Objective: Translate verbal phrases to number form.

Key phrases:

Addition: The sum of five and a number 5 + xSix more than a number x + 6

A number plus five x + 5A number increased by four x + 4

Subtraction:The difference of a number and 7 n - 7Six less than a number n - 6

Three minus a number 3 - nTwo less a number 2 - nA number decreased by 8 n - 8

Lesson 1.7

Key Phrases:

Multiplication:The product of a number x and 6 6x

A number n multiplied by 3 3n

Ten times a number c 10c

Division:A number h divided by 7 7

h

The quotient of 9 and a number nn9

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.

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

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

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)