Review: Two Variable Inequalities-Graphs and Word Problems

Which of the following equations match the given graph?

• y ≥ 2/5x + 1
• y ≥ -2/5x + 1
• y≤  2/5x + 1
• y ≥ -2/5x - 1

Tags

CCSS.HSA.REI.D.12

Select the correct graph for each inequality.

• A
• B
• C
• D

Tags

CCSS.HSA.REI.D.12

Is (0, 0) a solution to this inequality?

• Yes
• No

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

In order to make some extra money, Justin is mowing lawns.  He charges $11 to mow a small lawn and $26 to mow a large lawn.  He would like to make at least $130.
Write an inequality that describes the situation.
Let x = # of small lawns mowed
Let y = # of large lawns mowed

• 11x + 26y ≥ 130
• 11x + 26y ≤ 130
• 11x + 26y > 130
• 11x + 26y < 130

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Janel bought three apples and two oranges. The total amount she paid was at most $123. If x represents the number of apples and y the number of oranges, which of the following mathematical statements represents the given situation?

•  $3x\ +\ 2y\ \ge\ 123$  

•  $3x\ +\ 2y\le\ 123$  

•  $3x\ +\ 2y\ >\ 123$  

•  $3x\ +\ 2y\ <\ 123$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

You have relatives living in both the United States and Mexico. You are given a prepaid phone card worth $50. Calls within the continental United States cost $.16 per minute and calls to Mexico cost $.44 per minute.

• $0.16x\ +\ 0.44y\ \le\ 50$

• $0.16x\ +\ 0.44y\ <\ 50$

• $0.16x\ +\ 0.44y\ \ge\ 50$

• $0.16x\ +\ 0.44y\ >\ 50$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12