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Pythagorean Theorem
PT Word Problems
Solving Equations
Equation Word Problems
Misc
100
Find the missing side of a triangle that has a leg of 3 and a hypotenuse of 5
What is 4
100
John walks from his house to school. He walks 3 blocks north and 4 blocks west. How far is he from his house (shortest distance)?
What is 5
100
Solve for x: bx + c = d
What is d - c ------- b
100
Scott bought three bags of candy with 75 pieces in each one. He plans to divide all the candy evenly among four friends and himself. How many pieces of candy will each kid get?
What is 45 pieces
100
Simplify: -12 + 8 - 3 - 6 + 21 - 13
What is -5
200
Find the missing side of a triangle with a leg = 5 and the other leg = 12
What is 13
200
A 13 feet ladder is placed 5 feet away from a wall. How high up on the wall will the ladder reach?
What is 12 feet
200
Solve for y: 3y - 8 = -35
What is y = -9
200
Abhasra's Bikes rents bikes for $13.79 plus $4.57 per hour. Gabriella paid $45.78 to rent a bike. For how many hours did she rent the bike?
What is 7
200
Combine the like terms: 6x + 7 - 2y - 2x + 14 + 8y
What is 4x + 6y + 21
300
A triangle has a hypotenuse of 15 and a leg of 12. What is the length of the other leg?
What is 9
300
A ship leaves port and travels 100 km due east then turns due south travels 75km. How far from the port is the ship?
What is 125 km
300
Solve for m: 4m + x ---------- = c b
What is cd - x ------ 4
300
The sum of three consecutive odd numbers is 33. What is the smallest of these numbers?
What is 9
300
Simplify: (14x + 8y - 12) - (20x - 2y + 15)
What is -6x + 10y -27
400
A right triangle has legs that are both equal to 12, what is the length of the hypotenuse? (round to the nearest 100th)
What is 16.97
400
the diagonal of a rectangle is 105 inches long. The width of the rectangle is 63 inches. What is the perimeter of the rectangle?
First find the length by using the Pythagorean theorem. 63^2 + b^2 = 105^2 b = 84 84 + 84 + 63 + 63 = 294 inches
400
Solve for x: -4(-7x + 7) - 6x = 4(x - 9) - 6
What is x = -1
400
For a field trip 11 students rode in cars and the rest filled eight buses. How many students were in each bus if 315 students were on the trip?
What is 38
400
Multiply: (x - 5)(2x + 3)
What is 2x^2 + 3x - 10x - 15 2x^2 - 7x - 15
500
A right triangle has a hypotenuse of 35 and one leg that is 24. What is the length of the other leg? Round your answer to the nearest 100th
What is 25.48
500
A baseball field is in the shape of a square. The distance between each base is 90 ft. A catcher stands at home and throws the ball to 2nd base. How far is his throw?
What is 127.27 ft
500
Solve for m: 1/2m - 3 = 2 - 3/4m
What is x = 4
500
Devin paid $30 to be a member of the Fox Lake Gym. When he takes the boxing class, it costs him $2. Jared is not a member of the Gym, and it costs him $5 for the same class. How many classes would it take for Devin's total cost to equal Jared's total cost?
What is 10 classes
500
Multiply and simplify (3x + 8)(4x - 9)
What is 12x^2 - 27x + 32x - 72 12x^2 + 5x - 72