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Objective The student will be able to: translate verbal expressions into math expressions and vice versa. SOL: A.1 Designed by Skip Tyler, Varina High School What is the area of a rectangle? Length times Width If the length is 3 meters and the width is 2 meters, what is the area? A=LxW A = 3 x 2 = 6 meters2 A, L and W are the variables. It is any letter that represents an unknown number. An algebraic expression contains: 1) one or more numbers or variables, and 2) one or more arithmetic operations. Examples: x-3 3 • 2n 4 1 m In expressions, there are many different ways to write multiplication. 1) 2) 3) 4) 5) ab a•b a(b) or (a)b (a)(b) axb We are not going to use the multiplication symbol any more. Why? Division, on the other hand, is written as: x 1) 3 2) x ÷ 3 Throughout this year, you will hear many words that mean addition, subtraction, multiplication, and division. Complete the table with as many as you know. Addition Subtraction Multiplication Division Here are some phrases you may have listed. The terms with * are ones that are often used. Addition Subtraction Multiplication Division sum* difference* product* quotient* increase decrease times divided plus minus multiplied ratio add subtract more than less than total Write an algebraic expression for 1) m increased by 5. m+5 2) 7 times the product of x and t. 7xt or 7(x)(t) or 7 • x • t 3) 11 less than 4 times a number. 4n - 11 4) two more than 6 times a number. 6n + 2 5) the quotient of a number and 12. x 12 Which of the following expressions represents 7 times a number decreased by 13? 1. 2. 3. 4. 7x + 13 7x - 13 13 - 7x 13 + 7x Answer Now Which one of the following expressions represents 28 less than three times a number? 1. 2. 3. 4. 28 - 3x 3x - 28 28 + 3x 3x + 28 Answer Now Write a verbal expression for: 1) 8 + a. The sum of 8 and a 2) m r . The ratio of m to r Do you have a different way of writing these? Which of the following verbal expressions represents 2x + 9? 1. 2. 3. 4. 9 increased by twice a number a number increased by nine twice a number decreased by 9 9 less than twice a number Answer Now Which of the following expressions represents the sum of 16 and five times a number? 1. 2. 3. 4. 5x - 16 16x + 5 16 + 5x 16 - 5x Answer Now When looking at the expression 103, 10 is called the base and 3 is called the exponent or power. 103 means 10 • 10 • 10 103 = 1000 How is it said? 21 Two to the first power 22 Two to the second power or two squared 23 Two to the third power or two cubed 2n7 Two times n to the seventh power Which of the following verbal expressions represents x2 + 2x? 1. 2. 3. 4. the sum of a number squared and twice a number the sum of a number and twice the number twice a number less than the number squared the sum of a number and twice the number squared Answer Now Which of the following expressions represents four less than the cube of a number? 3 1. 4 – x 2. 4 – 3x 3. 3x – 4 4. x3 – 4 Answer Now Evaluate. 21 2 22 2•2=4 23 2•2•2=8 2n7 We can’t evaluate because we don’t know what n equals to!! Is 35 the same as 53? Evaluate each and find out! 35 = 3 • 3 • 3 • 3 • 3 = 243 53 = 5 • 5 • 5 = 125 243 ≠ 125 They are not the same!