Alg1 M1 U3B - Part 1
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by Gina Spencer
| 19 Questions
Note from the author:
Algebra 1
Algebra 1 - Part 1 of Unit 3B Assessment – Lessons 12 – 16
Solving Absolute Value Equations and Inequalities & Creating Equations to Solve Problems
Show all your work on scratch paper. Drawings may not be to scale.
1
2
Which inequality represents all possible solutions of -8d≥-12?
d ≤ -3/2
d ≥ - 3/2
d ≤ 3/2
d ≥ 3/2
2
2
|k-7|=3
k = 10
k = 10 and k = – 10
k = 10 and k = 4
No Solutions
For Questions 3 - 5, match the inequality to the graph of the solution. 2 pts each
3
2
5<x-2<8
Graph A
Graph B
Graph C
Graph D
Graph E
Graph F
4
2
2(x + 5) ≤ 6
Graph A
Graph B
Graph C
Graph D
Graph E
Graph F
5
2
2x+3 > 17
Graph A
Graph B
Graph C
Graph D
Graph E
Graph F
For 6 – 9, match the equation to its solution(s). There are more answers than equations. 2 pts each
6
2
3|x - 4|= 24
x = -12 and x = 12
x = 14 and x = -26
x = 8 and x = -5
x = -12 and x = 4
x = 12 and x = -4
x = 2/3
x = -8 and x = 5
No Solution
x = -17
7
2
(2x + 4)/(x + 2) = 4
x = -12 and x = 12
x = 14 and x = -26
x = 8 and x = -5
x = -12 and x = 4
x = 12 and x = -4
x = 2/3
x = -8 and x = 5
No Solution
x = -17
8
2
-1/2 |x + 6|= -10
x = -12 and x = 12
x = 14 and x = -26
x = 8 and x = -5
x = -12 and x = 4
x = 12 and x = -4
x = 2/3
x = -8 and x = 5
No Solution
x = -17
9
2
4|3 - 2x|= 52
x = -12 and x = 12
x = 14 and x = -26
x = 8 and x = -5
x = -12 and x = 4
x = 12 and x = -4
x = 2/3
x = -8 and x = 5
No Solution
x = -17
10
2
Which inequality would give the solutions x > 6 or x < -2
-2<x<6
-2>x>6
|x+3|<3
x+2>8 or x+2<0
11
4
Which of the equations below has no real solutions? Choose all that apply.
|x-3|-4=-2
|x-7|+5=4
|x+3|<-2
|x-7|>4
Idetify the interval notation and the inequality for each graph. 2 pts each
12
2
Identify the interval notation for the graph above.
(– ∞, –3]
(– ∞, –3)
(–3, ∞)
[–3, ∞)
13
2
Identify the inequality for the same graph.
x > – 3
x ≤ – 3
x < – 3
x ≥ – 3
14
2
Identify the interval notation for the graph above.
(– ∞, –3]
(– ∞, –3)
(–3, ∞)
[–3, ∞)
15
1
Identify the inequality for the same graph.
x > – 3
x ≤ – 3
x < – 3
x ≥ – 3
16
2
Identify the interval notation for the graph above.
(– ∞, –3]
(– ∞, –3)
(–3, ∞)
[–3, ∞)
17
1
Identify the inequality for the same graph.
x > – 3
x ≤ – 3
x < – 3
x ≥ – 3
18
2
Identify the interval notation for the graph above.
(– ∞, –3]
(– ∞, –3)
(–3, ∞)
[–3, ∞)
19
2
Identify the inequality for the same graph.
x > – 3
x ≤ – 3
x < – 3
x ≥ – 3