Linear Inequalities Worksheets Page 10
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50Algebra Lab
Algebra Lab
Solving Inequalities
Solving Inequalities
You can use algebra tiles to solve inequalities.
Tennessee Curriculum Standards
SPI 3102.3.5 Write and/or solve linear equations,
inequalities, and compound inequalities including those
containing absolute value.
Activity
Solve Inequalities
Solve -2x ≤ 4.
Step 1
Step 2
Use a self-adhesive note to cover the
Since you do not want to solve for a
equals sign on the equation mat. Then
negative x-tile, eliminate the negative
write a ≤ symbol on the note. Model
x-tiles by adding 2 positive x-tiles to
the inequality.
each side. Remove the zero pairs.
-
1
1
-
1
1
1
1
≤
≤
-
1
1
-
-2x ≤ 4
-2x + 2x ≤ 4 + 2x
Step 3
Step 4
Add 4 negative 1-tiles to each side
Separate the tiles into 2 groups.
to isolate the x-tiles. Remove the
zero pairs.
-
-
-
1
1
1
1
-
-
1
1
-
-
1
1
-
-
1
1
1
1
≤
≤
-
-
1
1
-
-
1
1
-4 ≤ 2x
-2 ≤ x or x ≥ -2
Model and Analyze
Use algebra tiles to solve each inequality.
1. -3x < 9
2. -4x > -4
3. -5x ≥ 15
4. -6x ≤ -12
5. In Exercises 1–4, is the coeffi cient of x in each inequality positive or negative?
6. Compare the inequality symbols and locations of the variable in Exercises 1–4
with those in their solutions. What do you fi nd?
7. Model the solution for 3x ≤ 12. How is this different from solving -3x ≤ 12?
8. Write a rule for solving inequalities involving multiplication and division.
(Hint: Remember that dividing by a number is the same as multiplying by
its reciprocal.)
289
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education