Jeopardy Solving Equations Simplifying Radicals

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Presentation transcript:

Jeopardy 100 200 300 400 500 Solving Equations Simplifying Radicals Pythagorean Theorem Distance Formula Midpoint Formula 100 200 300 400 500

Simplify the expression. 100 Simplify the expression.

Simplify the expression. 200 Simplify the expression.

Simplify the expression. 300 Simplify the expression.

Simplify the expression. 400 Simplify the expression.

Simplify the expression. 500 Simplify the expression.

100 Solve the equation.

200 Solve the equation.

300 Solve the equation.

400 Solve the equation.

500 Solve the equation.

100 A right triangle has one leg that is 4 inches shorter than the other leg. The hypotenuse is √106 inches. Find the lengths of the other legs.

200 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.

300 A right triangle has one leg that is 3/5 the length of the other leg. The hypotenuse is 2√34 inches. Find the lengths of the other legs.

400 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?

500 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.

Find the distance between the two points. 100 Find the distance between the two points. (1, -5) and (6, 7)

Find the distance between the two points. 200 Find the distance between the two points. (-11, -4) and (9, -2)

The distance d between two points is given. Find the value of b. 300 The distance d between two points is given. Find the value of b. (7, b) and (-1, 3); d=2√17

The distance d between two points is given. Find the value of b. 400 The distance d between two points is given. Find the value of b. (9, -5) and (b, 6); d=√290

500 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.

Find the midpoint of the line segment with the given endpoints. 100 Find the midpoint of the line segment with the given endpoints. (-14, 3) and (10, -1)

a. Determine the coordinates of where the Ferris wheel should be. 200 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. a. Determine the coordinates of where the Ferris wheel should be. b. How far will the Ferris wheel be from each of the coasters? Round to the nearest foot.

300 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?

400 You are biking a straight-line 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?

500 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 you destination to visit a friend. How far are you from your destination? Round to the nearest mile. What are the coordinates of your location?