Writing Expressions and Equations 6 2 3 1

Writing Expressions and Equations 6. 2. 3. 1 Represent real-world or mathematical situations using equations and inequalities involving variables and positive rational numbers.

I can… • • translate words into expressions and vice versa translate words into equations and vice versa Self Assessment 5 - I can do it without help & teach others. 4 - I can do this with no help, but I don’t know if I can explain it. 3 - I can do this with a little help. 2 - I can do this with a lot of help! 1 - I don’t have a clue.

In order to translate a word phrase into an algebraic expression or equation, we must first know some key word phrases for the basic operations.

In your notebook: Addition Subtraction Multiplication Division

Addition Phrases: • • More than Increase by Greater than Add Total Plus Sum

Subtraction Phrases: • • Decreased by Difference between Take Away Less Subtract Less than* Subtract from*

Multiplication Phrases: • • • Product Times Multiply Of Twice or double Triple

Division Phrases: • • Quotient Divided by Split equally

• Multiplication expressions should be written in side-by-side form, with the number always in front of the variable. 3 a 2 t 1. 5 c 0. 4 f

Division expressions should be written using the fraction bar instead of the traditional division sign.

What is the Algebraic Expression for These Word Phrases • Ten more than a number • A number decrease by 5 • 6 less than a number • A number increased by 8 • The sum of a number & 9 • 4 more than a number n + 10 n-5 n-6 n+8 n+9 n+4

What is the Algebraic Expression for These Word Phrases • The product of 5 and a number • The quotient of a number and 6 • 8 multiplied by a number • 24 divided by a number 5 n n 6 8 n 24 n

What is the Algebraic Equation for These Word Phrases • A number x minus 5 equals x – 5 = 12 12 • 15 times a number y is 75 15 y = 75 • A number n added to 4 is 11 4 + n = 11

What is the Algebraic Equation for These Word Phrases • The quotient of a number z z = 10 and 2 is 10 2 • Twelve minus a number t is 2 12 – t = 2

In your notebook: 1. Four cents more than y. y + $0. 04 2. Five dollars less than Yumi’s pay is $124. P - $5. 00 = $124 3. 175 students separated into n classes is 25. 4. A number times four. 4 n 175 = 25 n

I can… • • translate words into expressions and vice versa Translate words into equations and vice versa Self Assessment 5 - I can do it without help & teach others. 4 - I can do this with no help, but I don’t know if I can explain it. 3 - I can do this with a little help. 2 - I can do this with a lot of help! 1 - I don’t have a clue.

12. 1 Notes WRITING EXPRESSIONS & EQUATIONS • an expression is a mathematical phrase that combines numbers, operation signs, and sometimes variables, but does NOT have an equal sign • an equation is a mathematical phrase that combines numbers, operation signs, and sometimes variables, but does have an equal sign