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18.1/18.2 Systems of Inequalities CW

Last updated almost 5 years ago
16 questions
1

Graph the following system of inequalities.




Please do one of the following:
  • Draw your own graph
  • Download a BLANK graph from Google and insert

1

Graph the following system of inequalities.




Please do one of the following:
  • Draw your own graph
  • Download a BLANK graph from Google and insert

1

Graph the following system of inequalities.




Please do one of the following:
  • Draw your own graph
  • Download a BLANK graph from Google and insert

1

Graph the following system of inequalities.




Please do one of the following:
  • Draw your own graph
  • Download a BLANK graph from Google and insert

1

Suppose you buy flour and cornmeal in bulk to make flour tortillas and corn tortillas. Flour costs
$1.50 per pound and cornmeal costs $2.50 per pound. You want to spend less than $25 on flour
and cornmeal, but you need at least 6 pounds altogether.

A. Write then graph a system of linear inequalities.

[When typing your inequalities, separate using a semi-colon. THEN graph on the show your work part]

1

Suppose you buy flour and cornmeal in bulk to make flour tortillas and corn tortillas. Flour costs
$1.50 per pound and cornmeal costs $2.50 per pound. You want to spend less than $25 on flour
and cornmeal, but you need at least 6 pounds altogether.

B. Write one possible solution for this problem.

1

Suppose you buy flour and cornmeal in bulk to make flour tortillas and corn tortillas. Flour costs
$1.50 per pound and cornmeal costs $2.50 per pound. You want to spend less than $25 on flour
and cornmeal, but you need at least 6 pounds altogether.

C. Give an ordered pair from the solution area that does not make sense in the context of the problem. Explain why the ordered pair does not make sense.

1

Mary knits scarves and sweaters to sell. Scarves take 2 hours to knit and sweaters take 10 hours.
Mary would like to spend no more than 40 hours per week knitting and knit at least 5 items per week.

A. Write then graph a system of linear inequalities.

[When typing your inequalities, separate using a semi-colon. THEN graph on the show your work part]

1

Mary knits scarves and sweaters to sell. Scarves take 2 hours to knit and sweaters take 10 hours.
Mary would like to spend no more than 40 hours per week knitting and knit at least 5 items per week.

B. Write two possible solution for this problem.

1

Write a system of inequalities whose solution is shown by the overlapping regions in the graph below.
When typing your inequalities, separate using a semi-colon.

1

Critique the reasoning of others. A student was asked to solve the system y ≥ 12x + 4 and x + 4y ≤ −20. She made the graph shown below. She noticed that the two shaded regions do not overlap, so she concluded that the system of inequalities has no solution. Do you agree or disagree? Justify your reasoning.

1

Which system of inequalities represents all of the points in the second quadrant?

1

The graph shows the solution of a system of inequalities. Which statement is true?

1

Create and graph a system of inequalities that has no solution.

When typing your inequalities, separate using a semi-colon.

1

Explain why graphing is the preferred method of representing the solutions of a system of linear inequalities.

1

Hunter is shopping for pencils. He has $5.00 from his allowance and he finds the pencils he wants cost $0.65 each. What is a reasonable domain for the number of pencils he can buy?