Regents Exam Questions CC.A.REI.7: Quadratic-Linear Systems 6 www.jmap.org
Page 1
Name: __________________________________
CC.A.REI.7: Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y=–3x and the circle x 2 +y 2 =3.
1 What is the total number of points of intersection in the graphs of the equations
4)
and ? 6 Solve:
1) 1
2) 2
3) 3
4) 0
7 Solve:
2 The graphs of the equations and
are drawn on the same set of axes. What is the total number of points of intersection?
1) 1
2) 2
3) 3
4) 0
3 What is the total number of points of intersection of the graphs of the equations
and ?
1) 1
2) 2
3) 3
4) 4
4 The equations and are graphed on a set of axes. What is the solution of this system?
1)
2)
3)
4)
5 Which ordered pair is a solution of the system of equations shown below?
8 Solve:
9 a On the set of axes provided below, sketch a circle with a radius of 3 and center at and also sketch the graph of the line .
1)
2)
3) b What is the total number of points of intersection of the two graphs?

Regents Exam Questions CC.A.REI.7: Quadratic-Linear Systems 6 www.jmap.org
Page 2
Name: __________________________________
10 Solve the following system of equations algebraically or graphically:
11 On the set of axes below, solve the following system of equations graphically and state the coordinates of all points in the solution.
[The use of the accompanying grid is optional.]

Regents Exam Questions CC.A.REI.7: Quadratic-Linear Systems 6 www.jmap.org
1 ANS: 1
. (0,4)
REF: 060119a
2 ANS: 2
.
REF: 010920a
3 ANS: 2
and
REF: 080625a
4 ANS: 3
REF: 011312ge
5 ANS: 3
.
.

Regents Exam Questions CC.A.REI.7: Quadratic-Linear Systems 6 www.jmap.org
REF: 011302a2
6 ANS:
REF: 119409al
7 ANS:
REF: 089605al
8 ANS:
REF: 010015al
9 ANS: a)
REF: 010029a
10 ANS:
; b) 2
REF: 060439a
11 ANS:
. . .
REF: 081237ge