Study Guide
Any letter used to represent an unspecified number is called a variable.
You can use variables to translate verbal expressions into algebraic expressions.
Words |
Symbols |
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| The algebraic expression xn represents a product in which each factor is the same. The small raised n is the exponent and it tells how many times the base, x, is used as a factor. | Example: Evaluate: 34 34 = 3 x 3 x 3 x 3 = 81 |
Write a verbal expression for each algebraic expression.
| 1. w - 1 | 2. 1/3 a3 | 3. 81 + 2x |
Write an algebraic expression for each verbal expression.
| 4. a number decreased by 5 | 5. four times a number |
| 6. 8 less than a number | 7. a number divided by 6 |
| 8. a number multiplied by 37 | 9. the sum of a number and 9 |
| 10. 3 less than 5 times a number | 11. twice the sum of 15 and a number |
| 12. 7 more than the product of 6 and a number | 13. 30 increased by 3 times the square of a number |
Write each expression as an expression with exponents.
| 14. 7 x 7 x 7 | 15. 3 x p x p | 16. 9(b)(b)(b)(b)(b) |
Evaluate each expression
| 17. 2 3 | 18. 10 5 | 19. 4 4 |
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