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Combine Like Terms and Distribute
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Write each scenario as an equation and solve it.
7. The sum of 3x and 2x and 7x and 6 is 42. 8. Darin, Mary and Keith are all siblings two years apart in age. The sum of their ages is 45. How old is the youngest? How old is the oldest? 9. The perimeter of a triangle is 28 cm. The shortest side is x cm long and the longest side is 5 cm longer than the shortest side. The third side is 3 shorter than the longest side. Find the lengths of the triangle’s sides.
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Combine Like Terms and Distribute (Cont.) Solve each equation.
4. The area of a rectangle is 48 square units. The length is 12 units and the width is five less than x. What is the width? 5. The sum of the angles of a triangle equal 180°. What are the measures of the angles? (8x + 14)° (3x – 1)° (3x – 1)°
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