1.3 Solving Absolute Value Equations (Due 10/4/24)
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Last updated 12 months ago
60 questions
Learning Target:How can we solve absolute value equations, and what do the solutions represent in different contexts?
Essential Question:Students will be able to solve absolute value equations and identify when they result in one solution, two solutions, or no solution, and represent these solutions on a number line.
Show your work for credit.
Day 1 10/5/23
Absolute Value
Required
8 points
8
Question 1
1.
Vocabulary Review: Mark each statement as True or False.
False
True
To indicate the absolute value of -8, you write |-8|.
The absolute value of -8 is -8, since -8 is 8 units from 0 on the number line.
The absolute value of -8 is 8, since -8 is 8 units from 0 on the number line.
According to the definition of absolute value, if |r|= 3, then r = 3 or r = -3.
Required
5 points
5
Question 2
2.
The definition of absolute value is...
Required
2 points
2
Question 3
3.
Find the absolute value of this expression:
Required
2 points
2
Question 4
4.
Find the absolute value of this expression:
Required
2 points
2
Question 5
5.
Find the absolute value of this expression:
Required
2 points
2
Question 6
6.
Find the absolute value of this expression:
Required
2 points
2
Question 7
7.
Find the absolute value of this expression:
Required
2 points
2
Question 8
8.
Find the absolute value of this expression:
Required
2 points
2
Question 9
9.
Find the absolute value of this expression:
Required
1 point
1
Question 10
10.
Required
2 points
2
Question 11
11.
Find the absolute value of this expression:
Solving Absolute Value Equations
Required
10 points
10
Question 12
12.
Solve this absolute Value equation:
|x+4|= 7
+ Case
_______
- Case
_______
Required
10 points
10
Question 13
13.
Solve this absolute Value equation:
|x-2|=5
+ Case
_______
- Case
_______
Required
10 points
10
Question 14
14.
Solve this absolute Value equation:
+ Case
_______
- Case
_______
Required
10 points
10
Question 15
15.
Solve this absolute Value equation:
+ Case
_______
- Case
_______
Required
10 points
10
Question 16
16.
Solve this absolute Value equation:
+ Case
_______
- Case
_______
Required
10 points
10
Question 17
17.
Solve this absolute Value equation:
+ Case
_______
- Case
_______
Required
10 points
10
Question 18
18.
Solve this absolute Value equation:
+ Case
_______
- Case
_______
Required
10 points
10
Question 19
19.
Solve this absolute Value equation:
+ Case
_______
- Case
_______
Day 2 10/2/24
Absolute Value Special Cases
Required
5 points
5
Question 20
20.
In math, is there a difference between distance and direction?
Required
5 points
5
Question 21
21.
Explain why this is not possible:
|x|= - 6
Required
10 points
10
Question 22
22.
Solve this absolute Value equation:
-3|2x+1|=21
Does this have a solution?
_______
+ Case (If no solution exists, then write "no solution")
_______
- Case (If no solution exists, then write "no solution")
_______
Required
15 points
15
Question 23
23.
Solve this absolute Value equation:
-3|2x+1|=-21
Does this have a solution?
_______
+ Case (If no solution exists, then write "no solution")
_______
- Case (If no solution exists, then write "no solution")
_______
Required
15 points
15
Question 24
24.
Solve this absolute Value equation:
-5|4x-3|=-45
Does this have a solution?
_______
+ Case (If no solution exists, then write "no solution")
_______
- Case (If no solution exists, then write "no solution")
_______
Required
15 points
15
Question 25
25.
Solve this absolute Value equation:
|3b+9|-16=-45
Does this have a solution?
_______
+ Case (If no solution exists, then write "no solution")
_______
- Case (If no solution exists, then write "no solution")
_______
Required
15 points
15
Question 26
26.
Solve this absolute Value equation:
-|3b+9|-16=-45
Does this have a solution?
_______
+ Case (If no solution exists, then write "no solution")
_______
- Case (If no solution exists, then write "no solution")
_______
Solving Inequalities
Essential Question: How do you solve and graph inequalities?
Learning Target: Students will be able to solve solve and graph inequalities that represent real-world problems.
Complete the entire assignment and show work for full credit. Responses with no work shown will receive no credit.
Required
10 points
10
Question 27
27.
Solve and graph the inequality for the given variable.
Required
10 points
10
Question 28
28.
Solve and graph the inequality for the given variable.
Required
10 points
10
Question 29
29.
Solve and graph the inequality for the given variable.
Required
10 points
10
Question 30
30.
Solve and graph the inequality for the given variable.
Required
10 points
10
Question 31
31.
Solve and graph the inequality for the given variable.
Required
10 points
10
Question 32
32.
Solve and graph the inequality for the given variable.
Required
10 points
10
Question 33
33.
Solve and graph the inequality for the given variable.
Required
10 points
10
Question 34
34.
Solve and graph the inequality for the given variable.
Day 3 10/3/24
Compound Inequalities
Required
20 points
20
Question 35
35.
Complete these notes for compound inequalities.
Required
10 points
10
Question 36
36.
Solve and graph the compound inequality for the given variable.
_______ or _______
Required
10 points
10
Question 37
37.
Solve and graph the compound inequality for the given variable.
_______ or _______
Required
10 points
10
Question 38
38.
Solve and graph the compound inequality for the given variable.
_______ or _______
Required
20 points
20
Question 39
39.
Complete these notes for compound inequalities.
Required
10 points
10
Question 40
40.
Solve and graph the compound inequality for the given variable.
_______ and _______
Required
10 points
10
Question 41
41.
Solve and graph the compound inequality for the given variable.
_______ and _______
Required
10 points
10
Question 42
42.
Solve and graph the compound inequality for the given variable.
_______ and _______
Required
10 points
10
Question 43
43.
Solve and graph the compound inequality for the given variable.
_______ and _______
Day 4 10/4/24
Spiral Review
Come on you know you forgot this stuff already.
Prove me wrong...
Required
10 points
10
Question 44
44.
Simplify this expression. Your answer should not have negative exponents.
Required
10 points
10
Question 45
45.
Simplify this expression. Your answer should not have negative exponents.
Required
10 points
10
Question 46
46.
Simplify this expression. Your answer should not have negative exponents.
Required
10 points
10
Question 47
47.
Simplify this expression. Your answer should not have negative exponents.
Required
10 points
10
Question 48
48.
Simplify this expression. Your answer should not have negative exponents.
Required
10 points
10
Question 49
49.
Find the Product of these polynomials.
Required
10 points
10
Question 50
50.
Find the Product of these polynomials.
Required
10 points
10
Question 51
51.
Find the difference between these polynomials. (subtract them)
Required
10 points
10
Question 52
52.
Find the Product
Required
10 points
10
Question 53
53.
Find the Product:
Required
10 points
10
Question 54
54.
Find the square of this binomial.
Required
10 points
10
Question 55
55.
Find the square of this binomial.
Required
10 points
10
Question 56
56.
Find the Product
Required
5 points
5
Question 57
57.
Match the exponents and radical to their matching expressions
Draggable item
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Corresponding Item
arrow_right_alt
arrow_right_alt
arrow_right_alt
arrow_right_alt
arrow_right_alt
Required
5 points
5
Question 58
58.
Match the exponents and radical to their matching expressions