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Published byHeaven Harrower Modified over 4 years ago

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Word Problems What again?

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It can be hard to turn words into equations. Take each word or phrase and create the equation one step at a time. Find a positive number such that 3 times the number is 2 less than 4 times the number. Crazy Number Problems Let “x” be some number. “3 times the number” means: 3x “is” means: = “2 less than” means: - 2 “4 times the number” means: 4x Put it all together and solve. 3x = 4x – 2 - x = - 2 x = 2

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Consecutive integers means numbers in a order. 1, 2, 3, 4, … Consecutive even integers means even numbers in order. 2, 4, 6, 8, … Consecutive odd integers means, you guessed it, odd numbers in order. 1, 3, 5, 7, … Crazy Number Problems

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Find two consecutive even integers such that 5 times the smaller number is 2 more than 4 times the larger number. Crazy Word Problems Then solve. 5x = 4(x + 2) + 2 5x = 4x + 8 + 2 5x = 4x + 10 x = 10 The numbers are 10 and 12. x is the smaller number. x + 2 would be the next even integer. “5 times the smaller number” means: 5x “2 more than” means: +2 “4 times the larger number” means: 4(x + 2)

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The perimeter of a figure is the distance around the outside. You find perimeter by adding together all the sides. Draw a picture to help with these. The perimeter of a rectangle is 44inches. The length is 8 more than 6 times the width. What are the dimensions? Perimeter 6w + 8 w Perimeter of a Rectangle is: P = 2l + 2w 44 = 2(6w + 8) + 2w 44 = 12w + 16 + 2w 44 = 14w + 16 28 = 14w w = 2 inches If the width is 2 inches, then find the length. L = 6w + 8 = 6(2) + 8 = 12 + 8 = 20 The length is 20 inches.

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