1. Writing Variable Expressions SEI.3.AC.1SLE 1: Solve, with and without appropriate technology, multi-step equations and inequalities with rational coefficients numerically, algebraically and graphically Students will learn to write variable expressions.

2. FHS Equations and Inequalities 2 Words to variables: There are several different words or expressions that mean using the same operation. For adding, what are the different words or expressions we can use: the sum of added to increased by more than plus the sum of 5 and x → 5 + x 5 added to x → x + 5 5 increased by x → 5 + x 5 more than x → x + 5 5 plus x → 5 + x

3. FHS Equations and Inequalities 3 For subtracting, what are the different words or expressions we can use: the difference subtracted from decreased by diminished by less than less minus of 5 and x → 5 – x 5 subtracted from x → x – 5 5 decreased by x → 5 – x 5 diminished by x → 5 – x 5 less than x → x – 5 5 less x → 5 – x 5 minus x → 5 – x Words to variables:

4. FHS Equations and Inequalities 4 For multiplying, what are the different words or expressions we can use: the product times multiplied by For dividing, what are the different words or expressions we can use: the quotient divided by the product of 5 and x → 5x 5 times x → 5x 5 multiplied by x → 5x the quotient of 5 and x → 5 divided by x → Words to variables:

5. FHS Equations and Inequalities 5 Examples: See if you can change these words to a variable expression: The sum of 2 and x The quotient of y divided by 3 2 less a b less than 5 3 times the sum of 2 and w 2 + x 5 – b 2 – a 3 · (2 + w)

6. FHS Equations and Inequalities 6 Variables to words: We also need to be able to change a variable expression into words. Here are some examples: 3 + x x m ore than 3 or the sum of 3 and x o r 3 increased by x or 3 plus x x a dded to 3 or

7. FHS Equations and Inequalities 7 Variables to words: Here are some more examples: 2( x + 5) 3 x – 2 2 times the sum of x a nd 5 or 2 multiplied by the sum of x a nd 5 2 subtracted from the product of x a nd 3 or 3 times x m inus 2 or the product of 3 and x d ecreased by 2