MATH CP Algebra I  - Unit 04: Inequalities and Measurements
Solving Multi-step Inequalities

1) When is a closed dot used and when is an open dot used in graphing inequalities?

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2) Solve the inequality, and then choose the correct graph for the solution.




3) Solve the inequality, and then choose the correct graph for the solution.




4) Solve the inequality, and then choose the correct graph for the solution.




5) Solve the inequality for y:  15 – 3y < y + 13 + y

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6) Activity: Interactive Practice Solving Linear Inequalities  
Navigate to the SAS Curriculum Pathways website provided below to practice solving inequalities. 

 

Answer the following questions based on the Interactive Practice.

Get Ready        Write the inequality for the following picture --> GIFTS UNDER $20
Learn 2 Which of the following are solutions to the inequality? Select all that apply
Learn 11 

Write an inequality for the verbal sentence.

Twenty-four is less than the difference of a number c and 7.

Click here to begin the activity. 


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Extra Practice:  Check with you instructor to see if s/he would like for you to do some extra practice problems.  Click here to view the practice worksheet.

Measurement

In the following problems, determine if the type of accuracy being used is exact, approximation, or estimation.

7) When finding the volume of the volleyball,  Erica used 3.14 in the formula. What type of measurement accuracy is used?



8) When determining how many yearbooks had been shipped given 10 boxes with 24 yearbooks in each box, the advisor multiplied 10 times 24.  What type of measurement accuracy is used?



9) When planning for her wedding, Courtney had 247 confirmed guests.  She planned that each guest would eat about 1 1/2 pieces of cake, so she ordered enough cake to serve 250 times 1.5.  What type of measurement accuracy is used?



Relative Error

10) In the floor plan shown in the content, the formal living/dining area covers an area of 28 feet by 14 feet.  List the steps to follow when calculating the Greatest Percent Error of the area.  Click here to work through this problem interactively, and then list the steps in the correct order.

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11) What is the greatest percent error for the area of the formal living/dining room area in the previous problem?




12) The measured dimensions of a rectangle are given to the nearest whole unit.  Find the greatest percent error.
 
Dimensions:  127 ft   ×    211 ft 




Measurement Conversions

13) Which of the following is a unit rate?




14) Two ants at a picnic spy a tasty crumb of watermelon on the ground.  Ant A travels at a rate of 300 meters per hour.  Ant B travels at a rate of 250 inches per minute.  Which conversion factor is correct to change Ant A to the same rate as Ant B?




15) Which ant will get the watermelon crumb because it was traveling at a faster rate?



16) To convert miles per hour to feet per second, which conversion factor would NOT be used?




17)

Erin visits an amusement park in the USA with her family.  Erin is from London, England, where the metric system is used for measurement. She wants to ride the 300-foot-tall swing ride.  She notices the height requirement is 52 inches.  Erin’s height is 1.25 meters.  Determine the missing numbers in the conversion steps provided below to calculate the required minimum height in meters.  State the letter, and then the answer for the missing information in each part.

(Hint:  Use a search engine to find conversion factor for meters to feet, if necessary.)


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18) Perform the calculations in the previous problem.  State the required height (52 inches) in meters, and then state whether Erin is tall enough to be permitted to ride the thrilling ride.

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Review

19) What property of addition does this statement illustrate?  8y = 0 + 8y
 
Click here to review the unit content explanation for Expressions, Variables, and Properties.




20) Explain why the set of integers {... –3, –2, –1, 0, 1, 2, 3 ...} is NOT "closed" for division.
 
Click here to review the unit content explanation for Expressions, Variables, and Properties.

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21) Evaluate.
 
Click here to review the unit content explanation for Expressions, Variables, and Properties.

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22)

Translate the following phrase into an algebraic expression:  "twice the quantity of a number and 3."
 
Click here to review the unit content explanation for Expressions, Variables, and Properties.


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23) Apply the distributive property to simplify:  5(y + 1) + 2 – 2y + 11
 
Click here to review the unit content explanation for Expressions, Equations, and Inequalities.

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