Lesson 1 7 Objective Translate verbal phrases to
Lesson 1. 7 Objective: Translate verbal phrases to number form. Key phrases: Addition: The sum of five and a number Six more than a number A number plus five A number increased by four 5+x x+6 x+5 x+4 Subtraction: The difference of a number and 7 n - 7 n-6 Six less than a number Three minus a number Two less a number A number decreased by 8 3 -n 2 -n n-8
Key Phrases: Multiplication: The product of a number x and 6 6 x A number n multiplied by 3 3 n Ten times a number c Division: 10 c 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.
Equations and Inequalities: Mathematical sentence is a math problem with an equal/inequality symbol. Equation - A math problem with an equal symbol. Is – Means Equals 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
Practice Problems: Translate the following 1. Eleven decreased by four times a number 11 – 4 x 2. A number increased by ten is twenty-four x + 10 = 24 3. Twenty–six is the sum of a number and fifteen 26 = x + 15 4. A number is the product of six and eight x = 6(8)
Examples: six plus a number times 4 6 + 4 x the difference of sixteen and a number 16 - n five times a number, decreased by eight a number decreased by the sum of 10 and 5 5 x - 8 x – (10 + 5) Practice Problems: Directions: Write the mathematical model for each problem. 1. eight plus a number 8+x 2. the difference of a number and 10 m – 10 3. nine less a number times four 9 – 4 z 4. six times a number, increased by four 6 c + 4
- Slides: 5