 # Warm up Match each of the phrases with its appropriate operation. Operations may be matched more than one.  More than  Decreased by  Product  Quotient.

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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 or double  Triple  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 operation Variable Number (constant) * also include constants and exponents

converting words into math operations & symbols

How do I convert words into math operations & symbols? WORDS Algebraic Expressions Similar to Spanish English (Kennedy's example) me gusta matemáticas! I like math! to

Convert the following into an algebraic expression? (first identify operations (key terms) : less than, plus, the product of, sum, more than…….) Three plus A Answer: 3+A 3 + A

 Convert the following into an algebraic expression? six decreased by Y (also 6 minus y) 6- y Answer: 6-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 Rearrange: 8 x t 8t Answer Same as saying “eight times t” X 8 t Same as

5 ÷ x

Let’s Practice! PhraseExpression 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

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

PhraseExpression five less than twice a number 2n - 5 the product of a number and 6 6n seven divided by twice a number 7 ÷ 2n or three times a number decreased by 11 3n – 11 PhraseExpression the sum of nine and eight 9 + 8 nine decreased by x 9 - x five more than three times x 5 + 3x the product x and 6 6x seven divided by two times x 7/2x 11 less than three times x 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.

Which of the following expressions represents three times a number decreased by twelve? 1. 3x + 12 2. 3x - 12 3. 12 - 3x 4. 12 + 3x Answer Now

Which one of the following expressions represents 28 less than three times a number? 1. 28 - 3x 2. 3x - 28 3. 28 + 3x 4. 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.

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