algebra 1 mathematics

Question 1 (Essay Worth 10 points)

(06.07 HC)

The table below shows the distance y, in miles, traveled by a toy car in x minutes:

Time (x) (minutes) 20 30 40 50 Distance (y) (miles) 5 10 15 20

Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance traveled by the toy car. (4 points) [Choose the value of correlation coefficient from 1, 0.8, 0.5, 0.02]

Part B: What is the value of the slope of the graph of distance versus time, and what does the slope represent? (3 points)

Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)

Question 2 (Essay Worth 10 points)

(07.09 MC)

Use the functions f(x) = 5x − 12 and g(x) = 11x + 2 to complete the function operations listed below.

Part A: Find (f + g)(x). Show your work. (3 points)

Part B: Find (f ⋅ g)(x). Show your work. (3 points)

Part C: Find f[g(x)]. Show your work. (4 points)

Question 3 (Essay Worth 10 points)

(08.01, 08.02, 08.03, 08.05, 08.06 MC)

Part A: Factor x2y2 + 6xy2 + 8y2. Show your work. (4 points)

Part B: Factor x2 + 8x + 16. Show your work. (3 points)

Part C: Factor x2 − 16. Show your work. (3 points)

Question 4 (Essay Worth 10 points)

(09.04 MC)

A quadratic equation is shown below:

3×2 − 16x + 2 = 0

Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points)

Part B: Solve 9×2 + 3x − 2 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)

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