1. Objective: Translate verbal phrases to number form. Key phrases : Addition: The sum of five and a number 5 + x Six more than a number x + 6 A number plus five x + 5 A number increased by four x + 4 Subtraction: The difference of a number and 7 n - 7 Six less than a number n - 6 Three minus a number 3 - n Two less a number2 - n A number decreased by 8 n - 8 Lesson 1.7

2. Key Phrases: Multiplication: The product of a number x and 66x A number n multiplied by 33n Ten times a number c10c Division: A number h divided by 7 The quotient of 9 and a number n Vocabulary: Mathematical model – The expression,equation,inequality that represents the problem in number form. Verbal model – The word form of the problem.

3. Equations and Inequalities: Mathematical sentence is a math problem with an equal/inequality symbol. Equation - A math problem with an equal symbol. Inequality has more than one solution and uses one of the following inequality symbols: > means greater than < means less than > means greater than or equal to < Means less than or equal to Examples: Five plus six is less than y 5 + 6 < y A number decreased by 6 is greater than or equal to the sum of a number and 10 x – 6 > x + 10 Is – Means Equals

4. Practice Problems: 1. Eleven decreased by four times a number 2. A number increased by ten is twenty-four 3. Twenty–six is the sum of a number and fifteen 4. A number is the product of six and eight 11 – 4x x + 10 = 24 26 = x + 15 x = 6(8) Translate the following

5. Practice Problems: Directions: Write the mathematical model for each problem. 1. eight plus a number 2. the difference of a number and 10 3. nine less a number times four 4. six times a number, increased by four 8 + x m – 10 9 – 4z 6c + 4 Examples: six plus a number times 4 the difference of sixteen and a number five times a number, decreased by eight a number decreased by the sum of 10 and 5 6 + 4x 16 - n 5x - 8 x – (10 + 5)