1. Year 1 Warm-Up Simplify the following expressions by combining like terms (answers should be in standard form). 1. 2. 3.

2. Warm-Up Answers 1. 2. 3.

3. Lesson 3.6 Translating Expressions

4. Translating Expressions… When translating expressions, there are certain key words that cue us to use certain operations. Let’s take a look: OperationWords that Imply the Operations Addition Subtraction Multiplication Division Plus, more than, sum, increased (by), gain, more Less than, minus, take away, decreased (by), difference, less, fewer Product, twice, times, triples, square, of Quotient, ratio, half, third, divided by

5. Writing Mathematical Expressions… Using what we know about key words, let’s practice translating the following sentences into numbers and symbols: 1.Forty-four increased by 5 2.The product of three and twenty-five 3.Four less than a number 4.Six less than the product of a number and nine 5.The quotient of a number and negative 12 44 +5 3(25) n - 4 9x - 6 x -12

6. Writing Mathematical Equations… Similarly, we can also translate equations when given a sentence: 1.Thirty more than two times a number is equal to sixteen 2.The difference of eighteen and a number is equal to sixteen 3.Six times the sum of a number and five is ten 4.Seven is equal to four less than the product of a and b 5.Four times the sum of a number and six equals eight 2x + 30 = 16 18 – x = 16 6(x + 5) = 10 7 = ab - 4 4(x + 6) = 8

7. Heads Up! Keep in mind that when you are going from words to symbols and numbers, always go one step at a time and read through the sentence one piece at a time to figure out the order! Example: When we read the sentence “17 less than a number” that tells us we are subtracting 17 from something else…. n - 17

8. Translating also works the other way… What happens if we are given the expression or equation, and we have to come up with the sentence? Same rules apply…use your key words, and work through one word at a time. 1.n + 33 2.8(y + 4) 3.y - 15 4.2y - 7 The sum of a number and thirty-three. Eight times the sum of a number and four. Fifteen less than a number. Seven less than twice a number.

9. Summary Explain why it is important to know how to translate expressions. Homework: 3.5 Worksheet