Math 9 First Quarter Exam

It is a polynomial equation of degree two that can be written in the form ax² + bx + c = 0, where a, b and c are real numbers and a ≠ 0.

• Linear Equation

• Linear Inequality

•   Quadratic Equation

• Quadratic Inequality

Which of the following is a quadratic equation?

• 2r² + 4r  - 1     

• 3t – 7 = 12

• s² + 5s  - 14 = 0

• a.    2x² – 7 ≥  3

In the quadratic equation 3x² + 7x  - 4 = 0, which is the quadratic term?

• x²

• 7x

• 3x²

• a.    -4

Which of the following is the factor of x² + 9x + 8 = 0?

• (x + 1) (x + 8)

• (x +4 ) (x + 2)

• (x + 9)(x + 1)

•    (x – 1) (x-8)

   When solving quadratic equation, when do you use the plus or minus (±) symbol?

•   After taking the square roots of both sides

•    After taking half of b

• After adding the square of both sides

•   After setting the equation equal to zero

  What is the first step in solving this equation by completing the square? a² + 10a + 21 = 0?

•    Set the equation equal to zero

•    Add a² and 10a together

• Divide 10 by two and add the result on both sides

• Subtract the 21 on both sides

  Determine the values of a, b, c for the quadratic equation: 4x² - 8x = 3

• a = 4, b = -8 and c = 3

• a = 4, b = 8 and c = 3

• a = 4, b =  -8, and c = -3

• a.    a = 4, b = 8, and c = -3

What should you do first in solving this equation? x²  + 6x – 13 = 3

•    Get factored form

•   Make it equal to zero by subtracting 3 on each side

• Write down, a= 1, b=6, and c=-1

• Type it all in a calculator

Solve by factoring: x² – 9x + 20  = 0

• x = -4 and x = -5

• x =4 and x = 5

• x = 20 and x = -9

• x = -4 and x = 5

Solve by taking square roots: 5b²  - 4 =21

• b = 9 and =-9  

• b = 8 and b =-8          

• b =3 and b =-3

• no real solution