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Inequalities
Word Problems Inequalities
100
12 - x = 18
What is -6
100

The measure of one side of a square is (p + 4) inches long. Which pair of expressions both represent the perimeter of this square?

A. 4(p + 4)

and

(p + 4) + (p + 4) + (p + 4) + (p + 4)

B.  2(p + 4)

and

(p + 4) (p + 4)

C. 4(p + 4)

 and

(p + 4) + (p + 4) + (p + 4) + (p + 4)

D. (p + 4)

and

(p + 4) (p + 4)

100
Graph the solution to x + 1 < 6
What is <---------------------------------->
100

Addison wants to ride her bicycle more than 70 miles this week. She has already ridden her bicycle 18 miles. Which inequality could be used to determine the mean number of miles, m, she would need to ride her bicycle each day for six more days to achieve her goal?

A 6m + 18 < 70                                      B 6m - 18 < 70

C 6m + 18 > 70                                      D 6m - 18 > 70

200
-2x + 5 = 15
What is -5
200
You are helping prepare a large meal. You can peel 2 carrots per minute. You need to peel 60 carrots. How long will it take you to finish if you have already peeled 18 carrots?
What is 21 minutes
200
Graph the solution to 2x > -6
What is <------------------------------------>
200

Mr. Santino needs a total of 406 forks in his restaurant. He currently has 278 forks. If each set has 12 forks, what is the minimum number of sets of forks he should buy?

A. 140                                                   B. 12

C. 11                                                     D. 140

300
4 * (3x - 6) = 12
What is 3
300
A cell phone plan costs $49.95 per month. The first 500 minutes are free (included). Each minute thereafter costs $0.35. For a bill that costs $68.50, how many minutes over the 500 minute limit did the customer use/talk?
What is 53 minutes
300
Graph the solution to -2x > 6
What is <--------------------------------->
300

Students in the school band are selling calendars as a fundraiser. They earn $0.45 on each calendar they sell. Their goal is to earn MORE THAN $300. WRITE AND SOLVE an inequality to find the fewest number of calendars they can sell and still reach their goal.

What is 0.45x >=300 x >=667 calendars (round up because 666 calendars will not reach their goal of $300)

400
9 - 2*(3x - 1) = 23
What is -2
400
You are fencing a rectangular puppy kennel with 25 ft of fencing material. The side of the kennel against your house does NOT need a fence. This side is 9 feet long. Find the dimensions of the kennel.
What is 8 ft x 9 ft
400
Graph the solution to -3x + 1 < 7
What is <------------------------------------>
400
Mandela is starting a part time computer repair business. He plans to charge $25 per hour. Each month he must pay $580 in expenses (equipment rental, materials, advertising, etc.). WRITE AND SOLVE an inequality to find how many hours Mandela will have to work to make a $600 PROFIT?
What is 25x - 580 >= 600 x >= 47.2 hours OR 25x >= 1180