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Writing & Describing Algebraic Expressions Chapter 2 Lesson 2 Variable: a symbol that stands for a number. Examples: a, b, x, y, …... a Algebraic Expressions: group of numbers, variables, and operations. Examples: 13 - g z+2 3x + 8 Add plus Subtract minus Multiple Divide the product the quotient Combined, together the sum the difference subtract multiply, times groups of divide total of *less than times increased by *more than decreased by fewer than double, triple Twice each, for every per additional how much more than.. of into out of shared equally Examples: 3 less than a number n-3 The sum of 5 and a number 5+b The product of 7 and y 7y Rules: • Write each problem the way you read the words from left to right. • “more than” OR “less than” means flip the problem parts. Write an algebraic expression for each word phrase. 1. The sum of eighty-nine and a number. 2. The difference between forty-six and h. 3. The quotient of twenty and a number. 4. Fifty-five times f. Write an algebraic expression for each word phrase. 1. one more than the product of twelve and a number Answer: 12p + 1 2. four less than a number n divided by two Answer: n ÷ 2 - 4 3. Six minus the quotient of u and two Answer: 6 – u ÷ 2 Translate each algebraic expression into words. 1. 3 + n Answer: 3 more than a number 2. 7h Answer: the product of 7 and h 3. a – 5 **use the word “less than” Answer: 5 is less than a Translate each algebraic expression into words. 4b – 3 Answer: 4 multiplied by b minus 3 OR three less than the product of four and b 5. 16g + 12 Answer: The product of 16 and g plus 12 OR Sixteen times g plus 12 4. Chapter 2 Lesson 3 Function Tables Evaluate each expression to find the missing value in each table. w w÷4 n 88 1 60 2 100 3 4xn+6 Evaluate each expression to find the missing value in each table. n 1 6 7 2n - 2 n 20 5 18 9 25 - n 5 Find an expression for each table. x 0 72 88 x÷8 0 9 11 n 15 25 35 n + 25 40 50 60 Find an expression for each table. n 2n 13 26 9 18 30 60 25 50 x x-2 8 6 4 2 2 0 Combining Like Terms • • • • • • • 3s + 7 – 4 + 4s – 5s + 8p Let’s put together things that are alike: 3s + 4s – 5s= 2s 7–4=3 8p Altogether: 2s + 3 + 8p Let’s do more Combining Like Terms Rules: • Write each problem the way you read the words from left to right. • “more than” OR “less than” means flip the problem parts. Translate each algebraic expression into words. 1. 3 + n Answer: 3 more than a number 2. 7h Answer: the product of 7 and h 3. a – 5 **use the word “less than” Answer: 5 is less than a Evaluate each expression to find the missing value in each table. n 1 6 7 2n - 2 n 20 5 18 9 25 - n 5 Combining Like Terms • • • • • • • 3s + 7 – 4 + 4s – 5s + 8p Let’s put together things that are alike: 3s + 4s – 5s= 2s 7–4=3 8p Altogether: 2s + 3 + 8p Let’s do more