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Absolute Value Inequalities and Word Problems

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Absolute Value Inequalities and Word Problems
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

| x + 3 | ≤ 2

No Solution

All Real Numbers

-5 ≤ x ≤ -1

1 ≤ x ≤ 5

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

| x - 6 | < 4
Is this an "and"  or an "or" problem?

and

or

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

| x - 2 | > 3
Is this an "and"  or an "or" problem?

and

or

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

| x + 1 | ≥ 3

No Solution

All Real Numbers

x ≤ -4  or  x ≥ 2

-4 ≤ x ≤ 2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A company makes boxes of crackers that should weigh 213g. A quality control inspector randomly selects boxes to weigh.  Any box that varies from the weight by more than 5g is sent back. What is an equation that shows the range of allowable weights for a box of crackers and what is the range?

|w - 213| ≤ 5,         208 ≤ w ≤ 218

|w - 213| ≤ 5,                   0 ≤ w ≤ 10

|w - 5| ≤ 213,         208 ≤ w ≤ 218

|w - 5| ≤ 213,                   0 ≤ w ≤ 10

6.

DRAG AND DROP QUESTION

1 min • 2 pts

A company that makes golf balls needs to ship bags of balls that contain 690 balls, plus or minus six balls. Write an absolute value inequality that expresses the acceptable number of balls in each bag.

690

6

696

-6

5

4

3

2

1

689

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

John is looking for a job after graduation. The salary which he is satisfied with must be $3000 with a tolerance of $500. Which of the following inequalities can be used to assess which if his salary is tolerable? (m is the measure of the salary)

|m - 500| ≤ 3000

|m - 500| ≥ 3000

|m - 3000| ≥ 500

|m - 3000| ≤ 500

Tags

CCSS.HSA.CED.A.3

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