Absolute Value Word Problems

Absolute Value Word Problems

EQ: How do you write an absolute value inequality from a word problem?

I can write an absolute value inequality given a real world application.

Multiple Choice

What's a way to define absolute value?

• The value of a number
• The opposite of a number
• The distance of a number from zero
• The multiplicative inverse of a number

Poll

What topic do you need more support on in this unit?

• Solve absolute value equations

• Solve absolute value inequalities

• Setting up absolute value word problems

• Graphing absolute value inequalities

• Nothing

Poll

How do you turn in your assingnments?

• Put into digital notebook

• Turn into google classroom

Poll

Do you need help with your digital notebook?

• Yes

• NO

Multiple Choice

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) .

• |W - 25| ≤ .5
• |W - .5| ≤ 25
• |W - 25| ≥ .5
• |W - .5| ≥ 25

Multiple Choice

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

Multiple Choice

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

Multiple Choice

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

Multiple Choice

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

Multiple Choice

A candy manufacture puts 240 pieces of candy into each bag. The bag can be off by 8 pieces. Write an absolute value inequality that displays the acceptable amount of candy pieces that can be in a bag.

• $\left|x-240\right|\le8$

• $\left|x-8\right|\ge240$

• $\left|x+240\right|\le8$

• $\left|x-240\right|\ge8$