2.2.2 Solving Absolute Value Equations Real World Solutions

Solve for x
l 5x l = 40

• x = 8 and x =-8
• x = 35 and x = -35
• Only x = 8
• No Solution

Tags

CCSS.6.NS.C.7C

Solve for x
l 2x−1 l +4 = 8 

• x = 2.5 and x = -1.5
• x = 2 and x = -1
• x = -2 and x = 9
• No Solution

Tags

CCSS.6.NS.C.7C

-3|−2r − 1| = 12

• {-6,5}

• {4,-6}

• -4

• No Solution

 |−2n| + 10 = −50

• {30, -30}
• {20,-20}
• {-5,5}
• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

The radius of the gears produced at a factory must be 6 inches in length with a tolerance of plus or minus 0.1 inches. The gears with radius beyond the tolerated lengths will be thrown away. Which of the following equations will calculate the maximum and minimum gear radius that can be kept?

• |x – 6| = 0.1

• |6 – x| = 0.1

• |x – 0.1| = 6

• |0.1 – x| = 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.6.NS.C.7C

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.6.NS.C.7C

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 equation can be used to determine the maximum and minimum width that is okay ?

• |W - 25| = .5

• |W - .5| = 25

• |25 - W| = .5

• |25 - W| = 25

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

• |500 - m| = 3000

• |3000-m| = 500

• |m - 3000| = 500

John is looking for a job after graduation. The salary which he is satisfied with must be $3000 with a tolerance of $500. What is the lowest and highest salary he would be happy with?

• $3500 and $2500

• $500 and $3000

• any salary greater than $3000