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Algebra I

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1) The document defines key algebra terms like variables, expressions, and evaluating expressions. 2) It provides examples of writing algebraic expressions for word phrases like "ten more than a number" and evaluating expressions. 3) The document shows how to complete tables by applying algebraic expressions to input values.

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

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Algebra I

  • 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 2m+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 n + 10 • A number decrease by 5 w-5 • 6 less than a number x-6 • A number increased by 8 n+8 • The sum of a number & 9 n+9 • 4 more than a number y+4
  • 10. Write Algebraic Expressions for These Word Phrases • A number s plus 2 s+2 • A number decrease by 1 k-1 • 31 less than a number x - 31 • A number b increased by 7 b+7 • The sum of a number & 6 n+6 • 9 more than a number z+9
  • 11. Evaluate each algebraic expression when x = 10 •x+8 18 • x + 49 59 •x+x 20 •x-x 0 •x-7 3 • 42 - x 32
  • 12. Complete This Table n n-3 5 2 10 7 21 18 32 29
  • 13. Complete This Table x x+6 5 11 10 16 21 27 32 38
  • 14. Write an Algebraic Expression for These Situations • Scott’s brother is 2 years younger than Scott s-2 • The sum of two numbers is 12 v + c = 12 • The difference between two numbers is 5 m–n=5