# Lesson 2Pet SittersDevelop Understanding

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

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Solution:

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Solution:

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Solution:

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Solution:

## Set

### 5.

A theater wants to take in at least for the matinee. Children’s tickets cost each and adult tickets cost each. The theater can seat up to people. Find five combinations of children and adult tickets that will make the goal and not be more than people total.

### 6.

The Utah Jazz scored points in a recent game. The team scored some -point shots, -point shots, and many free throws worth -point each. Find five combinations of baskets that would add up to points. Clearly state how many of each type of shot was made during the game to produce the team’s score.

### 7.

Use as many of the following shapes in any combination that you need to in order to fill in as much of the by grid as you can. You may rotate or reflect a shape if it helps. Write your answer showing how many of each shape you used using the letters that identify the shape.

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

## Go

Graph each equation below; then determine if the point is a solution to the equation. Find a point other than that is a solution to the equation. Show this point on the graph.

### 11.

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

### 12.

 Term Value $n$ $f\left(n\right)$ $1$ $2$ $3$ $4$ $17$ $-7$

Equation:

### 13.

 Term Value $n$ $f\left(n\right)$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $10$ $11$ $12$ $13$ $17$ $-7$

Equation:

### 14.

 Term Value $n$ $f\left(n\right)$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $17$ $-7$

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?