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Expanding and Simplifying Algebraic Expressions

Expanding and Simplifying Algebraic Expressions. 2(x + 1) + 3( x + 3) = 2 x + 2 + 3 x + 9 = 5 x + 11. x + x = 2 x. 2x - 5 x = -3 x. Four groups of (x - 1). 6 + ( x - 1)(4). 6 + ( x - 1)(4). This is a zero model. 6 + ( x - 1)(4) = 2 + 4 x.

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Expanding and Simplifying Algebraic Expressions

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  1. Expanding and Simplifying Algebraic Expressions 2(x + 1)+ 3(x + 3) = 2x + 2 + 3x + 9 = 5x + 11 x + x = 2x 2x - 5x = -3x

  2. Four groups of (x - 1) 6 + (x - 1)(4)

  3. 6 + (x - 1)(4) This is a zero model.

  4. 6 + (x - 1)(4) = 2 + 4x The simplified expression is 2 + 4x or 4x + 2. How can you use algebra tiles to show that 2 + 4xis the same as4x + 2?

  5. Simplify: • 2x + 3 + 4x - 5 • x - 2x - 4 - 2 • 3 (x - 1) • -2 (x + 2)

  6. Simplify: 1. 2x + 3 + 4x - 5

  7. zero Simplify: = 6x - 2 1. 2x + 3 + 4x - 5

  8. Simplify: 2. x - 2x - 4 - 2

  9. zero Simplify: = -x - 6 2. x - 2x - 4 - 2

  10. Simplify: = 3x - 3 3. 3 (x - 1) How could you get this answer without using algebra tiles?

  11. Simplify: 4. -2 (x - 2) Step 1 2 (x - 2) Step 2 The opposite

  12. Simplify: = -2x + 4 4. -2 (x - 2) 2 (x - 2) -2 (x - 2) How could you get this answer without using algebra tiles?

  13. Steps without algebra tiles -2 (x - 2) + 3 (2x + 1) = -2x + 4 + 6x + 3 = 4x + 7 How could you check your answer to see if it is equivalent to the original expression?

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