Algebra I engineering mathematics university
- 1. Algebra I Mr. Clutter Villegas Middle School Library 2006-2007
- 2. Definitions • Variable – A variable is a letter or symbol that represents a number (unknown quantity). • 8 + n = 12
- 3. Definitions • A variable can use any letter of the alphabet. • n + 5 • x – 7 • w - 25
- 4. Definitions • Algebraic expression – a group of numbers, symbols, and variables that express an operation or a series of operations. • m + 8 • r – 3
- 5. Definitions • Evaluate an algebraic expression – To find the value of an algebraic expression by substituting numbers for variables. • m + 8 m = 2 2 + 8 = 10 • r – 3 r = 5 5 – 3 = 2
- 6. Definitions • Simplify – Combine like terms and complete all operations m = 2 • m + 8 + m 2 m + 8 • (2 x 2) + 8 4 + 8 = 12
- 7. Words That Lead to Addition • Sum • More than • Increased • Plus • Altogether
- 8. Words That Lead to Subtraction • Decreased • Less • Difference • Minus • How many more
- 9. Write Algebraic Expressions for These Word Phrases • Ten more than a number • A number decrease by 5 • 6 less than a number • A number increased by 8 • The sum of a number & 9 • 4 more than a number n + 10 w - 5 x - 6 n + 8 n + 9 y + 4
- 10. Write Algebraic Expressions for These Word Phrases • A number s plus 2 • A number decrease by 1 • 31 less than a number • A number b increased by 7 • The sum of a number & 6 • 9 more than a number s + 2 k - 1 x - 31 b + 7 n + 6 z + 9
- 11. Evaluate each algebraic expression when x = 10 • x + 8 • x + 49 • x + x • x - x • x - 7 • 42 - x 18 59 20 0 3 32
- 12. Complete This Table n n - 3 5 10 21 32 2 7 18 29
- 13. Complete This Table x x + 6 5 10 21 32 11 16 27 38
- 14. Write an Algebraic Expression for These Situations • Scott’s brother is 2 years younger than Scott • The sum of two numbers is 12 • The difference between two numbers is 5 s - 2 v + c = 12 m – n = 5
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