Name:______Class:______Date:______
ALGEBRA 1 ASSESSMENT REVIEW - Unit 2: Linear Functions 2.1 – 2.3
1. Determine which of the following sets are functions:
A. {(1, 1), (1, 2), (1, 3), (1, 4)} B. {(1, 1), (2, 1), (3, 1), (4, 1)}
C. {(1, 1), (2, 2), (3, 3), (4, 4)} D. {(1, 2), (3, 4), (4, 5), (5, 6)}
2. State the domain of the following function: {(1, 2), (3, 4), (5, 6), (7, 8)}
3. Using the ordered pairs {(–8, –6), (–5, 2), (–8, 1), (7, 3)} identify the mapping diagram that represents
the relation and determine whether the relation is a function.
4. Determine which of the following graphs represents a function?
A. B. C. D.
5. What is the domain of f(x) = 3x + 7?
6. State the range of the relation {(–2, 5), (0, –1), (–1, 4), (–1, 5)}
7. Evaluate f(x) = 2x + 3 for when x = 5
8. Determine the slope of the line that runs through the points (6, 2) and (4, –8).
9. Determine the slope of the line that runs through the points (8, –5) and (3, –5).
10. Describe the slope of each line as being positive, negative, zero, or no slope.
A. B. C. D.
11. The graph at the right shows the heat index versus relative humidity at a
temperature of 80°F. What is the slope of the line containing point T and
point U?
12. The foot of a ramp is 30 feet from the base of a building. The top of the ramp
is 2 feet above the ground on the side of the building. What is the slope of the
ramp?
13. Determine the coordinates of two points that make a slope of 25 ?
14. What is the slope of the line defined by the function f(x) = 2x + 6?
15. Given the linear equation y = -12 x – 3, determine the slope.
16. Write a function rule for the amount of money you earn mowing lawns at $15 per lawn.
Name:______Class:______Date:______
II. EMBEDDED ASSESSMENT: BRYCE CANYON HIKING (20 Points Total)
While on vacation, Jorge and Jackie traveled to Bryce Canyon National Park in Utah. They were impressed by the differing elevations at the viewpoints along the road. The graph below describes the elevations for several viewpoints
in terms of the time since they entered the park.
(6)1. The graph at the right represents 1. ______
a function E(t). Describe why the
graph represents a function. Identify ______
the domain and range of the function.
______
DOMAIN = { ______}
RANGE = { ______}
2. Is this data discrete or continuous data? Explain. (2)2. ______
______
While at Bryce Canyon National Park, Jorge and Jackie went hiking on the Under the Rim trail to Yellow Creek. The table below shows their progress down to Yellow Creek.
(4)3. Using the grid provided above, graph the points in the table.
(2)4. Find the slope for the data in the table. Interpret the slope as 4. ______
a rate of change, including units.
(3)5. One the descent, what was the elevation 18 minutes after 5. ______
Jorge and Jackie began? Justify your answer.
(3)6. On the descent, when were they at 7000 feet? Justify your answer. 6. ______