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1.1 Variables and Expressions

1.1 Variables and Expressions. Goals I can evaluate a variable expression. I can write variable expressions from word phrases. I can write a variable expression that models a real life situation. A.SSE.1.a Interpret parts of an expression such as terms, factors, and coefficients.

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1.1 Variables and Expressions

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  1. 1.1 Variables and Expressions Goals • I can evaluate a variable expression. • I can write variable expressions from word phrases. • I can write a variable expression that models a real life situation. A.SSE.1.a Interpret parts of an expression such as terms, factors, and coefficients

  2. Section 1.1 – Variables and Expressions Vocabulary: • Variable- a letter or symbol that can be used for a value that can change. • Constant – a number or value that does not change. • Numerical expression – a mathematical phrase that contains only constants and/or operations and NO variables • Algebraic expression – a mathematical phrase that may contain one or more variables, constants, and/or operations

  3. We have to be able to “translate” words into expressions What words indicate a particular operation? Add Subtract Sum Plus More than Increase(d) by Perimeter Deposit Gain Greater than Up (flights of stairs) Total Minus Take away Difference Reduce(d) by Decrease(d) by Withdrawal Less than Fewer (than) Loss of

  4. We have to be able to “translate” words into expressions What words indicate a particular operation? Multiply Divide Times Product Of Twice (×2), double (×2), triple (×3), etc. Half (×½), Third (×⅓), Quarter (×¼) Area (by) Percent (of) Square (times itself 2 times) Cube (times itself 3 times) … to the power of ___ (times itself ___ times) Split into __ parts Cost each Quotient One-half (÷2), Third (÷3), Quarter (÷4) Into Per Percent (out of 100)

  5. 1.1 – Variables and Expressions Let’s try an example of “translating” a phrase into an algebraic expression: Nine more than a number y “more than” means add ? Answer: y + 9

  6. 1.1 – Variables and Expressions Let’s try another example of “translating” a phrase into an algebraic expression: 4 less than a number n “less than” means Subtract n Answer: n – 4. Why not 4 – n?????

  7. 1.1 – Variables and Expressions Let’s try another example of “translating” a phrase into an algebraic expression: A number a divided by 12 a

  8. 1.1 – Variables and Expressions This one is harder…… 5 times the quantity 4 plus a number c

  9. 1.1 – Variables and Expressions • John types 62 words per minute. Write an expression for the number of words he types in m minutes. • Joey earns $5 for each car he washes. Write an expression for the number of cars Joey must wash to earn d dollars.

  10. 1.1 – Variables and Expressions We can use an expression to represent a real life situation. • d = rt (Distance traveled equals rate (speed) multiplied by time traveled.) • I=Prt - Simple interest earned by an amount of money P, at an annual rate r, multiplied by the amount of time (t) in years.

  11. Example You plan to ride your bicycle to school and back at an average rate of 6 miles per hour for a distance of 10.5 miles. How long will it take you?

  12. Example Approximately fourteen 20 ounce plastic bottles must be recycled to produce 1 square foot of carpet. Write an expression for the number of bottles needed to make c square feet of carpet.

  13. Assignment pg. 7 #9-33 odd, 41, 43

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