Activities

1. Determine if the value b = 5 makes the following statement true.  6b = 24

2. Determine if the value a = 47 makes the following statement true. 74 + a = 121

3. Determine if the value n = 5 makes the following statement true.  2n > 10

4. The maximum number of players on a hockey team is 17.  The inequality p ≤ 17 represents that.  Identify the values that would satisfy the inequality from this list (16, 18, 12, 17, 20, and 21).

5. Write an equation that b = can be substituted in to make it true.

6. Last week Doug work 47 hours over 5 days. He said that he worked more than 8 hours each day. Use the expression to see if he is correct.  Explain.

7. Tara went to the store and spent $45 dollars on boots.  Now she only has $32 left in her wallet. She said that she started out with $75 dollars in her wallet.  Let n equal the amount of money that she started with. Use the expression n – 45 = 32 to see if she is correct.

8. The table shows the cost of bananas based on the number of pounds purchased.

a. Write an expression to represent the cost of p pounds of bananas.

b. Sam has $1.15 in her pocket and needs to buy 2 pounds of bananas.  Does she have enough money? Explain

9. A family is taking a flight for their vacation.  The airline allows each family up to 150 pounds of luggage on a flight.   The family is taking a baby crib, which weighs 45 lbs.  Each of the 3 remaining bags weighs 36 pounds each.   If x equals the weight for each of the remaining bags, use the following inequality to determine if they are within their limit. If they are, how much more could they put in?  If they are over the limit the airline charges $5 per pound, how much additional would the family need to pay for their luggage?  Show or explain your work.

3x + 45 ≤ 150

Answer Key/Rubric

1. No, the correct answer is b = 4

2. Yes a = 47

3. No

When 5 is substituted in, it will equal 10 not be greater than 10

Values that would be correct would be n > 5

4. Answers from the given list that are correct are 16, 12, and 17.

5. Answers will vary.

• Any equation that can substitute b= and be correct.
• Possible examples may include, but are not limited to:

• 4b = 2
• 3 + b = 4

6. Yes Doug is correct.

        Possible explanations may include, but are not limited to:

• 
• He worked 9.4 hours each day.
• 9.4 > 8

7. Tara is incorrect.

• She must have had $77.   
• 75 – 45 = 30 not 32
• 77 – 45 = 32

8. Answers as follows:

a. 0.49p

Each pound of bananas cost $0.49

b. Yes, Sam has enough money.

Explanation may include, but is not limited to:

• You had to divide the given values to find the cost for one pound
• Cost = 0.49(pounds)
• Substitute in the number of pounds she wants to buy:
• 0.49(2) = $0.98
• She has $1.15 and that is more than $0.98

9. Family is over the limit; Additional charge of $15

        Acceptable work/explanation may include, but is not limited to:

• Students will substitute 36 into the inequality to see if it is true or false

3x + 45 ≤ 150

3(36) + 45 ≤ 150

108 + 45 ≤ 150

153 ≤ 150 

• The inequality is not true when solved, therefore the family is over the maximum weight limit allowed.  Now they will have to pay the penalty for extra weight.
• 153 – 150 = 3 pounds over
• $5(3) = $15 extra paid for the overweight luggage.