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CHAPTER 1 1-1 VARIABLES AND EXPRESSIONS
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VARIABLES AND EXPRESSIONS Objectives: Translate between words and algebraic expressions Evaluate algebraic expressions
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VARIABLES AND EXPRESSIONS VOCABULARY variable: is a letter or symbol used to represent a value that can change. Constant: is a value that does not change. Numerical expression: may contain only constants and/or operations. Algebraic expression: may contain variables, constants and/or operations.
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VARIABLES AND EXPRESSIONS VOCABULARY EXAMPLES Give examples for the following: Variables : Constants: Algebraic Expressions:
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VARIABLES AND EXPRESSIONS DIAGRAM +Plus, sum, increased by, more than __Minus, difference, less than *Times, product,equal group of, multiply by Divided by, quotient Use diagram to help translate algebraic expressions to words
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VARIABLES AND EXPRESSIONS TRANSLATE FROM ALGEBRAIC EXPRESSION TO WORDS I. Give different ways to write each algebraic expression into words Example 1: A)x+5 The sum of x and 5 Five more than x X plus 5 X increased by 5
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TRANSLATE FROM ALGEBRAIC EXPRESSIONS TO WORDS B) m-6 The difference of m and 6 6 less than m m minus 6 C) 3*k The product of 3 and k 3 times k
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TRANSLATE FROM ALGEBRAIC EXPRESSIONS TO WORDS
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VARIABLES AND EXPRESSIONS DIAGRAM Use to help you translate words into algebraic expressions AddPut together, combine SubtractFind how much more or less MultiplyPut together equal groups divideSeparate into equal group
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TRANSLATE WORDS INTO ALGEBRAIC EXPRESSIONS Example 2: A)Evelyn has 2 more years than her sister Adriana. Write and expression for Evelyn’s age. * a+2 B) Sam is 3 years younger than sue, who is y years old. Write an expession for sam’s age. * y-3
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TRANSLATE WORDS INTO ALGEBRAIC EXPRESSIONS Words to look for that will help you with translation additionsum, more SubtractionLess, difference, minus MultiplicationPer, times, product DivisionQuotient, ratio
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TRANSLATING WORDS INTO ALGEBRAIC EXPRESSIONS
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EVALUATING ALGEBRAIC EXPRESSIONS Evaluate: is to find its value. Substitute: to replace To evaluate an algebraic expression substitute the variables in the expression for numbers and then simplify as needed. Hint: Usually they give the numbers you need to substitute the variables for.
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EVALUATING ALGEBRAIC EXPRESSIONS Example 3: Evaluate each expression for x=8, y=2 and z=4 A)x+z x+z= 8+4 * substitute x with 8 and z with 4 = 8+4= 12 simplify
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EVALUATING ALGEBRAIC EXPRESSIONS
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STUDENT PRACTICE Evaluate the following expressions give x=3,y=-7 and z=5 A) xy B) 2x+y C) x-z-y * Check it out 3a-5
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EVALUATING ALGEBRAIC EXPRESSIONS Example 4: Challenge Example 5: Comparing cellphones plans *Lets says company AC has a plan that consists of $35 plan fee for the first 600 minutes plus 10 cents per minute pass the 600 minutes. Company BC has a plan that consists of $25 plan fee for the first 600 minutes plus 25 cents per minute pass the 600 minutes. which plan is less expensive for 800 minutes?
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VARIABLES AND EXPRESSIONS Homework for lesson 1-1 Do 2-16 evens from page 9
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CLOSURE Today we learned about what are variables, translating algebraic expressions into words and vice versa. We also learned about evaluating algebraic expressions. Tomorrow we are going to learn chapter 1-2 solving equations by adding or subtracting
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