# Lesson 2 Pet Sitters Develop Understanding

Solve the following systems by graphing. Check the solution by evaluating both equations at the point of intersection.

### 1.

Solution:

### 2.

Solution:

### 3.

Solution:

### 4.

Solution:

### 5.

A theater wants to take in at least

### 6.

The Utah Jazz scored

### 7.

Use as many of the following shapes in any combination that you need to in order to fill in as much of the

Example combination: 3a, 5b, 10c, 2d, 6e

Graph each equation below; then determine if the point

### 8.

### 9.

### 10.

### 11.

The tables shown represent **different** arithmetic sequences. Fill in the missing numbers. Then write the explicit equation for each.

### 12.

Term | ||||
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Value |

Equation:

### 13.

Term | |||||||||||||
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Value |

Equation:

### 14.

Term | |||||||
---|---|---|---|---|---|---|---|

Value |

Equation:

### 15.

Each of the sequences in problems 12–14 begins and ends with the same number. Would the graph of each sequence represent the same line? Justify your thinking.

### 16.

If you graphed each of the sequences in problems 12–14 and made them continuous by connecting each point, where would they intersect?