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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.

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Presentation on theme: "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."— Presentation transcript:

1 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 than Briana’s age 3. Twice Briana’s age

2 Drill #2 Write a mathematical expression for the following verbal expressions: 1.Five less than three times the number x 2.Nine more than the product of two and the number d to the third power 3. The area (A) is one-half of the product of the length (l) and the width (w). 4.Density (d) is the quotient of mass (m) and volume (V).

3 1-1 Variables and Expressions Objective: To write mathematical expressions for verbal expressions and to write verbal expressions for mathematical expressions.

4 Translating Math into English How do you translate the following operations into English? Addition Subtraction Multiplication Division

5 Words for Addition* More than Increased by The sum of Is added to Words for Subtraction* Less than Decreased by The difference of Is subtracted from

6 Words for Multiplication* The product of Twice (thrice) a number Is multiplied by Times Words for Division* The quotient of Is divided by Fractions (e.g. one third = divided by 3)

7 (1.) Variables and (2.) Algebraic Expressions ** 1.Variables – Symbols used to represent unspecified numbers or values. Any letter may be used. Examples: x, y, t 2.Algebraic Expression – an expression that consists of one or more numbers and variables together with one or more arithmetic operations. Examples: 3x + 5y + 1m(n)x + y

8 (3.) Factors and (4.) Products ** 3.Factor - Quantity being multiplied Ex: In the algebraic expression 5y, both 5 and y are factors. 4.Product – The result of multiplication. Ex: The product of 3 and 4 is 12.

9 (6.) Power, (7.) Base, and (8.) Exponent ** 6.Power – An expression in the form 7.Base – A number or variable that is being raised to a power. Ex: the variable x in the power above 8.Exponent - The number or variable being raised Ex: the variable n in the power above

10 Representations of powers * SymbolsVerbal ExpressionMeaning 5 to the first power5 5 to the second power or 5 squared 5 * 5 5 to the third power or 5 cubed5 * 5 * 5 5 to the fourth power5 * 5 * 5 * 5 3 times a to the fifth power3 * a * a * a * a * a x to the nth power x * x * x … * x n times

11 (9.) Evaluate** 9.Evaluate: Find the value Ex: Evaluate the following expression:

12 Homework Complete 1-1 Practice (on the back side of 1-1 Study Guide) Due Friday (tomorrow)

13 Notebook check tomorrow 5 Sections (Notes, Vocabulary, Classwork, Homework, Tests/Quizzes) Syllabus and Class Rules in the front Anticipation Guide (Notes) 1-1 Practice (Homework) 9 vocabulary terms (Vocabulary) Addition/Subtraction/Multiplication/Division (Notes) Powers Table (Notes)

14 Names/Numbers of Classmates Write down the names and phone numbers of at least 2 classmates Write them on the back side of the classroom rules


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