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“1 & 2 Step Equation” Word Problems Notes When writing word problems into an equation, there are key words to memorize. Algebraic expression An algebraic expression is a combination of variables (letters), numbers, and at least one operation. (ex: 2n+5) Numerical expression A numerical expression is a combination of numbers and operations. (ex: 2-5) Algebraic equation: An Algebraic equation is a mathematical sentence that contains an equal’s sign with variables, numbers, and operation. (ex: 2N +5 =12) Addition key words are *More than Increased by Sum *Less than (ex: 2 less than 5 is written as 5-2) Decreased by Difference Less ( ex: Product Twice (2 times ) Subtraction key words are Multiplication key words are “of” when it’s by itself (ex: Division key words are Equal key words are Ex. Write an algebraic equation. 1. Six less than a number is 20. 2. Bottle-nosed dolphins and killer whales are the best -known species of the dolphin family. A killer whale, which can grow to a length of 9 meters, is 4 meters longer than a bottle-nosed dolphin. How long is a bottle-nosed dolphin, d? 3. A pair of shoes costs $25. This is $14 less than the cost of a pair of jeans, J. Find the cost of the jeans. 4. Zack is 15 years old. This is 3 years younger than twice his brother Tyler, T. How old is Tyler? 1 1 of 12 means 12 2 2 Quotient Ratio Is verbs Answer: 1. Six less than a number, n is 20. n-6 = 20 2. A killer whale, which can grow to a length of 9 meters, is 4 meters longer than a bottle-nosed dolphin, d. 9= d+4 or d+4 = 9 3. A pair of shoes costs $25. This is $14 less than the cost of a pair of jeans, J. 25 = J- 14 or J- 14=25 4. Zack is 15 years old. This is 3 years younger than twice his brother Tyler, T. 15 = 2T- 3 or 2T- 3=15