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Algebra - Mixed Practice (Up to Polynomial Manipulation)

Lesson Plans > Mathematics > Algebra > Mixed Content
 

Algebra - Mixed Practice (Up to Polynomial Manipulation)

In this set of worksheets, we cover material from pre-algebra up to manipulation of polynomials (adding, subtracting, and multiplying). 

Also included is practice with fractions, positives and negatives, nested parentheses, writing expressions, and solving equations.

Scroll down for a listing of all worksheet sets in this series.

 

Worksheet 4.1

  • Positives and Negatives, with variables
  • Fraction manipulation, with variables
  • Writing expressions
  • Adding and subtracting polynomials

Worksheet 4.2

  • Simplifying expressions with nested parentheses
  • Solving equations
  • Adding and subtracting polynomials (including fractional coefficients)
  • Multiplying polynomials

Worksheet Sets in this Series

Worksheets for this section are below the index. Click the "Overview" link to get a more detailed view of the entire series.

Lesson by Mr. Twitchell

Handouts/Worksheets

Mixed Practice 4.1

  1. 3x + (-2x) - (5x) - (-2x) =
     
  2. -2y - 3y + (-y) - (-4y) = 
     
  3. 5z + (-3z) - (2z) =
     
  4. 11w - (-10w) + (-12w) =
     
  5. 1
    3
    x +
    5
    2
    x = 
     
  6. 3
    4
    y -
    1
    2
    y = 
     
  7. -
    2
    5
    z -
    3
    5
    z = 
     
  8. 1
    7
    w - (-
    1
    5
    w) = 

    Write an expression and simplify
     
  9. Seven less than a number 
     
  10. The sum of a number and that number decreased by three  
     
  11. The difference between a number and two less than that number 
     
  12. Five less than a number, increased by four more than that number  
     
  13. Twice the cost of three apples and two oranges

    Perform the operation; write your answer in descending order
     
  14. Add 5x + 2x2 + 3 and 5x2 - 2x + 5
     
  15. Add -3y - 7 + 2y2 and -4y2 + 1
     
  16. Add 1 + 12y3 and 5y2 - 2y
     
  17. Subtract 3x + 10 from 5x5 - 2x + 20
     
  18. Subtract x2 - x + 1 from x2 + x - 1
     
  19. Subtract -3x - 5x2 from 10x + 1
     
  20. Subtract 2x2 + 1 from 3x2 + 3x + 3

Mixed Practice 4.1: Answer Key

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Mixed Practice 4.2

  1. 3x - 2[x - 5(1 + x)] =
     
  2. 10 + (-3)[x - 4(x + (-1))] + 2x =
     
  3. 12x + 3(5 - y) + 2[2x + 3y - (x + y)] =
     
  4. 2(x + y) - 2(x - y) + 4(y - x) = 

    Solve the equations
     
  5. 3x + 2 = 20
     
  6. 2x - 7 = x + 24
     
  7. 2(x + 1) = 3(x - 10)
     
  8. 2 - (x - 2) = 20
     
  9. 1
    3
    (x - 12) = 15
     
  10. 3[x + 2(x - 5)] = 87

    Perform the operation; write your answer in descending order
     
  11. Add
    10
    3
    + 3x and 7 - 2x2 
     
  12. Add 1 +
    1
    2
    x - x2 and 2 -
    2
    3
    x + x2
     
  13. Subtract x + 1 from x3 + x + x2 + 1
     
  14. Subtract
    1
    10
    -
    1
    5
    x from
    1
    3
    x2 +
    2
    5
    +
    1
    10
    x
     
  15. (x + 1)(x - 1) = 
     
  16. (2x + 1)(x2 + x) =
     
  17. (x + 1)(x2 - x + 1) = 
     
  18. (5x - 7)2 = 
     
  19. (x + 1)(x + 1)(x + 1) =
     
  20. (x - 2)(x - 2)(x - 2) =
     

Mixed Practice 4.2: Answer Key

This content is for teachers only, and can only be accessed with a site subscription.

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