MATH

Question 1

which method is used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial

factoring/completing the square/quadratic formula/extracting square roots

Answer 1

completing the square

Question 2

which of the following forms is a quadratic equation that is written from the highest degree up to the constant
Factored/ standard/ linear / quadratic

Answer 2

standard

Question 3

in the quadratic function f(x) = ax² + bx+ c, what happens to the graph if a is negative?

Answer 3

It opens downward

Question 4

which of the following is the factored form of x²-9x+20=0
(x-4)(x-5) / (x+4)(x-5) / (x-4)(x+5) / (x+4)(x+5)

Answer 4

(x-4)(x-5)

Question 5

which of the following is/are the roots of 9x²-30x+29=0

Answer 5

No real solutions

Question 6

The quadratic formula is used to solve equations in what form?

Answer 6

ax²+bx+c=0

Question 7

Which of the following among the choices are the roots of -3x²-10x+12=0

Answer 7

 -3

Question 8

Which are the factors of the equation x² -22x = -40
(X-20)(x-2)=0 / (x+20)(x-2) =0 / (x-20)(x-2)=0 / none of the above

Answer 8

(X-20)(x-2)=0

Question 9

What is the solution set of the inequality x²-6x+5<0
X=(-♾️,1) / x=[1,5] / x=(1,5)/ x=[5,+♾️]

Answer 9

X=(1,5)

Question 10

Solve the quadratic inequality x²-5x+6<0

2> × <3 / -3<×<2 / -2<×<5 / x<2

Answer 10

2<×<3

Question 11

What is the nature of the roots of the equation 4x²+26x+45=0

Imaginary/one real solution / no real solutions / teo distinct real solution

Answer 11

No real solutions

Question 12

In solving quadratic equation using completing the square, once (b/2)² on both sides are solved, what will happen to the left hand side of the equation?

Imaginary/standard form / no real solutions / perfect square trinomial

Answer 12

Perfect square trinomial

Question 13

Which of the following will complete the statement? After solving each test point to the original inequality, the region belong to the solution set if the test point from the region holds ___

True/ false/ both true and false / neither true nor false

Answer 13

True

Question 14

Which of the following is an evaluation of the quadratic equation 5x² -125 =0 using extracting square roots

Answer 14

X=25

Question 15

Solve the quadratic equation x² + 16x + 15 =0 using completing the square

Answer 15

X=-15
X=-1

Question 16

Solve the quadratic inequality x² + X - 12 > 0. Then give the solution set and illustrate its graph.

Answer 16

Hatdog

Question 17

T or F
The standard form of a quadratic function is f(x) = ax² + bx + c =0

Answer 17

False

Question 18

T or f
Every quadratic function has its own corresponding equation

Answer 18

True

Question 19

T or f
The zeroes or roots of a quadratic function are the solution to its corresponding equation

Answer 19

True

Question 20

T or f
If the parabola opens upward, the lowest point is called the vertex (maximum)

Answer 20

False

Question 21

T or f
The axis of symmetry is line down the middle of the parabola

Answer 21

True

Question 22

What is the axis of symmetry for y=3x² -18x + 7

Answer 22

4

Question 23

The vertex of y=-2x²+8x -3

Answer 23

(2,5)

Question 24

The root/s of x² +8x +12 =0 are

Answer 24

X=-6, X=-2

Question 25

What are the roots of x² + 3x + 2 =0

Answer 25

X= -1, X=-2

Question 26

What are the roots of 7y² + 1 = 29

Answer 26

Y=2, y=-2

Question 27

What are the roots of 2m² + 10 =210

Answer 27

M=10, M=-10

Question 28

What are the roots of n² -5 =-4

Answer 28

..