Absolute Value Equations and Inequalities Word Problems

Sam's house is 14 blocks from the school. Emily lives 6 blocks from Sam. Which equation represents the location of Emily's house in relation to the school?

• |x + 6| = 10
• |x – 6| = 14
• |x – 14| = 6
• |x + 14| = 6

Tags

CCSS.HSA.CED.A.3

Sam's house is 14 blocks from the school. Emily lives 6 blocks from Sam. What is the range of blocks from the school could Emily's house be? (Let Emily's house be represented by x)

• 6 > x > 14
• 6 < x < 14
• 8 > x > 20
• 8 < x < 20

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

Your 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. Write an absolute value equation to model this situation.

• |x-50|=15
• |x+15|=50
• |50+x|=15
• No Solution

Tags

CCSS.HSA.CED.A.3

Your 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 is the range of dollar amounts that could be in your wallet?

• $15 - $50
• $35 - $65
• $15
• $50

The lowest test grade in a class is a 75 and the highest is 91. Write an absolute value equation that expresses the highest and lowest scores on the test

• |x+75|=91
• |x-91|=75
• |x-83|=8
• |x-8|=83

Tags

CCSS.HSA.CED.A.3

The lowest test grade in a class is a 75 and the highest is 91. What is the allowance of grade from the median grade?

• 75 points
• 91 points
• 8 points
• 83 points

A company sells 20-ounce bottles of sports drink. The actual volume of liquid in the bottle must be within 0.03 ounces. What equation can be solved to find the minimum and maximum volume of liquid in a bottle.

• |v|-20=0.03
• |v-20|=0.03
• |v|-0.03=20
• |v-0.03|=20

Tags

CCSS.HSA.CED.A.3

A company sells 20-ounce bottles of sports drink. The actual volume of liquid in the bottle must be within 0.03 ounces. Which volume would NOT be included in the range of liquid?

• 19.93
• 20.013
• 20.02
• 19.99

Tags

CCSS.5.NBT.A.4

A type of mobile phone produced by NOKIA must be less than 8 ounces in weight with a tolerance of 0.3 ounces. The mobiles that are not within the tolerated weight must be recycled. Which of the following inequalities can be used to assess which mobiles are tolerable? (W is the weight of the mobiles) .

• |w - .3| <= 8
• |w - .3| >= 8
• |w - 8| <= .3
• |w - 8| >= .3