Algebra L1-3 Quiz v3

By Sam Schneider
Last updated about 1 year ago
6 Questions

How many solutions does the equation
have?

NASA computer scientist Christine Darden needs to calibrate the controller for system that delivers a specific gas mixture for life support inside a space suit. The suit's main gas tank has compressed air that is 10% oxygen. And a smaller tank holds a special high-oxygen mixture that is 75% oxygen. When the helmet of suit is closed, the main tank releases 3 grams of air to mostly fill the suit. Let g be the number of grams of the high-oxygen gas that is added. What equation will help Christine find the right value for g if the final mixture should be 20% oxygen?

What value for w makes the following equation true?


Which of the following equations are identities (which have an infinite number of solutions)?

The local coffee shop offers a special"coffee club" deal. You pay $10 each week to get up to 5 free cups of coffee. After 5 cups, deal purchasers get a $0.30 discount on any additonal cups of coffee they buy. The normal price of a cup of coffee at the shop is $2.25. If we let c be the number of cups of coffee a person drinks in a week, which equation will help find the value for c when the cost is the same regardless of whether you buy the deal or pay the normal price?

In the scenario above, does it ever make sense to buy the deal? If so, under what conditions is it cheaper to purchase the deal? Explain your reasoning.