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Algebra L1-3 Quiz v2

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Last updated over 2 years ago
6 questions
1
1
1
Question 3
3.

1
1
1
Question 1
1.

How many solutions does the equation
have?

Question 2
2.

Emmy is spending her summer helping manage a construction and excavation company. The company needs to purchase a lot of stone to redo gravel driveways for several customers (a common summer project for business and homeowners). She'd like to do everything in crushed stone, but at $65 per ton, it's too expensive. Pea stone is cheaper, and if she buys 80 tons of it, the quarry will give her a special price of $35 per ton. Given the total area of all the driveways, 80 tons of pea gravel will be a good portion of what she needs. To give her clients a good deal, she wants to target an average price of $50 per ton for the stone mixture. She wants to buy the special package of 80 tons of pea gravel and as much crushed stone as possible. If we let t be the number of tons of crushed stone, which equation best represents the situation?

What value for p makes the following equation true?


Question 4
4.

Which of the following equations are conditional equations, i.e., they have a finite, non-zero number of solutions.

Question 5
5.

A wireless cell service company offers two different data plans.

  • The first plan charges a flat monthly fee of $25, for which the user receives 2 GB of data. Beyond 2 GB, data usage is charged at $8 per GB.
  • The second plan charges $50 for the monthly fee. The user gets 4GB of data usage, after which they pay $5 per GB.
Let d represent the amount of data in GB that a person uses in a month. Select the equation that can be used to find the amount of data use for which the cost of the two plans would be equal.

Question 6
6.

7(3x-4)=22x+8
-\frac{2}{5}(5x-10)=\frac{-4x+4}{2}
\frac{17x}{13}+13=\frac{17}{13}x+\sqrt{121}
50+5(d-4)=25+8(d-2)
50+8(d-2)=25+5(d-4)
In the scenario above, for what ranges of data usage does it make sense to buy the first plan? (select all that apply)
A person uses d < 2 GB of data each month
A person uses 2\leq d<3 GB of data each month
A person uses 3\leq d <4 GB of data each month
A person uses 4\leq d <5 GB of data each month
A person uses 5\leq d <6 GB of data each month
A person uses 6\leq d <7 GB of data each month
A person uses 7\leq d <8 GB of data each month
A person uses d\geq 8 GB of data each month