Name Date Class
Problem Solving
Introduction to Functions
Write the correct answer.
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1-65 Holt McDougal Algebra 1
Name Date Class
1. The number of teachers at a university is the number of students. Write a rule for the number of teachers at the university.
3. The starting salary for a new teacher in
a certain school district is $29,000 plus $2100 for each year of previous
teaching experience. Write a rule for the starting salary of a teacher in this
school district.
2. Use the rule in problem 1 to write
ordered pairs for the number of
teachers when there are 1230, 1500, 3045, and 4515 students.
4. Use the rule in problem 3 to write
ordered pairs for the starting salaries of
teachers with 0, 3, 5, and 10 years of
teaching experience.
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1-65 Holt McDougal Algebra 1
Name Date Class
A class officer will buy picture frames as favors for the prom.
To ensure she has enough frames, she plans to buy frames
for the 18 teacher chaperones plus 1.2 times the number of
students who buy tickets to the prom.
Select the best answer.
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1-1 Holt McDougal Algebra 1
Name Date Class
5. Which rule represents the number of
frames the class officer will buy?
A y = 19.2 + x
B y = 19.2x
C y = 18x + 1.2
D y = 18 + 1.2x
7. Since both the number of students who
buy tickets and the number of frames
the class officer will buy cannot be negative, which quadrant will the
ordered pairs that satisfy the rule in problem 5 lie in?
A Quadrant I C Quadrant III
B Quadrant II D Quadrant IV
6. How many picture frames will the
class officer buy if 225 students buy
tickets to the prom?
F 244 H 270
G 252 J 288
8. If the class officer generates and graphs
ordered pairs for the rule in problem 5,
which statement would be true?
F The points would form a line.
G The points would form a U-shape.
H The points would form a V-shape.
J There will be no pattern.
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1-1 Holt McDougal Algebra 1
Name Date Class
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
1-1 Holt McDougal Algebra 1
4–9.
10.
Input / Output / Ordered Pairx / y / (x, y)
-2 / (-2)2 - 1
4 - 1
3 / (-2, 3)
-1 / (-1)2 - 1
1 - 1
0 / (-1, 0)
0 / (0)2 - 1
0 - 1
-1 / (0, -1)
1 / (1)2 - 1
1 - 1
0 / (1, 0)
2 / (2)2 - 1
4 - 1
3 / (2, 3)
The points form a U-shape.
Challenge
1. y = 150 + 5x
2. (0, 150), (10, 200), (20, 250), (50, 400); the points form a straight line.
3. y = 10x
4. sample ordered pairs: (0, 0), (10, 100), (20, 200), (50, 500); the points form a straight line.
5. when the line for income is above the line for cost
6. when the line for income is below the line for cost
7. a loss of $100
8. a profit of $50
9. 30 dolls
Problem Solving
1. y = x
2. (1230, 82), (1500, 100);
(3045, 203), (4515, 301)
3. y = 29,000 + 2100x
4. (0, 29,000), (3, 35,300);
(5, 39,500), (10, 50,000)
5. D 6. J
7. A 8. F
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A12 Holt McDougal Algebra 1