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Algebra 1 Final Name: Madison
1) Graph: y =
4
x – 3
2
) Graph: x2 +
6
x +
8
= y
3) Solve for x. 22 + 23x <= 97 + 21x
4) Solve for x.
12
.13x – 13x >= 133.05 +13x
5) Multiply (x + 3) (x – 7)
6) Multiply (x – 6) (x + 6)
7) Factor 2×2 + 2x – 12 = y
8) Factor and find the roots. 0 = x2 + 7x + 12
9) Solve. 2x + 4 = 5x -7
10
) Solve. 4x + 2x – 5 – 5x = 3x – 4
11) The data set below contains the global estimate of cumulative cancer cases worldwide. Would you model the data with a (a) linear or a (b) quadratic function? You may want to plot the data in the space below for your reference.
|
Years since 1980 |
Cancer (in millions) |
| 2 |
10.7 |
| 4 |
12.7 |
| 6 |
15.0 |
| 8 |
17.5 |
| 10 |
20.5 |
| 12 |
23.9 |
|
14 |
27.9 |
|
16 |
32.6 |
|
18 |
38.5 |
Use the graph below to answer questions 12 – 14. The scatter-plot below shows the overall rating
by Consumer Reports for a random sample of ten brands of cereal versus the total grams of all sugars in the single serving.
12) Which cereal has the highest overall rating? Lowest rating?
13) Which cereal contains the most sugars? The least sugar?
14) Cereal Z has 10 total grams of sugar. What is the best estimate of its overall rating.
Analyze the graph by providing the following information for questions 15-19.
15) Domain
16) Range
17) Maximum value
18) Minimum value
19) zero(s) or root(s)
Use the following scenario to answer questions 20-25. A company’s profits are described by the equation y = -x2 + 8x + 20, where x is how much product (in millions) they sell, and y is their profit (in thousands).
20) What are the solutions if 0 = -x2 + 8x + 20?
21) By what other name could you call those solutions?
22) Describe what is happening in the problem?
23) Find the vertex of the parabola.
24) What does the vertex mean in the context of the problem?
25) The company needs to earn at least a $42,000 profit this fiscal year. How much product will they need to sell to reach that goal?
26) John’s yearly salary is $48,000. He will have to pay 24% in taxes this year, how much will John pay in taxes? (show your equation)
27) My insurance covers 80% of my medical bills plus a $35 co-pay. I went to the doctor today and the visit costs $738, how much do I owe?
28) John’s yearly salary is $78,987. He will have to pay 18% in taxes this year and 8% in health insurance, how much would John pay in taxes and health insurance together? (show your equation).
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