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2c Formulate algebraic expressions, equations, and inequalities to reflect a,[object Object],given situation and vice versa. ,[object Object],(DOK 2),[object Object],By: Deia Sanders,[object Object]
Vocabulary,[object Object],Variable – 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).,[object Object],Examples: x, y, z,[object Object],Algebraic Expression – a mathematical phrase involving at least one variable and sometimes numbers and operation symbols,[object Object],Examples: n – 2, x + 4, 4 + 3y – 2,[object Object],Algebraic Equation – a mathematical sentence indicating that quantities are equal,[object Object],Examples: n – 10 = 2 or 5 – x = -6,[object Object],Algebraic Inequality – a mathematical sentence indicating that quantities are not equal.,[object Object],The inequality signs are ≤, ≥, <, >, and ≠.,[object Object],Examples: x ≤ 4 or y ≥ -6,[object Object]
Page 84,[object Object],Let’s review words that can be translated into math symbols!,[object Object]
Translating from Words to Expressions,[object Object],$25 greater than the cost of the jacket.,[object Object],Underline ,[object Object],Key Words!!,[object Object],Let’s break it down!!,[object Object]
Translating from Expression to Words,[object Object],n + 7,[object Object],Underline ,[object Object],Key Words!!,[object Object],Make up your own problem!,[object Object]
Words to Algebraic Equations,[object Object],The quotient of 72 and a number is 3,[object Object],Underline ,[object Object],Key Words!!,[object Object],Let’s break it down!!,[object Object]
Algebraic Equations to Words,[object Object],Underline ,[object Object],Key Words!!,[object Object],Make up your own problem!,[object Object]
Words to Algebraic Inequalities,[object Object],Jana 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?,[object Object],Let’s break it down!!,[object Object],Underline ,[object Object],Key Words!!,[object Object]
Algebraic Inequalities to Words,[object Object],2x – 3 > 14,[object Object],Make up your own problem!,[object Object],Underline ,[object Object],Key Words!!,[object Object]
Additional Examples,[object Object],9 added to a number,[object Object],10 less than a number,[object Object],Twice a number decreased by 2 is less than 14.,[object Object],A number decreased by 7 is 5.,[object Object]
Translate the following:,[object Object],The sum of 25 and a number is 32.,[object Object],The product of 4 and a number is greater than 15.,[object Object],The difference of a number and 6 is at most 30.,[object Object],The quotient of 60 and a number is greater than or equal to 10.,[object Object],The cost of the jacket is no more than $25.00.,[object Object]
And more…,[object Object],The length of one side of the triangle is 25 inches,[object Object],The weight of the bear is at least 300 pounds.,[object Object],The distance traveled is at most 75 miles.,[object Object],The time necessary to complete the project is no more than 25 minutes.,[object Object]

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