Absolute ValueWord Problems

m = measurement of the object you are making.

g = the given measurement.

Error = the amount in which the object you are making cannot be off.

Formula:

m g error g m error or

1. For a door to meet specifications at a carpentry shop the width must be within ½ inch of the expected width of the door. The shop gets an order for doors that are 4 ½ feet wide. Write an inequality that expresses the range of widths for acceptable doors.

What is the formula? m g error Name the given measure. (g)

g = 4 ½ feet = 54 in

What is the margin of error?

error = ½ inch

Now plug in Your information.

UNITS MUST MATCH

154

2M

2. For a door to meet specifications at a carpentry shop the width must be within 1/8 inch of the expected width of the door. The shop gets an order for doors that are 4 feet wide. Write an inequality that expresses the range of widths for acceptable doors.

What is the formula? m g error Name the given measure. (g)

g = 4 feet = 48 in

What is the margin of error?

error = 1/8 inch

Now plug in Your information.

148

8M

UNITS MUST MATCH

3. When manufacturing ¼ inch bolts the difference between the size of the bolt and ¼ inch must be at most 3/100 inch to be acceptable. Write an inequality for the acceptable size of bolts using b for bolt size.

What is the formula? m g error Name the given measure. (g)

g = ¼ inch

What is the margin of error?

error = 3/100 inch

Now plug in Your information.

1 3

4 100b

4. When manufacturing 7/16 inch bolts the difference between the size of the bolt and 7/16 inch must be at most 1/100 inch to be acceptable. Write an inequality for the acceptable size of bolts using b for bolt size.

What is the formula? m g error Name the given measure. (g)

g = 7/16 inch

What is the margin of error?

error = 1/100 inch

Now plug in Your information.

7 1

16 100b

5. When Spheres-R-Us ships bags of golf balls, each bag must contain 510 balls, plus or minus 5 balls. Write an inequality which represents an acceptable number of golf balls in each bag.

What is the formula?

m g error or

g m error

Name the given measure. (g)

g = 510 balls

What is the margin of error?

error = 5 ballsNow plug in

Your information.

510 5b or 510 5b

6. When Spheres-R-Us ships bags of golf balls, each bag must contain 860 balls, plus or minus 9 balls. Write an inequality which represents an acceptable number of golf balls in each bag.

What is the formula?

m g error or

g m error

Name the given measure. (g)

g = 860 balls

What is the margin of error?

error = 9 ballsNow plug in

Your information.

or860 9b 860 9b

7. When Spheres-R-Us ships bags of golf balls, each bag must contain 660 balls, plus or minus 8 balls. Write an inequality which represents an acceptable number of golf balls in each bag.

What is the formula?

m g error or

g m error

Name the given measure. (g)

g = 660 balls

What is the margin of error?

error = 8 ballsNow plug in

Your information.

or 660 8b 660 8b