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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

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**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 = L x W A = 3 x 2 = 6 meters2 A, L and W are the variables. It is any letter that represents an unknown number.

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**An algebraic expression contains:**

1) one or more numbers or variables, and 2) one or more arithmetic operations. Examples: x - 3 3 • 2n

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**In expressions, there are many different ways to write multiplication.**

1) ab 2) a • b 3) a(b) or (a)b 4) (a)(b) 5) a x b We are not going to use the multiplication symbol any more. Why?

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**Division, on the other hand, is written as:**

1) 2) x ÷ 3

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Throughout this year, you will hear many words that mean addition, subtraction, multiplication, and division. Complete the table with as many as you know.

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**Here are some phrases you may have listed. The terms with**

Here are some phrases you may have listed. The terms with * are ones that are often used.

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**Write an algebraic expression for 1) m increased by 5.**

2) 7 times the product of x and t. 7xt or 7(x)(t) or 7 • x • t

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**3) 11 less than 4 times a number.**

4) two more than 6 times a number. 6n + 2 5) the quotient of a number and 12.

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**Which of the following expressions represents 7 times a number decreased by 13?**

Answer Now

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**Which one of the following expressions represents 28 less than three times a number?**

Answer Now

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**Write a verbal expression for: 1) 8 + a.**

The sum of 8 and a 2) The ratio of m to r Do you have a different way of writing these?

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**Which of the following verbal expressions represents 2x + 9?**

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

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**Which of the following expressions represents the sum of 16 and five times a number?**

Answer Now

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**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

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**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

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**Which of the following verbal expressions represents x2 + 2x?**

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

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**Which of the following expressions represents four less than the cube of a number?**

Answer Now

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**We can’t evaluate because we don’t know what n equals to!!**

2 22 2 • 2 = 4 23 2 • 2 • 2 = 8 2n7 We can’t evaluate because we don’t know what n equals to!!

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**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!

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Drill #1 Let B = Briana’s age. Write an algebraic statement that represents the following situations: 1.One year more than Briana’s age 2.5 years less.

Drill #1 Let B = Briana’s age. Write an algebraic statement that represents the following situations: 1.One year more than Briana’s age 2.5 years less.

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