GSE Algebra I
Unit 2 Reasoning with Linear Equations & Inequalities
Practice
Name _____________________________________________________Date _____________________
Writing and Graphing Linear Inequalities
Mr. Crawford is ordering pizzas and breadsticks for a school pizza party and has a budget of $81, but no more.
An order of breadsticks costs $7 and a pepperoni pizza costs $13.
1. Write an inequality that represents the above situation.
2. Graph the inequality. Label the x-axis and the y-axis as well as the scale of the graph.
3. a. Why does the graph only fall in the 1st Quadrant?
b. Is it acceptable to spend exactly $81? What are some
possible combinations of outcomes that equal exactly $81?
Where do all the outcomes that total $81 lie on the graph?
c.
Is it acceptable to spend more than $81? What are some possible combinations of
outcomes that total more than $81? Where do all of these outcomes fall on the graph?
A landscaping business is purchasing plants from a nursery to finish a project. It will cost $14 each to buy
each tree and $5 each to buy each bush. The landscaper wishes to keep the spending under $1,000.
4. Write an inequality that represents the above situation.
5. Graph the inequality. Label the x-axis and the y-axis as well as the scale of the graph.
GSE Algebra I
Unit 2 Reasoning with Linear Equations & Inequalities
Practice
6. a. Why does the graph only fall in the 1st Quadrant?
b. Is it acceptable to spend exactly $1000? What are some possible combinations of outcomes that
equal exactly $1000? Where do all the outcomes that total $1000 lie on the graph?
c.
Is it acceptable to spend more than $1000? What are some possible combinations of outcomes
that total more than $1000? Where do these outcomes fall on the graph?
Summarize your knowledge of graphing inequalities in two variables by answering the following
questions in sentence form:
7. Explain the difference between a solid line and a broken line when graphing inequalities. How can
you determine from the model whether the line will be solid or broken? How can you look at the
graph and know if the line is part of the solution?
8. How do you determine which area of the graph of an inequality to shade? What is special about
the shaded area of an inequality? What is special about the area that is not shaded?