Review for the Periodical Exam

Quiz Bee (Review for the Periodical Exam)

Easy Round

(30 seconds each)

Multiple Select

In the standard form, ax² + bx + c = 0, ax² is called quadratic term.

• TRUE

• FALSE

Multiple Select

The formula in getting the product of the roots is  .

 $\frac{-c}{a}$  

• TRUE

• FALSE

Multiple Select

A quadratic equation in one variable has a highest exponent of two.

• TRUE

• FALSE

Multiple Select

When  $b^2-4ac$   is greater than 0 and a perfect square, the roots are unequal                       rational numbers.

• TRUE

• FALSE

Multiple Select

Quadratic formula is the easiest and most appropriate method for solving the roots of the equation  $x^2=25$  

• TRUE

• FALSE

Multiple Choice

What is the value of c in the equation 2x² + 3x = 9?

• -9

• 9

• 3

• 2

Multiple Choice

When b2– 4ac is greater than 0 and a perfect square, the roots are?

• one rational root

• two unequal irrational roots

• two unequal rational roots

• no real roots

Multiple Choice

What are the roots of the equation
 $x^2+16\ =\ 0$  

•  $\pm4$  

•  $\pm6$  

• no real roots

•  $\pm16$  

Multiple Choice

What is the formula for the discriminant?

• $b^2+4ac$

• $b^2-4ac$

• $-b^2+4ac$

Multiple Choice

Which of the following expressions is a quadratic equation?

• 6( 3x ) =0

• 4(2x +x)= 0

• 9x – 7 = 0

• 50x² = 0

Poll

How many items did you get correctly?

• 1-3

• 4-6

• 7-8

• 9-10

Average Round

(1 minute each)

Fill in the Blanks

The discriminant of the quadratic equation x² – 4x + 4 = 0 is

.

Fill in the Blanks

The sum of the roots of the quadratic equation

 $8x+4x^2-12=0$ is

. 

Fill in the Blanks

The product of the roots of the quadratic equation

 $8x+4x^2-12=0$ is

. 

Fill in the Blanks

The product of the roots of the quadratic equation

 $x^2-3x=10$ is

. 

Fill in the Blanks

The sum of the roots of the quadratic equation

 $x^2-3x=10$ is

. 

Multiple Choice

What is the nature of the roots of the quadratic equation

 $x^2-4x\ +4\ =\ 0$ ? 

• one rational root or double roots

• two unequal irrational roots

• no real roots

• two rational roots

Multiple Choice

What is the nature of the roots of the quadratic equation

 $x^2+7x+10=\ 0$ ? 

• one rational root or double roots

• two unequal irrational roots

• no real roots

• two unequal rational roots

Multiple Choice

What is the discriminant of x² + 7x + 10 ?

• -9

• 9

• 0

Multiple Choice

Find the values of x:

x² + 6x = 27

• 3,-9

• -3,-9

• 3,9

Multiple Choice

Solve for the discriminant of

x² – x + 4 = 0.

• 15

• -15

• 16

• -16

Poll

How many average round items did you get correctly?

• 1-3

• 4-6

• 7-8

• 9-10

Difficult Round

(2 minutes each)

Fill in the Blanks

What are the roots of x²=0

Fill in the Blanks

Solve for the roots of x²+ 64 = 0

Multiple Select

What are the roots of the quadratic equation 3x²=75

• $\pm5$

• $\pm25$

Multiple Select

What are the roots of the quadratic equation  $\left(x-3\right)^2\ =\ 36$  

• 9

• -3

• -9

• 3

Multiple Select

Solve for the roots of x² + 10x + 8 = 0

• $\sqrt{17}+5$

• $-\sqrt{17}+5$

• $-\sqrt{17}-5$

• $\sqrt{17}-5$

Poll

How many difficult questions did you answer correctly?

• 1-3

• 4-6

• 7-8

• 9-10