2c translate equations
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By: Deia Sanders 2c Formulate algebraic expressions, equations, and inequalities to reflect a given situation and vice versa. (DOK 2)
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Transcript of 2c translate equations
By: Deia Sanders
2c Formulate algebraic expressions, equations, and inequalities to reflect a
given situation and vice versa. (DOK 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, z
Algebraic 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 = -6
Algebraic Inequality – a mathematical sentence indicating that quantities are not equal.The inequality signs are ≤, ≥, <, >, and ≠.Examples: x ≤ 4 or y ≥ -6
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Let’s review words that can be
translated into math symbols!
Translating from Words to Expressions
$25 greater than the cost of the jacket.
Let’s break it down!!Underline
Key Words!!
Translating from Expression to Words
n + 7
Make up your own problem!
Underline
Key Words!!
Words to Algebraic Equations
The quotient of 72 and a number is 3
Let’s break it down!!Underline
Key Words!!
Algebraic Equations to Words
25
d
Make up your own problem!
Underline
Key Words!!
Words to Algebraic Inequalities
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?
Let’s break it down!!Underline
Key Words!!
Algebraic Inequalities to Words
Make up your own problem!
2x – 3 > 14Underline
Key Words!!
Additional Examples
9 added to a number
10 less than a number
Twice a number decreased by 2 is less than 14.
A number decreased by 7 is 5.
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.
And more…
The length of one side of the triangle is 25 inches
The 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.
