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WorksheetsQuadratics Readiness
Total questions: 156
Worksheet time: 9hrs 50mins
Are you ready for review on QUADRATICS GRAPHS/GRAPHING?
yes
no
Find the y-intercept of f(x) = -x2 - 4x + 1
-2
4
1
-1
y = x2 - 6x + 11?
y = 5x2 - 20x + 13
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.
What is the axis of symmetry for the following equation?
y=4x2-8x+9
x = 5
x=1
y = 1
y = 5
Are you ready for the test on QUADRATICS GRAPHS/GRAPHING?
yes
no
Are you ready for review on WRITING EQUATIONS?
yes
no
What is the equation of this graph?
f(x) = x(x+4)
f(x) = x(x−4)
f(x) = 21x(x+4)
f(x) = 21x(x−4)
f(x)= 2(x+3)2 - 4
How did we transform from the parent function y = x2 to y = -1/5(x - 1)2 + 7 ?
reflection, vertical shrink, horizontal shift right, vertical shift up
vertical shrink, horizontal shift left, vertical shift up
reflection, horizontal shift right, vertical shift down
reflection, vertical stretch, horizontal shift left, vertical shift up
f(x) = x2 to the graph of g(x) = (x + 4)2?
A quadratic function has zeros -7 and 9.
What are the linear factors of the function?
(x+7) (x-9)
(x-7) (x+9)
(x+7)(x+9)
(x-7)(x-9)
Vertex: (-3, -10)
y-intercept: (0, -1)
Vertex: (-3, 19)
y-intercept: (0, 1)
Vertex: (-3, -1)
y-intercept: (0, -10)
Vertex: (3, 10)
y-intercept: (0, -1)
y = 3x2 +6x - 5
Which function’s graph has a vertex at (3, 5) and contains the point (5, 13)?
y =(x - 8)(x +2)
Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?
Are you ready for the test on WRITING EQUATIONS?
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no
Are you ready for review on WORD PROBLEMS?
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no
h = -16t2 + 64t + 960.
When did the ball hit the ground?
h = -16t2 + 64t + 960.
What is the maximum height?
h = -16t2 + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?
After how many seconds would it take you to reach the water if you went cliff diving and the following equation represents your path?
h(t) = -16t2 + 8t + 24
8 seconds
1 second
1.5 seconds
1/4 second
Are you ready for the test on WORD PROBLEMS?
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no
Are you ready for review on SOLVING 3 METHODS?
yes
no
Which of the following are other words for zeros? (Choose ALL that apply)
x-intercepts
roots
vertex
solutions
y-intercepts
Factor x2 + 12x + 20
(x + 2)(x + 10)
(x + 7)(x + 5)
(x + 6)(x + 6)
(x+4)(x+5)
Factor: x2+16x+64
(x+8)2
(x+2)(x+32)
(x+8)(x-8)
(x+4)2
k2 -2k - 24
k2+7x+10
n2 + 16n + 63
n2-13n+40
x2 + 13x + 12 = 0
Identify the 'b' value: y = 16x2 -8x -24
16
-8
8
-24
Use the graph to determine the solutions of the equation
0 = x2 - 5x + 1
0 and 5
0.5 and 4.5
0.2 and 4.8
1 and 7
What are the solutions to the quadratic equation:
3(x - 2)2 = 192
x = -6 and x = 10
x = 6 and x = -10
x = ±10
x = 2 ± 8√3
k2 - 6 = 43
3 + 9r2 = 12
a2 + 2a - 24 = 0
Factor 3x2 - 75
3( x + 5 ) ( x - 5 )
x=±5
( 3x + 15 ) ( x - 5 )
3( x - 5 ) ( x - 5 )
x2 + 6x = 5
x2 + 6x - 13 = 3
Find the factors of 5x2+20x+20
5(x+2)2
5(x-2)2
5(x+2)(x-2)
(5x+10)(x+2)
Factor
x2 + 8x
(x + 2)(x + 4)
(x + 8)(x + 1)
x(x + 8)
2x(x + 4)
Factor
6x2 - 23x + 20
(3x - 4)(2x - 5)
(3x - 4)(2x + 5)
(3x + 2)(2x - 10)
(3x + 2)(2x + 10)
i√3
±i√3
-3i
i±√3
Best method to solve this?
Factor
Complete the Square
Quadratic Formula
No Solution
Best method to solve this?
Factor
Completing the Square
Quadratic Formula
No real solution
Suzie solves the equation below:
x2 + 4x - 12 = 2
(x - 2)(x + 6) = 2,
by setting x -2 = 2 and x + 6 = 2.
Her solutions are x = 4 and x = -4.
Is Suzie correct? Why or why not?
Yes, she factored correctly and then used the zero product property
Yes, she factored correctly and then square rooted.
No, she did factor correctly, but she can't use the zero product property as shown.
No, she didn't factor correctly so the rest of her work is wrong.
-4y2 + 24y - 36 = 0
Solve
3x2 - 5 = -446
±7i
7i√3
±7i√3
-7√3
Factor 25x2-9y2-24y-16
(5x+3y+4)(5x-3y+4)
(5x+3y+4)(5x-3y-4)
(5x+3y-4)(5x+3y+4)
(5x-3y-4)(5x-3y+4))
y < x2 + 2x + 2?
(hint: plug it in and test if it's a solution)
Are you ready for the test on SOLVING 3 METHODS?
yes
no
Are you ready for review on DISCRIMINANT?
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no
If the discriminant equals 0, then the quadratic has:
1 Real Solution
2 Real Solutions
2 Imaginary Solutions
No Real Solution
If the discriminant is negative, then the quadratic has:
1 Real Solution
2 Real Solutions
2 Imaginary Solutions
No Real Solutions
If the discriminant is positive, then the quadratic has:
1 Real Solution
2 Real Solutions
2 Imaginary Solutions
No Real Solution
These are the points where the parabola goes through the X - AXIS
Are you ready for the test on DISCRIMINANT?
yes
no
Are you ready for review on COMPLEX NUMBERS?
yes
no
How do you write a complex number?
a-bi
a+bi
ai+b
ai-b
What is i?
1
-1
√-1
√1
√-4
-2
-2i
2
2i
√-108
3√-81
(3 + 2i) + (4i + 6)
-3i(4 + 2i)
(4 + 7i) - (3 + 2i)
(2 - 3i)(5 + 4i)
(-7+6i)2
49+36i
85
13-84i
13+84i
What is the simplified form of the above?
7/10 + 11/10 i
13/10 +1/10 i
5/4 - 3/2i
7/10 - 11/10 i
Are you ready for the test on COMPLEX NUMBERS?
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no
Are you ready for review on SYSTEMS?
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no
A.6A: The function below can be used to model the area of a rectangle in square inches, A, if the rectangle has a perimeter of 72 inches and a width of w inches.
A = 36w - w2
In this situation, which of the following best describes the domain of the function?
0 < w < 6
0 < w < 72
0 < w < 18
0 < w < 36
-6x + 12y = -30
y = 4x + 1
y = x2 + 3x - 5
y = x + 3
y = x2 - 4x + 6
y = x + 2
How many solutions does this system of equations have?
one solution
two solutions
no solutions
All of the above
How many solutions does this system of equations have?
one solution
two solutions
three solutions
no solutions
Graph the following equations:
y= - 2x - 3
y=x2-10x +22
Solve the depicted system algebraically
(0,-7) and (1, 6)
(0,-7) and (1, -6)
(0, 7) and (1, -6)
(-7,0) and (1, -6)
The system of a linear and a quadratic function can have the following number of solutions, EXCEPT
No solution
1 solution
2 solutions
3 solutions
Which of the following is the equation of the quadratic that contains (-5, 0), (-3, 8), and (-2, 6)
y=−2x2−12x−10
y=2x2+12x−10
y=−2(x−3)2+8
y=−2x2−3x+8
What is the quadratic equation of the table?
y=2x2+3x+6
y=x2 - 5x + 6
y=-5x2 + 10x + .89
y=(x-2)(x-3)+6
Write the standard form function for the given quadratic table.
f(x)=2x2+3x-5
f(x)=2x2+4x-1
f(x)=x2+2x
f(x)=x2+4x+0
Write the standard form function for the given quadratic table.
f(x)=3x2+1x+2
f(x)=3x2-3x+6
f(x)=6x2+2x-2
f(x)=x2+4x+1
A dolphin was swimming under water. A submarine nearby noticed the dolphins height from the surface depended on the time from which the submarine started watching. At 1, 3, and 4 seconds the dolphin was -7, -17, and -28 meters respectively. Find a, b, c.
-2, 3, -8
2, 3, 8
-2, -3, -8
2, -3, 8
Are you ready for the test on SYSTEMS?
yes
no
