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Algebra 1 4-5 Writing a Function Rule
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4.5 (1 rating)
by Matthew Richardson
| 26 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
The outlined content above was added from outside of Formative.
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1
10 pts
Solve It! You and a friend are swimming 20 laps at the local pool. One lap is across the pool and back. You both swim at the same rate. Your friend started first. The trail of arrows shows how far he has already swum. What equation gives the distance you have swum as a function of the distance your friend has swum? Let y = your distance and x = your friend's distance.
y = 3x + 2
y = 3x - 1
y = x - 65
y = x + 65
2
10 pts
Solve It! How far have you swum when your friend finishes his 20 laps?
715 m
935 m
965 m
19 m
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3
10 pts
Problem 1 Got It?
A
B
C
D
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4
10 pts
Problem 2 Got It?
A
B
C
D
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5
5 pts
Problem 2 Got It?
A
B
6
10 pts
Problem 3 Got It? Write a function rule for the area of a triangle whose height is 4 in. more than twice the length of its base.
7
10 pts
Problem 3 Got It? What is the area of the triangle from the previous item when the length of its base is 16 in.?
225 inÂ²
356 inÂ²
288 inÂ²
256 inÂ²
8
10 pts
Problem 3 Got It? Reasoning: Graph the function rule from Problem 3 that is provided provided below. How do you know the rule is nonlinear?
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
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9
10 pts
A
B
C
D
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10
10 pts
A
B
C
D
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11
10 pts
A
B
C
D
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12
10 pts
A
B
C
D
13
5 pts
Vocabulary: Suppose you write an equation that gives a as a function of b. Which is the dependent variable?
a
b
14
10 pts
Error Analysis: A worker has dug 3 holes for fence posts. It will take 15 min to dig each additional hole. Your friend writes the rule t = 15n + 3 for the time t, in minutes, required to dig n additional holes. Describe and correct your friend's error.
15
5 pts
Reasoning: Is the graph of a function rule that relates a square's area to its side length continuous or discrete?
continuous
discrete
17
40 pts
Review Lesson 4-4: Graph the function rules on the same plane.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
18
10 pts
Review Lesson 2-6: Match equivalent amounts.
• 1.5 min
• 132 oz
• 9,500 m
• 51 ft
• 9 days
• 4.5 m
19
5 pts
Review Lesson 1-6: Find the product. Simplify if necessary.
Enter only a number.
20
5 pts
Review Lesson 1-6: Find the product. Simplify if necessary.
Enter only a number.
21
5 pts
Review Lesson 1-6: Find the product. Simplify if necessary.
Enter only a number.
22
5 pts
Review Lesson 1-6: Find the product. Simplify if necessary.
Enter only a number.
23
5 pts
Review Lesson 1-6: Find the product. Simplify if necessary.
Enter only an improper fraction.
24
10 pts
Vocabulary Review: In function notation, you read f(x) as "f of x." You can think of the value "f(x)" as another way of writing "y." Write how you would read h(g) aloud.
"g of h"
"g in h"
"h times g"
"h of g"
25
10 pts
Vocabulary Review: Label the equations based on whether or not they are written using function notation.
• f(x) = 2x + 1