Regents Exam Questions A.REI.C.7: Quadratic-Linear Systems 5bPage 1

Name: ______

1The graphs of the equations and are drawn on the same set of axes. One solution of this system is

1) /
2) /
3) /
4) /

2What is the total number of points of intersection in the graphs of the equations and ?

3The graphs of the equations and are drawn on the same set of axes. What is the total number of points of intersection?

4What is the total number of points of intersection of the graphs of the equations and ?

5Consider the system shown below.

The two solutions of the system can be described as

1) / both imaginary
2) / both irrational
3) / both rational
4) / one rational and one irrational

6The equations and are graphed on a set of axes. What is the solution of this system?

7Which ordered pair is a solution of the system of equations shown below?

8What is the solution to the system of equations and where is defined by the function below?

9Algebraically determine the values of x that satisfy the system of equations below.

10Solve the following systems of equations algebraically:

11Solve:

12Solve:

13Solve:

14Solve the system of equations shown below algebraically.

15On 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 .

What is the total number of points of intersection of the two graphs?

16Solve the following system of equations algebraically or graphically:

[The use of the accompanying grid is optional.]

17On the set of axes below, solve the following system of equations graphically and state the coordinates of all points in the solution.

Regents Exam Questions A.REI.C.7: Quadratic-Linear Systems 5b

1ANS:2

REF:061801aii

2ANS:

1

. (0,4)

REF:060119a

3ANS:

2

.

REF:010920a

4ANS:

2

. and

REF:080625a

5ANS:1

REF:081719aii

6ANS:

REF:011312geSTA:G.G.70

7ANS:

.

REF:011302a2STA:A2.A.3

8ANS:

REF:011705aii

9ANS:

REF:fall1507aii

10ANS:

. .

REF:061139a2STA:A2.A.3

11ANS:

REF:119409al

12ANS:

REF:089605al

13ANS:

REF:010015al

14ANS:

REF:061633aii

15ANS:

a) ; b) 2

REF:010029a

16ANS:

. . .

REF:060439a

17ANS:

REF:081237geSTA:G.G.70