Algebra 2 Unit 4

Question 1

Graphically, what are the solutions to a quadratic equation?

Answer 1

The points at which the function intersects the x-axis

Question 2

How many possible solutions are there in a quadratic equation?

Answer 2

2, 1, or 0

Question 3

When are the two solutions in a quadratic equation?

Answer 3

When the A and C values of the equation have opposite signs

Question 4

When is there one solution in a quadratic equation?

Answer 4

When the vertex falls on the x-axis

Question 5

When are there no solutions in a quadratic equation?

Answer 5

When the A and C values of the equation have the same signs

Question 6

When factoring, what do you always look for first?

Answer 6

The GCF or Greatest Common Factor

Question 7

What is the GCF of 12k - 18

Answer 7

6

Question 8

What is the GCF of 9x - 24x

Answer 8

3x

Question 9

What is the opposite of Factoring?

Answer 9

FOIL

Question 10

What is the opposite of FOIL?

Answer 10

Factoring

Question 11

When factoring a quadratic and a>1, what trick should you remember?

Answer 11

To divide by A and apply the reduce and slide method

Question 12

What is the difference of squares?

Answer 12

a^2 - b^2 = (a - b) (a+ b)

Question 13

What are the three steps to solve quadratics by factoring?

Answer 13

1. Move all terms to one side and set to zero. 2. Factor 3. Set each factor to 0 and solve each

Question 14

The imaginary letter i is also know as …

Answer 14

The square root of negative one

Question 15

The square root of negative one is also known as …

Answer 15

The imaginary letter i

Question 16

The swuare root of negative nine is …

Answer 16

3i

Question 17

i squared is equal to …

Answer 17

Negative One

Question 18

i to the 3rd power is …

Answer 18

Negative i

Question 19

i to the 4th power is …

Answer 19

1

Question 20

When dealing with negative square roors, what is the first step?

Answer 20

Take out the imaginary i

Question 21

What is the standard form of a complex number?

Answer 21

a + bi

Question 22

In a + bi, what is a?

Answer 22

The real part

Question 23

In a + bi, what is bi?

Answer 23

The imaginary part

Question 24

What must the conditions be when completing the square?

Answer 24

The a value must be 1 and the b value must be even

Question 25

What must the conditions be when solving by square roots?

Answer 25

There must be no b term in the given quadratic equation

Question 26

When can you use the quadratic formula?

Answer 26

Always, it never fails

Question 27

What must the conditions be when solving by factoring?

Answer 27

The roots must be rational

Question 28

What is the discriminant?

Answer 28

b^2 - 4ac (The Randicand in the quadratic formula)

Question 29

How many roots and what type when the discrimnant is a perfect square and greater than 0?

Answer 29

2 real rational roots

Question 30

How many roots and what type when the discrimnant is a not perfect square and greater than 0?

Answer 30

2 real irrational roots

Question 31

How many roots and what type when the discrimnant is equal to 0?

Answer 31

1 real rational root

Question 32

How many roots and what type when the discrimnant is less than 0?

Answer 32

2 imaginary roots

Question 33

When d = 64, what type and how many roots do you have?

Answer 33

2 real rational roots

Question 34

When d = 32, what type and how many roots do you have?

Answer 34

2 real irrational roots

Question 35

When d = 0, what type and how many roots do you have?

Answer 35

1 real rational root

Question 36

When d = -4, what type and how many roots do you have?

Answer 36

2 imaginary roots

Question 37

What is the quadratic formula?

Answer 37