Regents Exam Questions CC.A.REI.4: Solving Quadratics 3
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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
6 What are the roots of the equation
?
1) 1 and
2) 2 and 3
3)
and 6
4)
and
1 The larger root of the equation
is
1)
2)
3) 3
4) 4
2 The roots of the equation
1)
and 2
2)
and 2
3) 0 and
4) 0 and 4
3 The roots of the equation
1) 0 and 9
2) 0 and
3) 0 and 3
4) 0 and
4 What are the roots of the equation
?
1) 1 and 21
2)
3) 3 and 7
4)
5 What are the roots of the equation
?
1) 1 and 7
2)
and 7
3)
and
4) 1 and 6
are
are
7 The roots of the equation
1)
and
2)
and 8
3) 6 and
4) 6 and 8
are
8 If the roots of a quadratic equation are
3, the equation can be written as
1)
2)
3)
4)
and
9 If the roots of a quadratic equation are
2, the equation is equivalent to
1)
2)
3)
4)
and
10 Which equation has roots of
1)
2)
3)
4)
and 5?
Regents Exam Questions CC.A.REI.4: Solving Quadratics 3
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11 One of the roots of the equation
is 3. What is the other root?
1) 15
2) 6
3)
4)
12 Find the roots of the equation
algebraically.
13 Find the roots of the equation
algebraically.
14 Form the quadratic equation whose roots are
and .
15 The two roots of an equation are
Form the equation.
and
.
16 Write a quadratic equation in standard form
that has roots of
and 2.
Regents Exam Questions CC.A.REI.4: Solving Quadratics 3
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1 ANS: 3
The two roots are
REF: 069909a
2 ANS: 4
REF: 011427ia
3 ANS: 1
REF: 011223ia
4 ANS: 3
REF: 010914ia
5 ANS: 4
REF: 060902ia
6 ANS: 2
REF: 081120ia
7 ANS: 4
REF: 011320ia
and 3. The larger root is 3.
Regents Exam Questions CC.A.REI.4: Solving Quadratics 3
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8 ANS: 2
9 ANS: 1
10 ANS: 2
REF: 011128ia
11 ANS: 3
REF: 080622a
12 ANS:
REF: 081036ia
13 ANS:
.
REF: 011034ia
14 ANS:
REF: 019012al
15 ANS:
REF: 119207al
16 ANS:
REF: 061533ia
REF: 061326ia
REF: 081420ia