Regents Exam Questions A2.A.4: Quadratic Inequalities 1
Page 1
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Name: __________________________________
A2.A.4: Quadratic Inequalities: Solve quadratic inequalities in one and two
variables, algebraically and graphically
1 The solution set of
1)
2)
3)
4)
is
2 What is the solution of the inequality
1)
2)
3)
4)
3 What is the solution set of the inequality
?
1)
2)
3)
4)
4 The solution set for the inequality
is
1)
2)
3)
4)
?
5 What is the solution set for
1)
2)
3)
4)
6 What is the solution of the inequality
?
1)
2)
3)
4)
?
7 What is the solution set of
1)
2)
3)
4)
?
8 What is the solution of the inequality
?
1)
2)
3)
4)
9 The solution set of the inequality
1)
2)
3)
4)
10 What is the solution set for the inequality
?
1)
2)
3)
4)
11 What is the solution set of the inequality
?
1)
2)
3)
4)
12 What is the solution set of the inequality
?
1)
2)
3)
4)
13 What is the solution set of the inequality
?
1)
2)
3)
4)
is
14 Solve for x:
15 Find the solution of the inequality
algebraically.
,
Regents Exam Questions A2.A.4: Quadratic Inequalities 1
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1 ANS: 1
2 ANS: 2
REF: 019833siii
or
REF: 061507a2
3 ANS: 4
CASE 1
AND
For the product of these binomials to be
CASE 2
negative, either:
1.
must be negative AND
AND
must be positive; or
2.
must be positive AND The answer is the second case,
The first case is not possible,
must be negative
as x cannot be both greater than 1 and less
than -5.
REF:
4 ANS:
5 ANS:
6 ANS:
080713b
3
1
2
REF: 010232siii
REF: 068930siii
CASE 1
AND
For the product of these binomials to be
CASE 2
negative, either:
1.
must be negative AND
AND
must be positive; or
2.
must be positive AND The answer is the first case,
The second case is not possible, as x
must be negative
cannot be both greater than 3 and less
than -2.
REF:
7 ANS:
8 ANS:
9 ANS:
010904b
1
2
3
REF: 019633siii
REF: 080018siii
Regents Exam Questions A2.A.4: Quadratic Inequalities 1
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10
11
12
13
14
REF:
ANS:
ANS:
ANS:
ANS:
ANS:
01115a2
1
3
2
1
.
REF: 061024b
15 ANS:
or
.
REF: 011228a2
REF:
REF:
REF:
REF:
089823siii
080233siii
010032siii
010430siii
.
.
or