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MathSummer

Mainland High School · CCTT

These web-based activities were developed, during summer sessions from 1997 through 1999, by students at Mainland High School, located in Daytona Beach, FL. As part of Mainland's CCTT grant, the students were given permission by the book's publisher to convert the ancillary materials of the County's adopted Algebra 1 textbook (Glencoe Algebra 1 — ISBN: 9780028253282) into html format.

 

Study Guide:
Variables and Expressions

 

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

4 more than a number
a number decreased by 8
the product of 5 and a number
a number squared
x + 4
b - 8
5 c
h2

 

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 × 3 × 3 × 3

= 81

 

 

Write a verbal expression for each algebraic expression.

1. w - 1 2. 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 × 7 × 7 15. 3 × p × p 16. 9(b)(b)(b)(b)(b)

Evaluate each expression

17. 2 3 18. 10 5 19. 4 4

 

 

Copyright 1997-1999: html adaptation
Career Connection to Teaching with Technology