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This comprehensive guide covers a variety of mathematical problems, including simplifying expressions, solving equations, and applying the Pythagorean theorem to find missing sides of right triangles. It also includes methods for finding distances between points and determining midpoints. Each problem is categorized by difficulty level to enhance learning, making this a perfect resource for students seeking to strengthen their mathematical skills and understanding. Perfect for practice and honing problem-solving techniques!
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100 Simplify the expression.
200 Simplify the expression.
300 Simplify the expression.
400 Simplify the expression.
500 Simplify the expression.
100 Simplify the expression.
200 Simplify the expression.
300 Simplify the expression.
400 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 Find the length of the missing side of the right triangle. a = 9, b = 12, c = ?
200 Tell whether the given sides form a right triangle. 4.5, 7.5, 6
300 Find the length of the missing side of the right triangle. a = ?, b = 25, c = 30
400 Tell whether the given sides form a right triangle. 61, 15, 60
500 Find the length of the missing side of the right triangle. a = 2.5, b = ?, c = 7
100 Find the distance between the two points. (1, -5) and (6, 7)
200 Find the midpoint between the two endpoints. (-14, 3) and (10, -4)
300 Find the distance between the two points. (-3, -3) and (8, -2)
400 Find the midpoint between the two endpoints. (-11, -6) and (16, 22)
500 Find the distance between the two points. (14, -5) and (-3, 8)