Name______Date______Period ______Algebra 1 Week 12 DCA Review
1. Using the graph, write the ordered pairs, a mapping, a table, and the equation for this relation?
What is the domain and range?
2. What is the domain and range of the function shown on the graph below?
3. Give the domain and range of the relation.
4. Give the domain and range of the relation.
5. The graph below represents the motion of a car over four seconds. What is the approximate domain and range of the graph?
6. Kendall determined the outdoor temperatures every 4 hours for a 24-hour period, and recorded them in the graph below. What is the approximate range of the graph?
7. Which function rule best describes the table below?
A
B
C
D
8. In many parades, flowers are used to decorate
the floats. The table below shows the number
of flowers used in each row of a parade float.
Row Number, r / Number of Flowers, n1 / 54
2 / 58
3 / 62
4 / 66
Which equation best describes these data?
A n = 2r + 52 B n = r + 54
C n = 4r + 50 D n = 4r + 54
9. Find the 19th term of the following arithmetic sequence.
3, 8, 13, ...
Record your answer and fill in the bubbles on the grid below.
10. A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0.5 centimeters per day. Write a function rule that describes the height (h) after (d) days.
11. The Watson family joined a video club. They paid a $25 registration fee and can now rent videos for $1.50 each. Let v represent the number of videos rented and c represent the cost. Then write a rule in function notation for the situation described.
12. At a salon, Sue rents a manicure station. Her rent (r) depends on the number of manicures (m) she gives. Use the graph below to write a rule for this function.
13. What is the linear parent function?
14. Which of the following cannot describe a linear function?
A Jeremy works as a waiter at the Cheesecake Factory. He makes $7.25 an hour plus tips.
B Xavier sells cars. He makes $756 plus 15% of the sales price of each car he sells as commission.
C Maria babysits at night. She charges $85 a night no matter how many kids she is watching or how long she babysits.
D Sally works at Payless Shoe Store. She makes $7.75 an hour.
15. Draw a graph that illustrates the story. Label the parts of the graph.
Josie rides a school bus home. The bus is traveling at a constant speed before it makes a stop at a stop sign. The bus then starts again this time traveling at a faster constant speed then stopping to let Josie off at her house.
Joey is doing drills on the football field to practice for Friday’s game. The graph below shows Joey’s distance from the goal line at four intervals in time. Use the graph to answer the questions #16 – 20.
16. What time period is represented by the section of the graph
between points B and C?
17. What time period is represented by the section of the graph between points C and D?
18. Did Joey spend more time going away from the goal or towards the goal? How much more time?
19. What could Joey have been doing between points B and C?
20. What is the rate of change between points A and B? What does it mean?
21. What is the slope of a line through (1, 6) and (-2, 8)?
22. What is the slope of a line through (1, -2) and (4, 1)?
23. The line segment on the graph shows the altitude of a landing airplane from the time its wheels are lowered to the time it touches the ground. What is represented by the slope in this equation?
24. The graph below shows the cost of membership at Fabulously Fit. What is represented by the slope in this equation?
25. Compare rate of change of linear functions below.
I II III IV
26. The school sells pens for $2.00 and notebooks for $3.00. The equation 2x + 3y = 60 describes the number of pens x and notebooks y that you can buy for $60. What does the x-intercept represent in this situation? What does the y-intercept represent in this situation?
27. When Steve jogs he burns 11.3 calories per minute, and when he walks he burns 7.3 calories per minute. Steve came up with the equation , where x is the minutes he jogs and y is the minutes he walks, to find the combinations of walking and jogging he would need to burn 500 calories. What is the meaning of the x-intercept? What is the meaning of the y-intercept?
28. At a fair, hamburgers sell for $3.00 each and hot dogs sell for $1.50 each. The equation 3x + 1.5y = 30 describes the number of hamburgers and hot dogs a family can buy with $30. Graph this function. What are the intercepts and what do they mean?