Alg1 M1 U3B - Part 1

by Gina Spencer

| 19 QuestionsNote 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

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