Unit 1 Lesson 1 Variables and Expressions Algebra
Unit 1 Lesson 1: Variables and Expressions Algebra 1 CP Mrs. Mongold
A few things to remember… �Multiplication in Algebra is represented in the following ways �The multiplication dot ∙ �By writing things next to each other, 4 x, means 4 times x �Using parentheses, 5(xy), means 5 times xy �A variable is a letter used to represent a value �The number in the monomial 4 x is called the coefficient �In the monomial 3 x 2 the three is the coefficient, the x is the base, and the 2 is the exponent. �(3 x)2 and 3 x 2 are not the same thing
A few things to remember… �Multiplication in Algebra is represented in the following ways �The multiplication dot ∙ �By writing things next to each other, 4 x, means 4 times x �Using parentheses, 5(xy), means 5 times xy �A variable is a letter used to represent a value �The number in the monomial 4 x is called the coefficient �In the monomial 3 x 2 the three is the coefficient, the x is the base, and the 2 is the exponent. �(3 x)2 and 3 x 2 are not the same thing
A few things to remember… �Multiplication in Algebra is represented in the following ways �The multiplication dot ∙ �By writing things next to each other, 4 x, means 4 times x �Using parentheses, 5(xy), means 5 times xy �A variable is a letter used to represent a value �The number in the monomial 4 x is called the coefficient �In the monomial 3 x 2 the three is the coefficient, the x is the base, and the 2 is the exponent. �(3 x)2 and 3 x 2 are not the same thing
A few things to remember… �Multiplication in Algebra is represented in the following ways �The multiplication dot ∙ �By writing things next to each other, 4 x, means 4 times x �Using parentheses, 5(xy), means 5 times xy �A variable is a letter used to represent a value �The number in the monomial 4 x is called the coefficient �In the monomial 3 x 2 the three is the coefficient, the x is the base, and the 2 is the exponent. �(3 x)2 and 3 x 2 are not the same thing
A few things to remember… �Multiplication in Algebra is represented in the following ways �The multiplication dot ∙ �By writing things next to each other, 4 x, means 4 times x �Using parentheses, 5(xy), means 5 times xy �A variable is a letter used to represent a value �The number in the monomial 4 x is called the coefficient �In the monomial 3 x 2 the three is the coefficient, the x is the base, and the 2 is the exponent. �(3 x)2 and 3 x 2 are not the same thing
A few things to remember… �Multiplication in Algebra is represented in the following ways �The multiplication dot ∙ �By writing things next to each other, 4 x, means 4 times x �Using parentheses, 5(xy), means 5 times xy �A variable is a letter used to represent a value �The number in the monomial 4 x is called the coefficient �In the monomial 3 x 2 the three is the coefficient, the x is the base, and the 2 is the exponent. �(3 x)2 and 3 x 2 are not the same thing
A few things to remember… �Multiplication in Algebra is represented in the following ways �The multiplication dot ∙ �By writing things next to each other, 4 x, means 4 times x �Using parentheses, 5(xy), means 5 times xy �A variable is a letter used to represent a value �The number in the monomial 4 x is called the coefficient �In the monomial 3 x 2 the three is the coefficient, the x is the base, and the 2 is the exponent. �(3 x)2 and 3 x 2 are not the same thing
A few things to remember… �Multiplication in Algebra is represented in the following ways �The multiplication dot ∙ �By writing things next to each other, 4 x, means 4 times x �Using parentheses, 5(xy), means 5 times xy �A variable is a letter used to represent a value �The number in the monomial 4 x is called the coefficient �In the monomial 3 x 2 the three is the coefficient, the x is the base, and the 2 is the exponent. �(3 x)2 and 3 x 2 are not the same thing
Definitions �Algebraic Expression: a mathematical sentences expressing numbers and variables using mathematical operations �Variable: Any letter used to represent unspecified numbers or values �Factors: Any numbers or variables being multiplied together �Product: The result of multiplying factors together
Definitions �Algebraic Expression: a mathematical sentences expressing numbers and variables using mathematical operations �Variable: Any letter used to represent unspecified numbers or values �Factors: Any numbers or variables being multiplied together �Product: The result of multiplying factors together
Definitions �Algebraic Expression: a mathematical sentences expressing numbers and variables using mathematical operations �Variable: Any letter used to represent unspecified numbers or values �Factors: Any numbers or variables being multiplied together �Product: The result of multiplying factors together
Definitions �Algebraic Expression: a mathematical sentences expressing numbers and variables using mathematical operations �Variable: Any letter used to represent unspecified numbers or values �Factors: Any numbers or variables being multiplied together �Product: The result of multiplying factors together
To write an algebraic expression � 1. Read the written sentence � 2. Label any given information with a variable or operation sign � 3. Rewrite �See summer review packet for key words
To write an algebraic expression � 1. Read the written sentence � 2. Label any given information with a variable or operation sign � 3. Rewrite �See summer review packet for key words
To write an algebraic expression � 1. Read the written sentence � 2. Label any given information with a variable or operation sign � 3. Rewrite �See summer review packet for key words
To write an algebraic expression � 1. Read the written sentence � 2. Label any given information with a variable or operation sign � 3. Rewrite �See summer review packet for key words
Examples from summer packet � 1. The sum of 9 and a number � 9 + x �OR �x+9
Examples from summer packet � 1. The sum of 9 and a number � 9 + x �OR �x+9
� 2. The difference of a number cubed and twelve �x 3 - 12
� 2. The difference of a number cubed and twelve �x 3 - 12
� 3. A number decreased by 8 �x - 8
� 3. A number decreased by 8 �x - 8
� 4. Three less than 5 times a number � 5 x-3
� 4. Three less than 5 times a number � 5 x-3
� 6. The product of four and x increased by y � 4 x + y
� 6. The product of four and x increased by y � 4 x + y
� 8. A number to the power of five less seven �x 5 - 7
� 8. A number to the power of five less seven �x 5 - 7
� 9. Twice the sum of 15 and a number � 2(15 + x)
� 9. Twice the sum of 15 and a number � 2(15 + x)
Homework �Blue packet page 8/ 1 -26 NO CALCULATORS
- Slides: 38