Writing Algebraic Expressions

How do I convert words into math operations & symbols? WORDS Algebraic Expressions Similar to Spanish English ¡Me gusta matemáticas! I like math!

Convert the following into an algebraic expression. Identify the operation(s) key word(s): less than, plus, sum, etc. Three plus A Answer: 3 + A 3 + A

Convert the following into an algebraic expression. six decreased by 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” or

Five divided by x Answer: 5/x or 𝟓 𝒙 or 5 ÷ x 5 ÷ x *Remember ÷ is also / Answer: 5/x or 𝟓 𝒙 or 5 ÷ x 5 ÷ x

Which of the following expressions represents three times a number decreased by twelve? Answer Now

Which one of the following expressions represents 28 less than three times a number? Answer Now

Let’s Practice! Phrase Expression the sum of nine and eight 9 + 8 nine decreased by x 9 – x five more than three times x 5 + 3x the product of x and 6 6x seven divided by two times x 7 ÷ 2x or 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. 4) twelve more than six times n. 12 + 6n 5) the quotient of x and twelve.

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.