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# 2c translate equations

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### 2c translate equations

1. 1. 2c Formulate algebraic expressions, equations, and inequalities to reflect a<br />given situation and vice versa. <br />(DOK 2)<br />By: Deia Sanders<br />
2. 2. Vocabulary<br />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).<br />Examples: x, y, z<br />Algebraic Expression – a mathematical phrase involving at least one variable and sometimes numbers and operation symbols<br />Examples: n – 2, x + 4, 4 + 3y – 2<br />Algebraic Equation – a mathematical sentence indicating that quantities are equal<br />Examples: n – 10 = 2 or 5 – x = -6<br />Algebraic Inequality – a mathematical sentence indicating that quantities are not equal.<br />The inequality signs are ≤, ≥, <, >, and ≠.<br />Examples: x ≤ 4 or y ≥ -6<br />
3. 3. Page 84<br />Let’s review words that can be translated into math symbols!<br />
4. 4. Translating from Words to Expressions<br />\$25 greater than the cost of the jacket.<br />Underline <br />Key Words!!<br />Let’s break it down!!<br />
5. 5. Translating from Expression to Words<br />n + 7<br />Underline <br />Key Words!!<br />Make up your own problem!<br />
6. 6. Words to Algebraic Equations<br />The quotient of 72 and a number is 3<br />Underline <br />Key Words!!<br />Let’s break it down!!<br />
7. 7. Algebraic Equations to Words<br />Underline <br />Key Words!!<br />Make up your own problem!<br />
8. 8. Words to Algebraic Inequalities<br />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?<br />Let’s break it down!!<br />Underline <br />Key Words!!<br />
9. 9. Algebraic Inequalities to Words<br />2x – 3 > 14<br />Make up your own problem!<br />Underline <br />Key Words!!<br />
10. 10. Additional Examples<br />9 added to a number<br />10 less than a number<br />Twice a number decreased by 2 is less than 14.<br />A number decreased by 7 is 5.<br />
11. 11. Translate the following:<br />The sum of 25 and a number is 32.<br />The product of 4 and a number is greater than 15.<br />The difference of a number and 6 is at most 30.<br />The quotient of 60 and a number is greater than or equal to 10.<br />The cost of the jacket is no more than \$25.00.<br />
12. 12. And more…<br />The length of one side of the triangle is 25 inches<br />The weight of the bear is at least 300 pounds.<br />The distance traveled is at most 75 miles.<br />The time necessary to complete the project is no more than 25 minutes.<br />