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3. Generating Expressions and Solving Equations Friday, September 28, 2012
24. When writing equations, you need to be able to translate from a verbal sentence to an algebraic equation. Addition: sum, increased by, more, more than, plus, total, and
Subtraction: difference, decreased by, less, minus, subtract, less, less than, lower than
Multiplication: product, times, of, twice, half, double, triple
Division: quotient, divided by, divide into, divide among, ratio
Equals: is/was, are, same as
27. We can often use algebraic equations to answer questions about real-life situations. 1.) Select a variable to represent the unknown quantity and define it.
2.) Write an algebra equation using the variable in step 1 & the information in the problem.
3.) Solve the equation using required form.
4.) Interpret the solution as an answer to the question (label it)
28. WATCH: When 5 is added to the product of 3 and a number, the result is 17. Find the number. Select a variable and define it.
Write an algebra equation using the information.
Solve the equation using required form.
Interpret the answer (label it). x = number
3x + 5 = 17
x = 4
The number is 4.
29. Formulas as Equations A formula is an equation that shows a relationship between two or more quantities. The quantities are represented by variables. In order to use a formula as an equation we will:
write the formula needed
substitute given values into the formula
solve the resulting equation using required form
label the answer
30. WATCH:
Find the area and perimeter of the rectangle shown below. Use A = lw, P = 2l + 2w .
2.4 cm
5.4 cm
31. Find the width of a rectangle with a perimeter of 42 meters and a length of 14 meters. Use P = 2l + 2w .
42 = 2 (14) + 2 w
42 = 28 + 2w
42-28 = 28 28 + 2w
14 = 2w
2 2
7 = w width is 7 meters
32. How to study for math
. Take your homework seriously. If you missed one, know why you missed it.
Correct your quizzes. (even when you dont get points for it)
Work the review sheet like a practice test
(remember the review sheet is not comprehensive)
The night before a test you should look over homework assignments, quizzes, and your review sheet.
33. Tonights Homework Review Worksheet
Check your answers with the Answer Key or on the website.