – 6x = –5 |
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| 19) 8x2 – 4x + 5 = 0
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| 20) –9x2 + 6x – 5 = 0
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| 21) x2 + 16x – 225 = 0
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| 22) Factor by grouping 4bx + by + 4cx + cy
Click here to review the unit content explanation for Factoring.
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| 23) Factor the trinomial z2 + 8z + 15
Click here to review the unit content explanation for Factoring.
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| 24) Use factoring to find the zeros of the function, and then use the zeros to determine the vertex of the parabola. State the coordinates of the vertex. y = x2 + 4x + 4
Click here to review the unit content explanation for Quadratics.
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| 25) Find the discriminant for the equation f(x) = 4x2 – 8x +2
Click here to review the unit content explanation for More on Quadratics.
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| 26) What is the domain of the function?
Click here to review the unit content explanation for Rational Expressions and Functions.
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| 27) Evaluate the rational function.
Click here to review the unit content explanation for Rational Expressions and Functions.
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| 28) Find the product.
Click here to review the unit content explanation for Rational Expressions.
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| 29) Find the quotient.
Click here to review the unit content explanation for Rational Expressions.
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| 30) Find the square root.
Click here to review the unit content explanation for Operations with Radicals.
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| 31) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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