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.
Solve It! You want to spend no more than $40 for at most 15 tomato plants. You want to maximize the pounds of tomatoes you'll get.
5 points
5
Question 1
1.
The variables are the number of roma (x) and cherry tomato plants (y) you buy. Graph both of the inequalities on the same plane.
Zoom and pan your graph to establish a suitable viewing window.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
5 points
5
Question 2
2.
Use your graph to identify the combination of tomatoes that maximize the number of pounds that you can buy.
5 roma
2 cherry
10 cherry
10 roma
To maximize pounds
10 points
10
Question 3
3.
Problem 1 Got It? Use the constraints from Problem 1 with the objective function P = x + 3y. What values of x and y maximize P?
10 points
10
Question 4
4.
Problem 4 Got It? Graphing: Graph the constraints from Problem 1 to form the feasible region. Zoom and pan your graph to establish a suitable viewing window.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
10 points
10
Question 5
5.
Problem 2 Got It?
30 points
30
Question 6
6.
Graph the system of inequalities on the canvas below. Include relevant graph detail.
You may use the Desmos graphing calculator above to check your work. Shade each solution set using a different technique or color.
30 points
30
Question 7
7.
Graph the system of inequalities on the canvas below. Include relevant graph detail.
You may use the Desmos graphing calculator above to check your work. Shade each solution set using a different technique or color.
10 points
10
Question 8
8.
Graph the system of inequalities on the same coordinate plane.
Zoom and pan your graph to establish an appropriate viewing window.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
10 points
10
Question 9
9.
Graph the system of inequalities on the same coordinate plane.
Zoom and pan your graph to establish an appropriate viewing window.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
10 points
10
Question 10
10.
Graph the system of inequalities on the same coordinate plane.
Zoom and pan your graph to establish an appropriate viewing window.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
10 points
10
10 points
10
Question 12
12.
Compare and Contrast: What are some similarities between solving a linear programming problem and solving a system of linear inequalities? What are some differences?
10 points
10
Question 13
13.
Open-Ended: Graph a system of constraints whose graphs determine a trapezoid. Zoom and pan your graph to establish an appropraite viewing window.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
5 points
5
Question 14
14.
Review Lesson 3-3: Solve the system by graphing. Zoom and pan your graph to establish an appropriate viewing window.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
5 points
5
Question 15
15.
Review Lesson 3-3: Solve the system by graphing. Zoom and pan your graph to establish an appropriate viewing window.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
5 points
5
Question 16
16.
Review Lesson 3-3: Solve the system by graphing. Zoom and pan your graph to establish an appropriate viewing window.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
10 points
10
Question 17
17.
Review Lesson 1-3: Evaluate each expression for a = 3 and b = -5. Match each expression with its value.
2a + b
-4 + 2ab
3(a - b)
b(2b - a)
24
-34
1
65
10 points
10
Question 18
18.
Review Lesson 2-4: Find the x- and y-intercepts of the graph of each linear function.
y-intercept: (0, -1)
x-intercept: (-3 , 0)
y-intercept: (0, 6)
x-intercept: (18, 0)
y-intercept: (0, 4)
x-intercept: (1, 0)
y = 2x+ 6
2x + 9y = 36
y = x - 1
5 points
5
Question 19
19.
Vocabulary Review: Label each polygon with its number of vertices.
3
4
5
6
7
8
9
quadrilateral
pentagon
octagon
10 points
10
Question 20
20.
Vocabulary Review: Identify the coordinates of each vertex in the diagram.
(6, 4)
(2, 1)
(0, 0)
(1, 2)
(3, 5)
(4, -1)
(5, 3)
A
B
C
D
5 points
5
Question 21
21.
Use Your Vocabulary: Complete the statement with the correct from the list. Enter only the word.
constraint
constrain
constrained
Weight is one __?__ on vehicles allowed on the bridge.
5 points
5
Question 22
22.
Use Your Vocabulary: Complete the statement with the correct from the list. Enter only the word.
constraint
constrain
constrained
An injury can cause __?__ motion.
5 points
5
Question 23
23.
Use Your Vocabulary: Complete the statement with the correct from the list. Enter only the word.
constraint
constrain
constrained
The rules of the game __?__ how you play.
100 points
100
Question 24
24.
Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.
For a refresher on the Cornell note-taking system, click here.
