ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 2-1

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Presentation transcript:

ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 2-1 1/18/2019 ALGEBRA II HONORS/GIFTED @ REVIEW FOR TEST 2-1

QUESTION #1 Factor completely. 9x2 – 81 25x2 + 40x + 16

ANSWERS TO QUESTION #1 9(x + 3)(x – 3) (5x + 4)2

Solve. You may use Imaginary Numbers. QUESTION #2 Solve. You may use Imaginary Numbers. 5x2 – 20x + 80 = 0

ANSWER TO QUESTION #2

ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 2-1 1/18/2019 QUESTION #3 Determine the nature of the roots. 2x2 – 7x + 12 = 0 5x2 + 9x – 4 = 0 4x2 - 17x = 15

ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 2-1 1/18/2019 ANSWERS TO QUESTION #3 2 imaginary roots 2 Real (irrational) roots 2 Real (rational) roots

QUESTION #4 If z1 = 7 + 2i and z2 = 6 – 5i, find z1 – z2 z1 • z2

ANSWERS TO QUESTION #4 1 + 7i 52 – 23i

QUESTION #5 Write a quadratic equation if one of its roots is -3 – 2i.

ANSWER TO QUESTION #5 x2 + 6x + 13 = 0

QUESTION #6 Simplify. i2001 i3428 i2345678909876543212346

ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 2-1 1/18/2019 ANSWERS TO QUESTION #6 i 1 -1

QUESTION #7 Given the equation for the parabola y = -2x2 + 8x - 3 … Write the coordinates of the vertex. Write the equation in Vertex Form.

ANSWER TO QUESTION #7 (2, 5) y = -2(x - 2)2 + 5

QUESTION #8 Solve the system of equations. 3x – 4y = -12 -6x + 8y = 24

ANSWER TO QUESTION #8 infinitely many

QUESTION #9 A parabola contains these three ordered pairs : (-2, -32), (2, -12), and (5, -81). Write three equations in y = ax2 + bx + c form using the ordered pairs. Simplify.

ANSWERS TO QUESTION #9 -32 = 4a – 2b + c -12 = 4a + 2b + c -81 = 25a + 5b + c

QUESTION #10 Use the equations from #9 to find the equation, in Standard Form, of the parabola.

ANSWER TO QUESTION #10 y = -4x2 + 5x - 6

STUDY Sections 4-1 to 4-8 Word Problems

S O L U T I N