1st Unit Test in Math 9

1st Unit Test in Math 9 I. Choose the letter of the correct answer.  _______ 1. What is a polynomial polynomial equation equation of degree degree two two that can be written in a form a   + bx + c = 0, where a, b, c are real numbers and a  0. a. Linear Equation b. Linear Inequality c. Quadratic Equation d. Quadratic Inequality

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 _______ 2. Which of the following equation equation is NOT a quadratic equation?  a. 2  + 5x  – 3 = 0 b. 3x ( x-2 ) = 10 c. ( 2x + 5 ) ( x-1 ) = -6 d. 2x+x+2=0  _______ 3. Write ( x+3 x+3 )( x+4 ) = 0 in standard standard form of a quadratic equation. equation.    a. + 3x + 4 b. + 6x + 12 c. + 7x + 12 d.  + x + 12  _______ 4. What is ? a. 4 b. 4 c. 4 d. 4  ______ 5. 5. Which of of the following following values of x make the the equation equation +7x-18=0 true? I. -9 II. 2 III. 9 a. I & II b. II & III c. I & III d. I, II, III  ______ 6. 6. Which of of the following following equations equations may be be solved easily by factoring? factoring?    a. c.  b. 12t + 36 = 0 d.   ______ 7. 7. Observe Observe the solution solution given below:  The equation is  is to be solved by completing the square. Observe the solution;  1  2  3  4 Something is wrong with the solution, which part of the solution?

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16 √ 16

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±

2  = 7   +   + 4 − 32 = 0   + 4 −32 − 32 = 0   + 4 = 32   + 4 + 16 = 32 + 16  + 4  = 48

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  − 64 = 0 2  + 8 − 10 = 0

a. 1 b.2 c.3 d.4  _______ 8. Describe the roots roots of quadratic quadratic equation equation when when the value value of a. rational & equal c. rational & not equal b. irrational & equal d. irrational & not equal  _______9.  _______9. Describe the roots of quadratic quadratic equation equation when the value of a. rational & equal c. rational & not equal b. irrational & equal d. no roots

 − 4 is 0.  − 4 is negative.

 _______10.  _______10. Find the discriminant discriminant of the the equation equation  . a. 0 c.4 b.2 d.6 II.Write each quadratic equation in standard form, a x 2 + b x + c = 0 then identify the values of a, b, and c. Answer the questions that follow.

  − 4 4 +4 +4 = 0

2

 A.  2.   12t + 36 = 0 3.  4.  5.(x+1)(x+1)=0

   +  − 3 = 0    + 2  + 8 − 10 = 0  2  + 5 = 4

a x  + b x + c = 0

III. Complete the following solution by finding the missing term.

  + 6 − 11 = 0   +6  + 6 − 11 ___ ___1.1._____ = 11 ___2.__) = __  = 9    (2) = (___2. __3. 3.  ____ ____ 2   + 6 + ___4.4.________ = 11 11 + 9   + 6 + 9 = ___ ______5. _5._____ _____  + 3  + ________6.6.___ ___ = 20  + 3  = 20   + 3 = √   =  √ 20 20 ___7. ___7._____ = ±4.47  +3 + 3 = 4.47 47  = 4.4.47− 4 7 − ____8.8.______ = _____9. _____9.______

a

b

c

 + 3 = −4.4 −4.477  = −4.47−3 = _____10. _____10.______ ______ IV. Solve the following. Show your Solutions.

1. Solve by extracting square root. x2 = 25 2. Solve by factoring. x 2-7x+12=0 3. Solve by quadratic equation. x 2 + 7 x +6=0 4. Find the discriminant of x 2 + 7 x +6=0 5. Find the Sum and products of x 2 + 7 x +6=0