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Algebra L1-3 Quiz v3

Last updated over 2 years ago

6 questions

1

1

1

Question 3

3.

1

1

0

Question 1

1.

How many solutions does the equation
have?

no solutions

exactly one solution

at least two solutions (but finitely many)

infinitely many solutions

Question 2

2.

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?

Question 4

4.

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

4x-3=\frac{1}{3}(12x-9)

3(1+x)=3(x+1)

Question 5

5.

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?

10-5(0.3c)=2.25c

10+1.95(c-5)=2.25c

Question 6

6.

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.

9x+1=3x+1

\frac{3}{4}(x+4)=\frac{9}{12}(x-1)

8x=8x

10+(2.25-0.3)c=2.25(c-5)

10+1.95c=2.25c-0.3