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WorksheetsSolving Algebraically Quadratic Inequalities
Total questions: 23
Worksheet time: 2hrs 6mins
Name
Class
Date
1.
Is (2, 3) part of the solution set?
y < 2x2 -3x+1
y < 2x2 -3x+1
a)
Yes
b)
No
2.
Which inequality is shown?
a)
y<2(x-6)2-5
b)
y<2(x+6)2-5
c)
y>2(x+6)2-5
d)
y>2(x-6)2-5
3.
Which inequality is shown?
a)
y< -x2
b)
y≤ -x2
c)
y> -x2
d)
y≥ -x2
4.
Which inequality is shown?
a)
y < -5(x-2)(x-4)
b)
y < -5(x+2)(x+4)
c)
y > -5(x-2)(x-4)
d)
y > -5(x+2)(x+4)
5.
Which system of inequalities is shown?
a)
y< -2(x+4)2+2
y>½(x+2)2-2
y>½(x+2)2-2
b)
y< -2(x+4)2+2
y≥½(x+2)2-2
y≥½(x+2)2-2
c)
y> -2(x+4)2+2
y<½(x+2)2-2
y<½(x+2)2-2
d)
y> -2(x+4)2+2
y≤½(x+2)2-2
y≤½(x+2)2-2
6.
What is the solution set to the inequality 0<x2-4x-5
a)
x<-1 or x>5
b)
x<-5 or x>1
c)
-1<x<5
d)
-5<x<1
7.
Which is a solution to the following system?
y < 6x2 + 2x - 1
y ≥ -2x2 - x + 3
y < 6x2 + 2x - 1
y ≥ -2x2 - x + 3
a)
(0, 0)
b)
(0, -3)
c)
(1, 5)
d)
(1, -8)
8.
(2,2) is a solution to the inequality 2x-6y>x2+4x-8
a)
True
b)
False
9.
What is the vertex?
y = -2x2 + 4x + 3
y = -2x2 + 4x + 3
a)
(0, 3)
b)
(-1, 5)
c)
(1, 5)
d)
(1, -5)
10.
Find the y-intercept of f(x) = 2x2-2x + 1
a)
2
b)
-2
c)
1
d)
-1
11.
What is the domain of y=-3x2+6x-1?
a)
(0, oo)
b)
(-1,oo)
c)
(-oo, oo)
d)
(-oo, -3)
12.
If the discriminant is positive, then the quadratic has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
13.
If the discriminant is negative, then the quadratic has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solutions
14.
Is (2, 3) part of the solution set?
y < 2x2 -3x+1
y < 2x2 -3x+1
a)
Yes
b)
No
15.
Which graph is shown?
a)
y<-2x2-8x-12
b)
y>-2x2-8x-12
c)
y≤-2x2-8x-12
d)
y≥-2x2-8x-12
16.
Which graph is shown?
a)
y≥x2-6x+12
b)
y>x2-6x+12
c)
y≤x2-6x+12
d)
y<x2-6x+12
17.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
Not enough information
18.
Solve the inequality.
x2-7x+10>0
x2-7x+10>0
a)
(0,-2)U(3,∞)
b)
(-∞,2]U[-2,3]
c)
(-∞,2)U(3,∞)
d)
[2,5]U[3,∞)
19.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
20.
What does the discriminant tell us?
a)
The maximum or minimum
b)
The y-intercept
c)
The number and type of solutions
d)
The axis of symmetry
21.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
22.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
23.
Which is a solution of
5(v + 3) - 10v > -10
5(v + 3) - 10v > -10
a)
v < 5
b)
v > 5
c)
v > -5
d)
v < -5
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