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.
10 points
10
Question 1
1.
Solve It! The diagram shows the number of boxes of oranges that an orange tree can produce in 1 year. An orange grower earns $9.50 for each box of oranges that he sells. How much could the grower expect to earn in 1 year from 1 tree? Explain your reasoning.
5 points
5
Question 2
2.
Problem 1 Got It? Write a compound inequality that represents the phrase.
all real numbers that are greater than or equal to -4 and less than 6
10 points
10
Question 3
3.
Problem 1 Got It? Graph the compound inequality that represents the phrase.
all real numbers that are greater than or equal to -4 and less than 6
5 points
5
Question 4
4.
Problem 1 Got It? Write a compound inequality that represents the phrase.
all real numbers that are less than or equal to 2.5 or greater than 6
10 points
10
Question 5
5.
Problem 1 Got It? Graph the compound inequality that represents the phrase.
all real numbers that are less than or equal to 2.5 or greater than 6
10 points
10
Question 6
6.
Problem 1 Got It? What is the difference between "x is between -5 and 7" and "x is between -5 and 7, inclusive"?
10 points
10
Question 7
7.
Problem 2 Got It? What are the solutions of -2 < 3y - 4 < 14? Graph the solutions.
Remember to write the simplified compound inequality before graphing the solutions on the number line.
10 points
10
Question 8
8.
Problem 3 Got It? Reasoning: Suppose you scored 78, 78, and 79 on the first three tests. Is it possible for you to earn a B in the course? Explain.
Recall that in this scenario Bs represent grades of 84 - 86, inclusive.
Assume that 100 is the maximum grade that you can earn in the course.
10 points
10
Question 9
9.
Problem 4 Got It? What are the solutions of -2y + 7 < 1 or 4y + 3 ≤ -5? Graph the solutions.
Remember to write the simplified compound inequality before graphing the solutions on the number line.
10 points
10
Question 10
10.
Problem 5 Got It? How do you write (-2, 7] as an inequality?
10 points
10
Question 11
11.
Problem 5 Got It? What is the graph of (-2, 7]?
10 points
10
Question 12
12.
Problem 5 Got It? How do you write y > 7 in interval notation?
10 points
10
Question 13
13.
What compound inequality represents the phrase "all real numbers that are greater than or equal to 0 and less than 8"? Write the inequality and graph the solutions on the canvas.
10 points
10
Question 14
14.
What are the solutions of the compound inequality
Solve the inequality and graph the solutions on the canvas.
10 points
10
Question 15
15.
Your test scores in science are 83 and 87. What possible scores can you earn on your next test to have a test average between 85 and 90, inclusive?
10 points
10
Question 16
16.
Write the interval represented on the number line as an inequality.
10 points
10
Question 17
17.
Write the interval represented on the number line in interval notation.
2 points
2
Question 18
18.
Is this a compound inequality?
2 points
2
Question 19
19.
Is this a compound inequality?
2 points
2
Question 20
20.
Is this a compound inequality?
2 points
2
Question 21
21.
Is this a compound inequality?
10 points
10
10 points
10
Question 23
23.
Reasoning: What are the solutions of the inequalities as a compound inequality?
10 points
10
Question 24
24.
Reasoning: What are the solutions of the compound in equality in interval notation?
10 points
10
10 points
10
Question 26
26.
Review Lesson 3-5: Let A = {1, 3, 5, 7}, B = {4, 8, 12}, and let the universal set be U = {1, 2, 3, 4, 5, 6, 7, 8, 12, 15}.
Categorize the sets.
{}
{1, 5}
{1, 3, 5, 7}
{4, 12}
{2, 4, 6, 8, 12, 15}
{5}
Subset of A
Subset of B
A'
5 points
5
Question 27
27.
Review Lesson 3-5: Let A = {1, 3, 5, 7}, B = {4, 8, 12}, and let the universal set be U = {1, 2, 3, 4, 5, 6, 7, 8, 12, 15}.
Is B' a subset of A?
10 points
10
Question 28
28.
Review Lesson 3-5: Solve the inequality.
10 points
10
Question 29
29.
Review Lesson 1-5: Complete each statement with <, =, or >.
<
=
>
|3 - 7| __?__ 4
|-5| + 2 __?__ 6
|6 - 2.5| __?__ 3.3
10 points
10
Question 30
30.
Vocabulary Review: Categorize each math sentence as an inequality or an equation.
15 > -12
18 ≤ 35
5x = 15
9 > 3x
Inequality
Equation
5 points
5
Question 31
31.
Vocabulary Review: Match the inequality symbol to its description. Not all inequlaity symbols will be used.
>
<
≥
≤
greater than
less than or equal to
greater than or equal to
10 points
10
Question 32
32.
Use Your Vocabulary: Identify the inequalities that are NOT compoundinequalities. Select all that apply.
10 points
10
Question 33
33.
Use Your Vocabulary: Match each description on the left with the compound inequality it describes on the right.
all numbers less than 9 or greater than 5
all numbers less than 9 and greater than 5
all numbers less than 5 or greater than 9
all numbers less than 5 and greater than 9
10 points
10
Question 34
34.
Use Your Vocabulary: Which compound inequality from the previous item describes an empty set ?
100 points
100
Question 35
35.
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.
