2c translate equations
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This document provides examples and explanations of key terms related to algebraic expressions, equations, and inequalities. It gives the definitions of variables, algebraic expressions, equations, and inequalities. Examples are provided for each term. The document then shows how to translate between words and algebraic expressions/equations/inequalities. Sample word problems are presented and translated into mathematical representations and vice versa to demonstrate the process.
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Okay, let's think through this step-by-step:
* For 1 guest, you need 2 bags of spaghetti
* For 2 guests, you need 5 bags of spaghetti
* For 3 guests, you need 8 bags of spaghetti
Let's call the number of guests n. Then we can write:
For n = 1 guest, bags of spaghetti = 2
For n = 2 guests, bags of spaghetti = 5
For n = 3 guests, bags of spaghetti = 8
Looking at the pattern, it seems the number of bags increases by 3 each time the number of guests increases by 1.
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Let's call the number of guests n. Then we can write:
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2c translate equations
- 1. 2c Formulate algebraic expressions, equations, and inequalities to reflect agiven situation and vice versa. (DOK 2)By: Deia Sanders
- 2. VocabularyVariable a symbol such as a letter, box, star, etc. that is used to represent an unknown or undetermined value in an expression or number sentence (equation).Examples: x, y, zAlgebraic Expression a mathematical phrase involving at least one variable and sometimes numbers and operation symbolsExamples: n 2, x + 4, 4 + 3y 2Algebraic Equation a mathematical sentence indicating that quantities are equalExamples: n 10 = 2 or 5 x = -6Algebraic Inequality a mathematical sentence indicating that quantities are not equal.The inequality signs are , , <, >, and .Examples: x 4 or y -6
- 3. Page 84Lets review words that can be translated into math symbols!
- 4. Translating from Words to Expressions$25 greater than the cost of the jacket.Underline Key Words!!Lets break it down!!
- 5. Translating from Expression to Wordsn + 7Underline Key Words!!Make up your own problem!
- 6. Words to Algebraic EquationsThe quotient of 72 and a number is 3Underline Key Words!!Lets break it down!!
- 7. Algebraic Equations to WordsUnderline Key Words!!Make up your own problem!
- 8. Words to Algebraic InequalitiesJana made 85 and 82 on her first two tests. She wants a B average which requires an average of at least 85. What must Jana make on her third test to have a B average?Lets break it down!!Underline Key Words!!
- 9. Algebraic Inequalities to Words2x 3 > 14Make up your own problem!Underline Key Words!!
- 10. Additional Examples9 added to a number10 less than a numberTwice a number decreased by 2 is less than 14.A number decreased by 7 is 5.
- 11. Translate the following:The sum of 25 and a number is 32.The product of 4 and a number is greater than 15.The difference of a number and 6 is at most 30.The quotient of 60 and a number is greater than or equal to 10.The cost of the jacket is no more than $25.00.
- 12. And moreThe length of one side of the triangle is 25 inchesThe weight of the bear is at least 300 pounds.The distance traveled is at most 75 miles.The time necessary to complete the project is no more than 25 minutes.