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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.

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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 minAnswer by dragging items here
- 132 ozAnswer by dragging items here
- 9,500 mAnswer by dragging items here
- 51 ftAnswer by dragging items here
- 9 daysAnswer by dragging items here
- 4.5 mAnswer by dragging items here

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 + 1Answer by dragging items here
- xy = fAnswer by dragging items here
- f(x) = 1 - xAnswer by dragging items here
- y = 8fAnswer by dragging items here

26

10 pts

Reflection: Math Success

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