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Total questions: 148
Worksheet time: 6hrs 23mins
It is a polynomial equation of degree two that can be written in the form
ax2 + bx + c = 0, where a, b, and c are real numbers and a ≠ 0.
Linear Equation
Linear Inequality
Quadratic Equation
Quadratic Inequality
Which of the following is a quadratic equation?
3s2+s–4
m2–8m–1=0
2x–1=5
5y2+4y≥7
In the quadratic equation 2x2 – 9x – 5 = 0, which is the quadratic term?
2x2
x2
– 9x
– 5
In the quadratic equation 2x2 – 9x – 5 = 0, which is the linear term?
2x2
x2
– 9x
a. – 5
In the quadratic equation 2x2 – 9x – 5 = 0, which is the constant term?
2x2
x2
– 9x
– 5
Solve by factoring: x2-6x+9=0
x=3
x=-3
x=-4, x=-2
Not factorable
Solve by extracting the roots:
4m2 = 100
m=25, -25
m=96
m=-96
m=5, -5
Solve by extracting the roots:
3x2 = 192
-32 or 32
-8 or 8
-64 or 64
No Solution
Solve by factoring:
x2−15=−2x
x= -2 ; x= -3
x= 3; x= -8
x= -5 ; x= -3
x= -5 ; x= 3
Solve by factoring: x2-9x+20 =0
x=4, x=5
x=-2, x=10
x=-5, x-4
not factorable
Which one does not belong?
solutions
factors
x-intercepts
zeroes
Write an equation in Factored Form, whose solutions are 7 and 3.
y = (x - 7)(x - 3)
y = (x + 7)(x + 3)
y = (x + 7)(x - 3)
y = (x - 7)(x + 3)
Write an equation in Factored Form, whose solutions are -7 and -3.
y = (x - 7)(x - 3)
y = (x + 7)(x + 3)
y = (x + 7)(x - 3)
y = (x - 7)(x + 3)
Write an equation in Factored Form, whose solutions are 0 and −7 .
y = x(x + 7)
y = x(x - 7)
y = x( 7x )
y = x( -7x )
What are the x-intercepts for the graph?
x=3, 2
x=−3, 2
x=3, −2
x=0
Write the equation for the graph in factored form.
y=(x+3)(x−2)
y=(x−3)(x+2)
Which equation is CORRECT for the graph?
y=(x−1)(x+2)
y=(x−1)(x−2)
y=(x+1)(x+2)
y=(x+1)(x−2)
Write the equation for the quadratic in factored form.
y=(x−3)2
y=(x+3)2
y=(x+3)(x−3)
y=x−3
What is the x-intercept of the graph?
x = 0
x = 1
x = 2
x = 3
Write a Quadratic equation in Standard Form, whose solutions are 7 and 3 .
y=x2−10x+21
y=x2+10x+21
y=x2−10x−21
y=x2+10x−21
Write the equation for the graph in factored form.
y=(x−3)(x+4)
y=(x+3)(x−4)
y=(x+3)(x−3)
y=(x+4)(x−4)
Which of the following statements are TRUE?
Select all that apply.
The "a" value is positive.
The y-intercept is positive.
It has two zeros.
The axis of symmetry is x = 1.
The vertex is at (0, 5).
Which of the following equations matches vertex form of a quadratic?
ax + by = c
y = a(x - h)2 + k
y = ax2 + bx + c
y = mx + b
y=a(x-h)2+k
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
y = -2
x = 3
x = -3
y = 2
y=x2+4
y=−x+4
y=−x2−4
y=−x2+4
What is the standard form of a quadratic?
y = ax2 + bx + c
y = a(x - h)2 + k
y = mx + b
y = (x - h)(x - k)
Convert the equation into standard form:
y = -5(x + 2)2 - 10
y = -5x2 - 20x - 30
y = -5x2 - 4x - 10
y = 25x2 + 100x + 90
y = 25x2 - 10x - 30
x2 + 6x - 13 = 3
Solve by factoring: x2 = 7x + 18
-7 and -18
9 and 2
9 and -2
2 and 7
x2 + 4x - 40 = -8
Solve the following for x by using the Quadratic Formula
2x2+6x=7
Solve by the Extraction of Roots method: x2 = 16
± 4
± 8
4
8
Solve by the Extraction of Roots method: -5x2 = -50
± 5
± 10
± √10
-10
Solve by the Extraction of Roots method: (x - 2) 2 = 49
9 or -5
± 9
± 5
± 7
a2 + 10a + 21 = 0
x2 – 8x + ___
x2 + 12x + ____
x2 + 14x + ____
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
Solve the following quadratics equation by completing the square...
x2 + 4x + 1 = 0
x = -2 ± √3
x = -3 ± √2
x = 2 ± √3
x = 2 ± √2
x2+ 6x - 4 = 36
Solve by ANY method you have learned: x2−2x+11=0
1±i√10
1±√10
-1±i√10
-1±√10
x2 + 4x= 12
x2 + 6x - 13 = 3
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
(x + 2)(x - 3) = 0
Solve by factoring
-4, 2
-2, 4
-16
-4
Solve using the Quadratic Formula:
2x2 + 2x − 12 = 0
x = −2, 3
x = 2, 3
x = 2, −3
x = −2, −3
Solve by factoring. (HINT: Factor GCF 1st)
x = 3, x = -6
x = 0, x = 2
x = 2, x = 3
x = -2, x = 1
What number added would make a perfect square trinomial?
x2 - 8x + ______
-4
-64
12
16
3x2 + 18x +15
x4-9x2
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.
n2 - 5 = -4
The height of an item falling can be modeled by ht = -16t2 + ho . Where ho is the initial height in feet, and ht is the height in feet at time t in seconds. If I drop a penny at a height of 18.6 feet, how long will it take the item to hit the ground?
1.08 seconds
2.08 seconds
0.08 seconds
1.17 seconds
The number of bags of peanuts sold at the Kennedy Center from 1900 to 2004 can be modeled by S = 4t2 + t - 3, where t is the number of years since 1900. How many bags of peanuts were sold in 2000?
40,050
40,097
19,997
98
The height of an item falling can be modeled by ht = -16t2 + ho . Where ho is the initial height in feet, and ht is the height in feet at time t in seconds. If I drop a cup at a height of 18.9 feet, how long will it take the item to hit the ground?
2.09 seconds
1.09 seconds
1.19 seconds
0.09 seconds
The number of foam fingers sold at the Kennedy Center from 1900 to 2004 can be modeled by S = 2t2 + 2t - 1, where t is the number of years since 1900. How many foam fingers were sold in 1976?
11,628
11,703
151
5,775
The height of an item falling can be modeled by ht = -16t2 + ho . Where ho is the initial height in feet, and ht is the height in feet at time t in seconds. If I drop a bowling ball at a height of 13.1 feet, how long will it take the item to hit the ground?
0.1 seconds
1.9 seconds
0.90 seconds
0.81 seconds
The number of foam fingers sold at the Kennedy Center from 1900 to 2004 can be modeled by S = 2t2 + 2t - 1, where t is the number of years since 1900. How many foam fingers were sold in 1976?
3,405
3,434
1,739
65
The height of an item falling can be modeled by ht = -16t2 + ho . Where ho is the initial height in feet, and ht is the height in feet at time t in seconds. If I drop a bowling ball at a height of 13.1 feet, how long will it take the item to hit the ground?
0.48 seconds
1.69 seconds
0.69 seconds
0.31 seconds
Determine the values of a, b, and c for the quadratic equation:
4x2 – 8x = 3
a = 4, b = -8, c = 3
a = 4, b =-8, c =-3
a = 4, b = 8, c = 3
a = 4, b = 8, c = -3
What is this formula?
This is the standard formula.
This is the quadratic formula.
This is the square root formula.
This is the Pythagorean formula
Use the quadratic formula to find the solutions for
y = -x2 - 5x + 12
No Real Solution
Solve 2x2 + 7x - 15 = 0
-3/2 or 5
No Solution
-5 or 3/2
0.7 or 5
2x2−36=x
x=2−9and 4
x=29 and −4
x=4 and −4
No real solution
y = x2 +5x +7, match each leading coefficient with its correct letter
Use the quadratic formula to find the solutions for
y = -x2 - 5x + 12
-4.9 and -0.1
-8.54 and 8.54
-0.45 and 3.55
-6.77 and 1.77
f(x)= (x - 2)(x + 3)?
h = -16t2 + 8t + 24?
y = 2x2 - 8x + 9
x2 + 6x + 20
16a2 - 9 = 0
x2-5x+6=0 are
4x2-5x-9=0 are
x2-7x+12=0 is
x2-18x+____=(x- ____)2
Solve the following quadratic equation...
x2 + 3x + 2 = 0
x = -1
x = -2
x = 1
x = 2
x = -1
x = 2
x = 1
x = -2
Solve the following quadratic equation...
x2 + 7x + 12 = 0
x = -2
x = -6
x = -3
x = -4
x = -1
x = -12
x = 2
x = 6
Solve the following quadratic equation...
x2 + 9x + 20 = 0
x = -2
x = -10
x = -5
x = -4
x = -1
x = -20
x = 4
x = 5
Solve the following quadratic equation...
x2 + 13x + 36= 0
x = -2
x = -18
x = -9
x = -4
x = -3
x = -12
x = -6
x = -6
Solve the following quadratic equation...
x2 + 4x - 32 = 0
x = 8
x = -4
x = -8
x = 4
x = -2
x = 16
x = 2
x = -16
Solve the following quadratic equation...
x2 + 2x - 24 = 0
x = 6
x = -4
x = -6
x = 4
x = -8
x = 3
x = 8
x = -3
What is the highest degree of a Quadratic Equation?
1
2
3
4
The Standard Form of a Quadratic Equation looks like this:
ax2 + bx + c= 0
ax2 + bx = c
ax2 + bx2 + c= 0
ax + bx + c= 0
In the Quadratic Equation 2x2 + 5x + 3 = 0, what is the value of a?
1
2
3
5
In the Quadratic Equation 10x2 - 4x + 5 = 2, what is the value of b?
10
-4
5
2
What is the value of c in the quadratic equation, x2 + 2x - 1 = 0
2
-2
1
-1
What is the standard form of the quadratic equation, 5x2 = 3x - 4
5x2 + 3x + 4 = 0
5x2 - 3x + 4 = 0
5x2 + 3x - 4 = 0
5x2 - 3x - 4 = 0
what is the value of a in the Quadratic Equation, 2x2 -3x + 1 = 0
(a)
What is the value of b in the Quadratic Equation, -5x2 +3x +1 = 0
(a)
What is the value of c in the Quadratic Equation, x2 - 4x -1 = 0
(a)
What is the value of b in the Quadratic Equation 3x2 - 4x = 2x -1
(a)
How many solutions can a quadratic have?
1 solution
3 solutions
0 solutions
2 solutions
Solve the equation by factoring.
x = {-5,-3}
x = {5,-3}
x = {-5,3}
x = {5,3}
x2-5x+6=0 are
4x2-5x-9=0 are
x2-18x+____=(x- ____)2
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
x2 + x - 6 = 0
What is the standard form of quadratic equation?
ax2 + bx + c = 0
ax + bx + c = 0
x2 + bx + c = 0
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
y = x2 - 6x + 11?
Y = -3x2 +7x - 2
What are the values of a, b, and c in the quadratic equation 3x2 - 10 = -4x
a = 3x2 b = -10 c = -4x
a = 3 b = -10 c = -4
a = 3 b = -4 c = -10
a = 3 b = 4 c = -10
