Topic 1 Test: Linear Relations and Functions. Name: Date: 1. When Antonio first joined the swim team, he swam the race in 8 minutes.
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1 Name: Date: 1. When Antonio first joined the swim team, he swam the race in 8 minutes. But now he can swim the race in that time. Henry swims the course in 4 minutes. Let T be the difference between Henry s current swim time and Antonio s current swim time. Which equation below correctly solves for T, in seconds? 2. U-Rent charges $20 per day and 10 cents per mile to rent a car. Atlas charges $30 per day and 5 cents a mile. If you were renting a car for one day, when would U- Rent be cheaper than Atlas? When driving less than 200 miles When driving more than 200 miles U-Rent is always cheaper than Atlas. U-Rent is never cheaper than Atlas. 3. What is the equation of the line with x-intercept of and y-intercept of?
2 4. The equation of a line is. What is the slope of this line? 5. The graph below shows Blair s distance from home on a six-hour train trip. During which of the following time intervals was her average speed, in miles per hour, the greatest? 6. Which of the following functions has its only zero at x = 4?
3 7. The table shows the distance in miles Victoria is away from her home at given times during one day. Victoria s average change in distance away from home between 10:00 a.m. and 11:00 a.m. is 0. Which statement is the best interpretation of her average change in distance during this time? Victoria stayed home all day. Victoria went home and stayed there from 10:00 a.m. to 11:00 a.m. Victoria could have stayed at the same location from 10:00 a.m. to 11:00 a.m. Victoria must have left her location shortly after 10:00 a.m. and returned to the same location before 11:00 a.m. 8. What is the value of if? 9. If the graph of the equation is translated up 6 units, what is the equation of the new line?
4 10. Which of the following is the graph of
5 11. Which is the graph of 12. What transformation would occur to the parent function, to arrive at the new equation, 2 units up and 3 units right 2 units up and 3 units left 2 units down 3 units left 2 units down 3 units right
6 13. What is the range of the equation? All real numbers less than or equal to -8 All real numbers less than or equal to 3 All real numbers greater than or equal to -8 All real numbers greater than or equal to In the grid below, the graph of the equation is transformed to create Which equation is best represented by the graph of.
7 15. The graph below shows Amy s distance from home on an afternoon hike. How many miles from home was Amy after hiking for 3 hours? It costs $4.50 per person for 2 people and $3.00 per person for 3 people to go on a horse carriage ride. Using c to represent the cost per person and n to represent the number of people, which equation models this relationship? cn = n = c c + n = n + 3n = If 2 less than the product of 3 and x is squared, the result is y. What is y in terms of x?
8 18. The graph of a function is shown. Which inequality represents the domain of the function? 19. Solve the equation for w.
9 20. What are the possible values of in? 21. A relation is graphed below. What is the domain of this relation? 22. If which statement represents a correct value of x?
10 23. What process was used to obtain the equation shown in Step 2? 24. Sonya and Alex shared their work on the equation as shown below. Which statement is true? Alex solved the equation correctly. Sonya solved the equation correctly. The only solution for the original equation is 5 Neither Alex nor Sonya solved the equation correctly.
11 25. Physicists use the formula shown below to determine total energy (E) of a body by using momentum (p), mass (m), and the speed of light (c). A physicist knows the speed of light, the mass of the body, and the total energy used by the body. Which formula could be used to determine the momentum of the body?
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