University:
Carleton College
Course:
MATH 101 | Calculus with Problem Solving
Academic year:

2024
Views:

437

Pages:

6
Author:

AbrariHermoo

Algebra 2 Name________________________ Date_________________________ Simplify the expression. 2 2 1. 4𝑟 + 9𝑟 − 5𝑟 + 3𝑟 2. 5(𝑥 − 2𝑦) − 9(3 − 𝑦) Solve the equation. 3. 2(8 − 3𝑞) = 4𝑞 − 9 4. 4𝑥 3 +2=6 Identify the domain and range of the given relation and decide whether or not it is a function. 5. 7. 8. (-3, 1), (-1, 0), (2, 4) 6. Domain: Domain: Range: Range: Function: Function: Graph the relation. Then tell whether the relation is a function. x -2 -1 0 0 1 y -3 -1 1 3 5 Graph the following equation using a table of values. Equation: y = -x + 2 x y 9. Sketch something that IS a function. 10. Sketch something that is NOT a function. Tell whether the functions below are linear. If yes, list m and b. If no, explain why. 11. 12. 13. Evaluate the function below for the given value of x. 14. ; x=5 15. ; x=9 Solve the equations for y (if necessary) and then graph the function. 17. x = 4 18. y = -3 m = _______ b = _______ 20. m = _______ b = _______ ; x = -2 19. 2x – 3y = 6 b = _______ 21. m = _______ 16. m = ______ b = ______ 22. m = _______ b = _______ m = ______ b = ______ 23. You are saving money to buy a ticket package for the Tigers next season. The package costs $300. You have already saved $100 and you save $25 more each week. The function total amount s that you have saved after w weeks. models the a. What is a reasonable domain and range of the model? b. Graph the model s(w). c. What is the total amount you saved after 4 weeks? Find the slope of the line passing through the given points. Then tell whether the line rises, falls, is horizontal, or is vertical. 24. (0, 1), (2, 5) 25. (1, 3), (1, 6) 26. (-2, 6), (-4, 6) 27. The specifications of a ramp for a motorcycle daredevil to complete a jump state that the slope of the ramp must be no steeper than 1.0 and no less than 0.6. If the ramp is 30 feet long and 19 feet tall, does the ramp’s slope meet the specifications? Slope:____________ Legal?____________ Given the following equations, are the sets of lines parallel, perpendicular, or neither? 28. Line 1: 29. Line 1: 30. Line 1: Line 2: Line 2: Line 2: 31. A can of coke sitting on the counter is initially 36°F. After 20 minutes the can has warmed up to 50°F. Find the average rate of change in the temperature of the sample. Find the x- and y-intercepts of the given lines and then graph. 32. 33. x-int:__________ x-int:__________ y-int:__________ y-int:__________ 34. You need to save money to cover expenses for a vacation. You have $250 and you plan to save $20 per week. Write an equation that models the total amount of your savings if your vacation is x weeks away. Write an equation (in slope-intercept form) of the line with the given information. 35. m = 3 and b = -4 36. Passes through (-1, 1) and m = -2 37. Passes through (4, 7) and (3, 4). 38. Passes through (-5, -4) and (-7, 6). 39. Passes through (-2, 3) and is 40. Passes through (-1, -4) and is parallel to . 41. Passes through (6, -2) and is perpendicular to 42. Write an equation for the line shown in the graph. perpendicular to .

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