# Lesson 7 I Can See—Can’t You? Practice Understanding

### 1.

Rewrite each of the expressions by distributing and combining like terms.

#### a.

#### b.

#### c.

### 2.

What is true about each of the three expressions?

### 3.

Make another expression that is equivalent to the three above that initially looks different than they do.

### 4.

Rewrite each of the expressions by distributing and combining like terms.

#### a.

#### b.

#### c.

### 5.

What is true about each of the three expressions?

### 6.

Make another expression that is equivalent to the three above that initially looks different than they do.

### 7.

The tables show two different payment plans proposed for a new job that Erin is considering. The values for Option A fit a linear model, and the values for Option B fit an exponential model. Find the difference between each individual interval as indicated by the brackets on the side of the table.

### 8.

Compare the change between each pair of points in the linear model to the change between each pair of points in the exponential model. Describe your observations and conclusions.

### 9.

Find the average of the four differences for the exponential model. How does this average for the exponential model compare to the average difference for the linear model?

### 10.

Without using a graphing calculator, make a rough sketch on the same set of axes of what you think the linear model and the exponential model would look like.

### 11.

How did your observations from question 8 influence your sketch?

### 12.

Explain how a table of

Use your calculator and the slope formula to find the slope of the line that passes through the two points.