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Warm up Match each of the phrases with its appropriate operation. Operations may be matched more than one. More than Decreased by Product Quotient Less than Times Total Divided by Addition Subtraction Multiplication Division Addition Phrases More than Increase by Greater than Add Total Plus Sum Subtraction Phrases Decreased by Difference Take Away Less than Subtract minus Review Addition (+) Subtraction (-) Multiplication (x) Division (÷) Multiplication Phrases Product Times Multiply Twice Triple or double Division Phrases Quotient Divide Divided by half “Equal to” Phrases Is Are Totals Was Were Same as Will be Other Key Terms Algebraic expression- expression built up from numbers and symbols . Is the following an example of an algebraic expression? 2x-1 Variable A letter or symbol that is used to represent an unknown number Identify the variable in the following algebraic expression. 5-2a Term A number, variable, product, or quotient in an expression separated by operational symbols. Ex: There are two terms in the algebraic expression 3n + 5 Coefficient A number in a term with a variable or simply a number in front of a variable. Identify the coefficient in the following algebraic expression. 4x+5 Let’s Define Algebraic Expressions Again! Algebraic expressions are expressions built up of coefficients, variables, terms, and operational symbols. 2 x–1 Coefficient *also include constants and exponents operation Variable Number (constant) converting words into math operations & symbols How do I convert words into math operations & symbols? WORDS Spanish to Algebraic Expressions Similar to to English (Kennedy's example) me gusta matemáticas! I like math! Convert the following into an algebraic expression? Convert the following into an algebraic expression? (first identify operations (key terms) : less than, plus, the product of, sum, more than…….) Three plus A 3 Answer: 3+A + A Convert the following into an algebraic expression? six decreased by Y (also 6 minus y) 6 Answer: 6-y - y Let’s Try Another One Convert the following into an algebraic expression? Six less than Y 6 Y Actually… 6-y is incorrect! The phrase states “six less than y” meaning six “taken away from” y, therefore the correct algebraic expression is……. Y-6 The product of eight and t X 8 Same as Rearrange: 8 x t 8t • Same as saying “eight times t” t Answer Five divided by x 5 *Change ÷ to / ÷ x Answer: 5/x or 𝟓 𝒙 Let’s Practice! Phrase the sum of nine and eight nine decreased by x five more than three times x the product of x and 6 seven divided by two times x 11 less than three times x Expression The sum of nine and eight 9+8 nine decreased by x X-9 five more than three times x the product of x and 6 seven divided by two times x 11 less than three times x Phrase Expression the sum of nine and eight 9+8 nine decreased by x 9 -x Phrase five more than times x five lessthree than twice a number the product of a number and 6 seven divided by twice a number the product x and 6 three times a number decreased by 11 seven divided by two times x 11 less than three times x Expression 5 + 3x 2n - 5 6n 6x 7 ÷ 2n or 3n – 11 7/2x 3x -11 In groups, using the variables, coefficients, and math operations given, write an algebraic expression for…. 1) m increased by 5. m+5 2) 3 times x. 3x 3) twelve less than six times n. 6n - 12 4) twelve more than six times n. 12 + 6n 5) the quotient of x and twelve. x 12 Which of the following expressions represents three times a number decreased by twelve? 1. 2. 3. 4. 3x + 12 3x - 12 12 - 3x 12 + 3x Answer Now Which one of the following expressions represents 28 less than three times a number? 1. 2. 3. 4. 28 - 3x 3x - 28 28 + 3x 3x + 28 Answer Now Additional Practice! Write an algebraic expression for each of the following… 1. Subtract 4 from x. 2. the product of 2 and m 3. Eight more than a twice w. 4. Sixteen less than twice m. 5. Five less than a t. 6. the product of 100 and w 7. Nine less than the product of x and two.