Variables expressions
- 1. Variables & Expressions 1-1
- 2. Vocabulary: variables algebraic expressions factors product power base exponent evaluate
- 3. In the algebraic expression 4s, the letter s is called a variable. In algebra, variables are symbols used to represent unspecified numbers or values. Any letter may be used as a variable. An algebraic expression consists of one or more numbers and variables along with one or more operations. Here are some examples of algebraic expressions. 5x 3x-7 4+p/q m x 5n 3ab/5cd In each expression, the quantities being multiplied are called factors , and the result is called the product .
- 4. Write Algebraic Expressions a. five less than the number c c-5 b. the sum of 9 and 2 times the number d 9+2d c. two-thirds of the original volume v 2/3v
- 5. An expression like x^n is called a power and is read "x to the nth power." The variable x is called the base, and n is called the exponent. The exponent indicates the number of times the base is used as a factor. Symbols Words Meaning 3^1 3 to the first power 3 3^2 3 squared 3*3 3^3 3 cubed 3*3*3 3^4 3 to the fourth power 3*3*3*3 3^5 3 to the fifth power 3*3*3*3*3 3^6 3 to the sixth power 3*3*3*3*3*3
- 6. Write each expression algebraically: a. the product of 3/4 and a to the seventh power 3/4a^7 b. the sum of 11 and x to the third power 11+x^3
- 7. Evaluate Powers: a. 3^4 81 b. 8^2 64
- 8. Write Verbal Expressions: a. 8x^2 5 the quotient of 8 times x squared and 5 b. y^5 - 16y the difference of y to the fifth power and 16 times y