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.