Lesson 1: Practice Problems

Problem 1

At the book sale, all books cost less than $5.

What is the most expensive a book could be?
Write an inequality to represent costs of books at the sale.
Draw a number line to represent the inequality.

Problem 2

Kiran started his homework before 7:00 p.m. and finished his homework after 8:00 p.m. Let $h$ represent the number of hours Kiran worked on his homework.

Decide if each statement it is definitely true, definitely not true, or possibly true. Explain your reasoning.

$h > 1$
$h > 2$
$h < 1$
$h < 2$

Problem 3

Here is an inequality: $- 3 x > 18$ .

List some values for that would make this inequality true.
How are the solutions to the inequality $- 3 x \geq 18$ different from the solutions to $- 3 x > 18$ ? Explain your reasoning.

Problem 4

Here is a polygon on a grid.

Draw a scaled copy of this polygon that has a perimeter of 30 units. What is the scale factor? Explain how you know.

An L shaped figure on a square grid. The polygon is composed of two shapes: a rectangle adjoined with a square so that the bottom horizontal base of the polygon is 2 units. The rectangle is 1 unit wide and 3 units in length. The square is 1 unit wide and 1 unit in length.