Absolute Value Tolerance Word Problems

You have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 50 dollars give or take 15. The number 15 best represents the...

• range

• tolerance

• optimal or average value

• maximum

You have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 50 dollars give or take 15. The number 50 best represents the...

• range

• tolerance

• goal amount (average/optimal amount)

• maximum

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

You have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 50 dollars give or take 15. What absolute value inequality describes this situation?

• | x - 15 | ≤ 50

• | x - 50 | ≤ 15

• | x - 15 | ≥ 50

• | x - 50| ≥ 50

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

The radius of the gears produced at a factory must be 6 inches in length with a tolerance of 0.1 inches. The gears with radius beyond the tolerated lengths will be thrown away. Which of the following inequalities can be used to assess which gears are eligible? (x is the length of the radius)

• |x – 6| ≤ 0.1
• |x – 6| ≥ 0.1
• |x – 0.1| ≤ 6
• |x – 0.1| ≥ 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

The street built in the city must be 25 feet in width with a tolerance of 0.5 feet. Streets that are not within the tolerated widths must be repaired. Which of the following inequalities can be used to assess which streets are within tolerance? (W is the width of the street) .

• |25 - W| ≤ .5

• |W - .5| ≤ 25

• |W - 25| ≥ .5

• |.5 - W| ≥ 25

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

At the TX Design Company, the average starting salary for a new  designer is $33,600, but the actual  salary could differ from the average by  as much as $1,560.  Which inequality  could be used to determine if a salary, x, falls within this range?

•   |x -­ 1,560| ≤ 33,600

•   x -­ 33,600 ≤ 1,560

•   |x ­ -33,600| ≥ 1,560

•   |x -­ 33,600| ≤ 1,560

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

• Tolerance = 3

• The Ideal Amount = 135

• The solution set to this inequality represents the set of acceptable steak temperatures for a medium rare steak.

• The solution set to this inequality represents the set of steaks that are outside of the medium rare classification.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

A box of toothpicks should weight 3.5 ounces give or take an ounce.

Which statement is false regarding this model?  |x - 3.5| > 1

• Tolerance = 1

• The Ideal Amount = 3.5

• The solution to the inequality will be the set of ACCEPTED weights of the toothpick boxes.

• The solution to the inequality will be the set of REJECTED weights of the toothpick boxes.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

Solve the absolute Value inequality and graph. 

• A
• B
• C
• D

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

The graphed solution represents the solutions to which inequality?

• | x + 9 | > 3

• | x - 9 | > 3

• | x - 9 | < 3

• | x + 9 | < 3

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12