Lesson 11: Practice Problems

Problem 1

Suppose you wanted to graph the equation $y = - 4 x - 1$ .

Describe the steps you would take to draw the graph.
How would you check that the graph you drew is correct?

Problem 2

Draw the following lines and then write an equation for each.

A coordinate plane with 5 and -5 noted on both x and y axis.

Slope is 0, $y$ -intercept is 5
Slope is 2, $y$ -intercept is $- 1$
Slope is $- 2$ , $y$ -intercept is 1
Slope is $\frac{- 1}{2}$ , $y$ -intercept is $- 1$

Problem 3

Write an equation for each line.

An x y axis with 4 lines: a red and blue horizontal line and a green and yellow vertical line.

Problem 4 From Unit 3 Lesson 7

A publisher wants to figure out how thick their new book will be. The book has a front cover and a back cover, each of which have a thickness of $\frac{1}{4}$ of an inch. They have a choice of which type of paper to print the book on.

Bond paper has a thickness of $\frac{1}{4}$ inch per one hundred pages. Write an equation for the width of the book, $y$ , if it has $x$ hundred pages, printed on bond paper.
Ledger paper has a thickness of $\frac{2}{5}$ inch per one hundred pages. Write an equation for the width of the book, $y$ , if it has $x$ hundred pages, printed on ledger paper.
If they instead chose front and back covers of thickness $\frac{1}{3}$ of an inch, how would this change the equations in the previous two parts?