Absolute Values Inequalities

Absolute Values Inequalities

9th Grade

13 Qs

quiz-placeholder

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Absolute Values Inequalities

Absolute Values Inequalities

Assessment

Quiz

Mathematics

9th Grade

Practice Problem

Hard

CCSS
6.NS.C.7C, 6.EE.B.8

Standards-aligned

Created by

Anthony Clark

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13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

|4v + 12| ≥ 6

v ≤ -4.5 or v ≥ -1.5

-4.5 ≤ v ≤ -1.4

-1.5 ≤ v ≤ 4.5

v ≤ -1.5 or v ≥ 4.5

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve.

3|2d + 9| + 13 > 10

d > 5 or d < -1

d < -4 or d > 5

No Solution

All real numbers

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve.

|-3f| ≥ 6.3

-18.9 ≤ f ≤ 18.9

no solution

f ≤ -2.1 or f ≥ 2.1

-2.1 ≤ f ≤ 2.1

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve.
|4m + 9| ≥ 21

-7.5 ≤ m ≤ 3

m ≤ -7.5 or m ≥ 3

-3 ≤ m ≤ 7.5

m ≤ -3 or m ≥ 7.5

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.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The rules for an essay contest say that entries can have 500 words with an absolute deviation of at most 30 words. Which inequality represents represents the acceptable number of words?

|x - 30| < 500

|x - 30| ≤ 500

|x - 500| < 30

|x - 500| ≤ 30

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Six students measure the acceleration (in m/s) of an object in free fall. The measured values are shown below. The students want to state that the absolute deviation of each measured value, x, from the mean is at most d. Find the value of d.

0.46

0.86

10.05

9.79

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