The learner will model relationships with variables, equations, and formulas.

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The learner will model relationships with variables, equations, and formulas.

Using Variables Pages 6

Algebra - A language of symbols (variables, numbers, operations) Example: 4(x + y) 2 = 30 Operations: +, -, X, ÷

Variable – a symbol, usually a letter, that represents one or more numbers. Example: x or y Algebraic expression – a mathematical phrase that can include numbers, variables, and operation symbols. Example: 6 + a

Brainstorm!

Write an algebraic expression for each phrase. a. seven more than n b. the difference of n and 7 c. the product of seven and n d. the quotient of n and seven

Write an algebraic expression for each phrase: 1. The quotient of 4.2 and c 2. The difference of t and The sum of 5 and x

Now you try: Define a variable and write an algebraic expression for each phrase: a. 9 less than a number b. The sum of twice a number and 31 c. The product of one half of a number and one third of the same number

Algebraic Equation – a mathematical sentence that uses an equal sign. If the equation is true, then the two expressions on either side of the equal sign represent the same value. In everyday language, the word “is” often suggests an equal sign.

Track One Media sells all CDs for $12 each. Write an equation for the total cost of a given number of CDs.

Now you try: a. Suppose the manager at Track One Media raises the price of each CD to $15. Write an equation to find the total cost of n CDs. b. Suppose the manager at Track One Media uses the equation c = 10.99n. What could this mean?

Reflection (Pick one to write on!) Describe how a variable is used in Algebra. Explain the difference between an algebraic expression and equation? Name at least two words that mean each operation. Write two different verbal expressions for X+7. Translate four more than k is the product of 3 and 7.

Review Five times the sum of two numbers Four less than half a number One-third of the product of two numbers Ten less than twice her age Sixteen is a number divided by three A number decreased by three is 39 Three inches shorter than Taylor