MATH Flashcards
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
completing the square
which of the following forms is a quadratic equation that is written from the highest degree up to the constant
Factored/ standard/ linear / quadratic
standard
in the quadratic function f(x) = ax² + bx+ c, what happens to the graph if a is negative?
It opens downward
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)
(x-4)(x-5)
which of the following is/are the roots of 9x²-30x+29=0
No real solutions
The quadratic formula is used to solve equations in what form?
ax²+bx+c=0
Which of the following among the choices are the roots of -3x²-10x+12=0
-3
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
(X-20)(x-2)=0
What is the solution set of the inequality x²-6x+5<0
X=(-♾️,1) / x=[1,5] / x=(1,5)/ x=[5,+♾️]
X=(1,5)
Solve the quadratic inequality x²-5x+6<0
2> × <3 / -3<×<2 / -2<×<5 / x<2
2<×<3
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
No real solutions
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
Perfect square trinomial
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
True
Which of the following is an evaluation of the quadratic equation 5x² -125 =0 using extracting square roots
X=25
Solve the quadratic equation x² + 16x + 15 =0 using completing the square
X=-15
X=-1
Solve the quadratic inequality x² + X - 12 > 0. Then give the solution set and illustrate its graph.
Hatdog
T or F
The standard form of a quadratic function is f(x) = ax² + bx + c =0
False
T or f
Every quadratic function has its own corresponding equation
True
T or f
The zeroes or roots of a quadratic function are the solution to its corresponding equation
True
T or f
If the parabola opens upward, the lowest point is called the vertex (maximum)
False
T or f
The axis of symmetry is line down the middle of the parabola
True
What is the axis of symmetry for y=3x² -18x + 7
4
The vertex of y=-2x²+8x -3
(2,5)
The root/s of x² +8x +12 =0 are
X=-6, X=-2
What are the roots of x² + 3x + 2 =0
X= -1, X=-2
What are the roots of 7y² + 1 = 29
Y=2, y=-2
What are the roots of 2m² + 10 =210
M=10, M=-10
What are the roots of n² -5 =-4
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