Solving Word Pythagorean Distance Equations Problems Inequalities Theorem
Solving Word Pythagorean Distance Equations & Problems Inequalities Theorem Formula Midpoint 100 100 100 200 200 200 300 300 300 400 400 400 500 500 500 Team 1 Team 2 Team 3 Team 4 Team 5 Team 6 Team 7 Team 8
You are throwing a Halloween party and you want your guests to arrive between 7 p. m. and 8 p. m. , not a second earlier or a second later Write an inequality that shows the intersection between the two times then graph it Word Probs 100
Answer: 7<x<8
A new movie staring Mr. Potato Head is going to take place! The cost to produce the movie is $75, 450. The company already has $2442. 50. If each ticket for the movies cost $9. 50, how many tickets do they need to sell to break even? Word Probs 200
Answer: 7685 tickets
Alex, Jill and Paul agree to share their earnings in this way: Paul gets twice as much as Jillian. Alex gets three times as much as Jill. If x stands for the amount Jill gets, write an equation to model them earning $84. Word Probs 300
Answer: x + 2 x + 3 x = 84
Which statement is modeled by 2 p + 5 < 11? a) The sum of 5 and 2 times p is at least 11. b) Five added to the product of 2 and p is less than 11. c) Two times p plus 5 is at most 11. d) The product of 2 and p added to 5 is 11. Word Probs 400
Answer: b
Write and solve an inequality: Adrian works in New York City and makes $42 per hour. She works in an office and must get her suit dry cleaned everyday for $75. If she wants to make more than $260 a day, at least how many hours must she work? Word Probs 500
Answer: 42 x – 75 > 260 at least 8 hours
Solve the inequality. Solving 100
Answer: x < -10
Solve the equation. Solving 200
Answer: -2
Solve the inequality. t + 22 < 3 t – 12 Solving 300
Answer: 17 < t or t >17
Solve the equation Solving 400
Answer: x=41
Solve the equation. Solving 500
Answer: x = -0. 5
A right triangle has one leg that is 4 inches. The hypotenuse is √ 916 inches. Find the lengths of the other legs. Pythagorean 100
Answer: 30 inches
A right triangle has one leg that is 2 times as long as the other leg. The hypotenuse is √ 80 inches. Find the lengths of the other legs. Pythagorean 200
Answer: legs = 4 in and 8 in
A 12 foot ladder is leaning against a 6 foot tree. How far from the base of the tree is the bottom of the ladder? Pythagorean 300
Answer: 5 feet
Each wilderness troop at a camping outing has created its own flag. Your troop’s flag is triangular with side lengths 15 in. , 18 in. , and 23 in. Is the flag a right triangle? How do you know? Pythagorean 400
Answer: no because 225+324 = 549
A tower that is being constructed will be 30 ft tall. The correct length of the guy wire that will help tether the tower should be 39 ft long. If the correct length wire is used, how far from the tower should the guy wire be attached to the ground. Round your answer to the nearest foot. Pythagorean 500
Answer: 25 feet
Find the distance between the two points. (1, -5) and (6, 7) Distance 100
Answer: 13 units
Find the distance between the two points. (-11, -4) and (9, -2) Distance 200
Answer: about 20. 1 units
The distance d between two points is given. Find the value of b. (7, b) and (-1, 3); d=10 Distance 300
Answer: b=9
The distance d between two points is given. Find the value of x. (9, -5) and (x, 6); d=√ 185 Distance 400
Answer: x=1
A walking trail follows the path shown on the map. The distance between consecutive grid lines is 1 mile. Find the total distance of the trail from start to finish. Round to the nearest mile. Distance 500
Answer: 15 miles
Find the midpoint of the line segment with the given endpoints. (-14, 3) and (10, -1) Midpoint 100
Answer: (-2, 1)
An amusement park designer wants to place a Ferris wheel midway between the two largest coasters. The distance between consecutive grid lines is 500 ft. Determine the coordinates of where the Ferris wheel should be. Midpoint 200
Answer: (1750, 2000)
You have 30 days left to read books on your summer reading list. As of today, you have read 5 books. By the end of the 30 days, you have to have read 12 books. Assume that the books are all approximately the same length and you read at a relatively constant pace. After 15 days, how many books should you have read? Midpoint 300
Answer: 8. 5 books
You are biking a straightline distance between the two towns shown on the map. The distance between consecutive grid lines is 1 mile. You stop halfway between the two towns to eat a snack. What are the coordinates of your location? Midpoint 400
Answer: (4, 7)
You are biking a straight-line distance between the two towns shown on the map. The distance between consecutive grid lines is 1 mile. On the way back, you stop one-quarter of the way from your destination to visit a friend. What are the coordinates of your location? Midpoint 500
Answer: (5. 5 , 9. 5)
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