Quiz about Methods of Solving Quadratic Equations

Question 1

Decide on the best method:
3a² + 13a = -4

Accepted Answer

Quadratic Formula

Answer

Square Root Method

Answer

Factor Method

Answer

Complete the Square

Question 2

Solve: 2n² + 4n - 16 = 0

Accepted Answer

-4, 2

Answer

-2, 4

Answer

-16

Answer

-4

Question 3

Solve the following equation by completing the square:
n² - 2n - 3 = 0

Accepted Answer

{3 and-1}

Answer

{4 and -4}

Answer

{5 and -3}

Answer

{8 and -7}

Question 4

The quadratic function y = -2x² + 4x + 6 is pictured. What are the solutions to the equation 7.5 = -2x² + 4x + 6?

Accepted Answer

x = 0.5

Accepted Answer

x = 1.5

Answer

x = 1

Answer

x = 8

Answer

x = 6

Question 5

Select the solutions to the equation

4x² + 11x + 7 = 0

Accepted Answer

x = - 1.75

Accepted Answer

x = - 1

Answer

x = 6

Answer

x = 1

Question 6

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

Accepted Answer

Subtract the 21

Answer

Set the equation equal to zero

Answer

Divide 10 by 2 and add the result to both sides

Answer

Add a² and 10a together

Question 7

Solve the equation using the zero product property.

3x(2x - 4) = 0

Accepted Answer

x = 0 or x = 2

Answer

x = -1/3 or x = -2

Answer

x = 0 or x = -2

Answer

x = -1/3 or x = 2

Question 8

Solve by finding square roots and simplify completely:
$$x^2-16=0$$

Accepted Answer

$$x=\pm4$$

Answer

$$x=\pm16$$

Answer

$$x=4$$

Answer

No real solutions

Question 9

Solve
16a² - 9 = 0

Accepted Answer

a = ^-3/₄, ³/₄

Answer

a = ^-4/₃, ⁴/₃

Answer

a = ^-9/₁₆, ⁹/₁₆

Answer

a = ^-16/₉, ¹⁶/₉

Question 10

Solve using the Quadratic Formula:
$$x^2+10x+9=0$$

Accepted Answer

$$x=-1\ or\ x=-9$$

Answer

$$x=1\ or\ x=9$$

Answer

$$x=-2\ or\ x=-18$$

Answer

No real solutions

Question 11

Use the quadratic formula to find the solutions for 2x² - 9x + 5 = 0

Accepted Answer

$$\frac{9\pm\sqrt[]{41}}{4}$$

Answer

-8.14 and 6.14

Answer

-4.07 and 3.07

Answer

ZERO solutions

Question 12

Solve by using the best method (factoring, completing the square, or taking square roots):

3x² - 36x = 39

Accepted Answer

13 or -1

Answer

6 or -6

Answer

1 or -13

Answer

36 or -39

Methods of Solving Quadratic Equations

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