Regents Exam Questions CC.A.REI.4: Solving Quadratics 1
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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) {2,8}
3)
4)
5 The solution of the equation
1)
2)
3)
4)
2 If
1)
2)
3)
4)
6 What is the positive solution of the equation
?
, the roots of the equation are
and 25
, only
and 5
, only
is
7 Ryker is given the graph of the function
. He wants to find the zeros of the
function, but is unable to read them exactly
from the graph.
3 A student is asked to solve the equation
. The student's solution to
the problem starts as
A correct next step in the solution of the
problem is
1)
2)
3)
4)
4 What is the solution of the equation
?
1) 6, only
2) 2, only
3) 2 and
4) 6 and
Find the zeros in simplest radical form.
Regents Exam Questions CC.A.REI.4: Solving Quadratics 1
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1 ANS: 3
REF:
2 ANS:
3 ANS:
4 ANS:
010215a
3
1
3
REF: 081403ai
REF: 061521ai
REF: 061619ai
5 ANS: 3
6 ANS:
REF: 081523ai
3.
REF: 080733a
7 ANS:
REF: fall1306ai