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Published byDennis Lucas Modified over 9 years ago
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Algebra I 1.3 Write Expressions
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Objective The student will be able to: translate verbal expressions into math expressions and vice versa.
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Vocab Verbal Model — a real life situation using words as labels and using math symbols to relate the words Rate — a fraction that compares two quantities measured in different units Unit Rate — when the denominator of a rate is one
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An algebraic expression contains: 1) one or more numbers or variables, and 2) one or more arithmetic operations. Examples: x – 3 3 2n
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In expressions, there are many different ways to write multiplication. 1)ab 2)a b 3)a(b) or (a)b 4)(a)(b) 5)a x b
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Division, on the other hand, is written as: 1) 2) x ÷ 3
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Throughout this year, you will hear many words that mean addition, subtraction, multiplication, and division. Complete the table with as many as you know.
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Here are some phrases you may have listed. The terms with * are ones that are often used.
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Translating Verbal Phrases –Examples: 4 less than the quantity 6 times a number n 3 times the sum of 7 and a number y The difference of 22 and the square of a number m –Now Try This One: The quotient when the quantity 10 plus a number x is divided by 2
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Write an algebraic expression for 1) m increased by 5. m + 5 2) 7 times the product of x and t. 7xt or 7(x)(t) or 7 x t
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3) 11 less than 4 times a number. 4n - 11 4) two more than 6 times a number. 6n + 2 5) the quotient of a number and 12.
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Which of the following expressions represents 7 times a number decreased by 13? 1.7x + 13 2.7x - 13 3.13 - 7x 4.13 + 7x Answer Now
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Which one of the following expressions represents 28 less than three times a number? 1.28 - 3x 2.3x - 28 3.28 + 3x 4.3x + 28 Answer Now
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Write a verbal expression for: 1) 8 + a. The ratio of m to r The sum of 8 and a 2)
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Which of the following verbal expressions represents 2x + 9? Answer Now 1.9 increased by twice a number 2.a number increased by nine 3.twice a number decreased by 9 4.9 less than twice a number
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Which of the following expressions represents the sum of 16 and five times a number? Answer Now 1.5x - 16 2.16x + 5 3.16 + 5x 4.16 - 5x
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Which of the following verbal expressions represents x 2 + 2x? Answer Now 1.the sum of a number squared and twice a number 2.the sum of a number and twice the number 3.twice a number less than the number squared 4.the sum of a number and twice the number squared
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Which of the following expressions represents four less than the cube of a number? Answer Now 1.4 – x 3 2.4 – 3x 3.3x – 4 4.x 3 – 4
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Write an expression –You have a ribbon that is 8 inches long Suppose you cut a 2in piece? What would you do to find the remaining length?? Suppose you cut a piece n inches? How could you write an expression of the length remaining?? Find a Unit Rate –A car travels 110 miles in 2 hours. Find the Unit Rate
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Solve a Multi Step Problem –Your basic monthly charge for cell phone service is $30, which includes 300 free minutes. You pay a fee for each extra minute you use. One month you paid $3.75 for 15 extra minutes. Final your total bill if you use 22 extra minutes.
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