Regents Exam Questions CC.A.REI.4: Solving Quadratics 2
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Name: __________________________________
CC.A.REI.4: Solving Quadratics: Solve quadratic equations in one variable. a. Use
the method of completing the square to transform any quadratic equation in x into
an equation of the form (x – p)2 = q that has the same solutions. Derive the
quadratic formula from this form. b. Solve quadratic equations by inspection (e.g.,
for x2 = 49), taking square roots, completing the square, the quadratic formula and
factoring, as appropriate to the initial form of the equation. Recognize when the
quadratic formula gives complex solutions and write them as a ± bi for real
numbers a and b
1 What is the solution set of the equation
?
1)
2)
3)
4)
2 The solution to the equation
1) 0, only
2) 6, only
3) 0 and 6
4)
5 What is the solution set of the equation
?
1)
2)
3)
4)
6 What is the solution set for the equation
?
1)
2)
3)
4)
is
3 The solution set for the equation
is
1)
2)
3)
4)
4 What is the solution set of
1)
2)
3)
4)
7 What is the solution set of the equation
?
1)
2)
3)
4)
?
8 The solution set of the equation
is
1)
2)
3)
4)
Regents Exam Questions CC.A.REI.4: Solving Quadratics 2
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Name: __________________________________
9 The solution set for the equation
1)
2)
3)
4)
10 The solutions of
1)
and
2) 2 and 14
3)
and
4) 4 and 7
is
13 Solve for x:
14 Solve for x:
are
15 Solve for x:
16 Solve the equation
for x.
11 Which equation has the solution set
1)
2)
3)
4)
12 For which equation is the solution set
1)
2)
3)
4)
algebraically
?
17 Solve:
?
18 Solve the equation for y:
19 Write an equation that defines
trinomial where
Solve for x when
.
as a
.
Regents Exam Questions CC.A.REI.4: Solving Quadratics 2
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1 ANS: 2
REF: 010727a
2 ANS: 3
REF: 080921ia
3 ANS: 2
REF: 080012a
4 ANS: 1
REF: 080118a
5 ANS: 1
REF: 060313a
6 ANS: 4
REF: 010520a
7 ANS: 2
Regents Exam Questions CC.A.REI.4: Solving Quadratics 2
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REF: 060514a
8 ANS: 3
REF: 060725a
9 ANS: 3
REF: 080525a
10 ANS: 2
REF: 061311ia
11 ANS: 1
REF: 010913a
12 ANS: 1
REF: 080825a
13 ANS:
Regents Exam Questions CC.A.REI.4: Solving Quadratics 2
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and 5.
REF: 089926a
14 ANS:
.
REF: 060229a
15 ANS:
.
REF: 010637a
16 ANS:
REF: 011529ai
17 ANS:
1, 5
REF: 069109al
18 ANS:
REF: 011627ai
19 ANS:
REF: 061433ai