Algebra 2 4-9 Independent Practice: Quadratic Systems

by Matthew Richardson

| 20 Questions1

10

Solve the system by substitution.

(1, 2) and (-2, 3)

(1, 2) and (2, 3)

(-1, 0) and (2, 3)

(-1, 0) and (-2, 3)

2

10

Solve the system by substitution.

(2, -1) and (2, 0)

(1, -1) and (2, 0)

(2, -1) and (-2, 0)

(1, -1) and (-2, 0)

3

10

Solve the system by substitution.

A

B

C

D

4

10

Solve the system by graphing. Zoom an pan your graph to establish an appropriate viewing window.

5

10

Solve the system by graphing. Zoom an pan your graph to establish an appropriate viewing window.

6

10

Compare and Contrast: How are solving systems of two linear equations or inequalities and solving systems of two quadratic equations or inequalities alike? How are they different?

7

10

Reasoning: How many points of intersection can the graphs of a linear function and a quadratic function have? Select all that apply.

infinitely many points of intersection

exactly two points of intersection

exactly one point of intersection

no points of intersection

exactly three points of intersection

8

5

Graphing: Graph a linear function and a quadratic function that have no points of intersection. Zoom and pan your graph to establish an appropriate viewing window.

9

5

Graphing: Graph a linear function and a quadratic function that have exactly 1 point of intersection. Zoom and pan your graph to establish an appropriate viewing window.

10

5

Graphing: Graph a linear function and a quadratic function that have exactly 2 points of intersection. Zoom and pan your graph to establish an appropriate viewing window.

11

10

Reasoning: How many points of intersection can the graphs of two quadratic functions have? Select all that apply.

infinitely many points of intersection

exactly two points of intersection

exactly one point of intersection

no points of intersection

exactly three points of intersection

12

5

Graphing: Graph two quadratic functions that have no points of intersection. Zoom and pan your graph to establish an appropriate viewing window.

13

5

Graphing: Graph two quadratic functions that have exactly one point of intersection. Zoom and pan your graph to establish an appropriate viewing window.

14

5

Graphing: Graph two quadratic functions that have infinitely many points of intersection. Zoom and pan your graph to establish an appropriate viewing window.

15

10

Reasoning: How many points of intersection can the graphs of two absolute value functions have? Select all that apply.

infinitely many points of intersection

exactly two points of intersection

exactly one point of intersection

no points of intersection

exactly three points of intersection

16

5

Graphing: Graph two absolute value functions that have no points of intersection. Zoom and pan your graph to establish an appropriate viewing window.

17

5

Graphing: Graph two absolute value functions that have exactly one point of intersection. Zoom and pan your graph to establish an appropriate viewing window.

18

5

Graphing: Graph two absolute value functions that have exactly two points of intersection. Zoom and pan your graph to establish an appropriate viewing window.

19

5

Graphing: Graph two absolute value functions that have infinitely many points of intersection. Zoom and pan your graph to establish an appropriate viewing window.

20

10

Reflection: Math Success

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