Alg1 M1 U3B - Part 1 - Gina Spencer | Laabri | Nneɛma a ɛma wotumi yɛ ade

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.

2

Which inequality represents all possible solutions of -8d≥-12?

d ≤ -3/2

d ≥ - 3/2

d ≤ 3/2

d ≥ 3/2

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

2

5<x-2<8

2

2(x + 5) ≤ 6

2

2x+3 > 17

For 6 – 9, match the equation to its solution(s). There are more answers than equations. 2 pts each

2

3|x - 4|= 24

2

(2x + 4)/(x + 2) = 4

2

-1/2 |x + 6|= -10

2

4|3 - 2x|= 52

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

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

2

Identify the interval notation for the graph above.

(– ∞, –3]

(– ∞, –3)

(–3, ∞)

[–3, ∞)

2

Identify the inequality for the same graph.

x > – 3

x ≤ – 3

x < – 3

x ≥ – 3

2

Identify the interval notation for the graph above.

(– ∞, –3]

(– ∞, –3)

(–3, ∞)

[–3, ∞)

1

Identify the inequality for the same graph.

x > – 3

x ≤ – 3

x < – 3

x ≥ – 3

2

Identify the interval notation for the graph above.

(– ∞, –3]

(– ∞, –3)

(–3, ∞)

[–3, ∞)

1

Identify the inequality for the same graph.

x > – 3

x ≤ – 3

x < – 3

x ≥ – 3

2

Identify the interval notation for the graph above.

(– ∞, –3]

(– ∞, –3)

(–3, ∞)

[–3, ∞)

2

Identify the inequality for the same graph.

x > – 3

x ≤ – 3

x < – 3

x ≥ – 3