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Algebra - Mixed Practice (Up to Algebraic Expressions)

Lesson Plans > Mathematics > Algebra > Mixed Content
 

Algebra - Mixed Practice (Up to Algebraic Expressions)

This mixed practice worksheet set reviews some of the pre-algebra concepts covered in the previous worksheets, and then introduces some algebra exercises involving expressions

Worksheet 2.1

In this worksheet, students are not required to combine like terms, or use the distributive property.

  • LCM/GCF
  • Fractions
  • Order of Operations
  • Converting phrases to numerical expressions and simplifying
  • Converting phrases to algebraic expressions

Worksheet 2.2

  • Order of Operations with positives, negatives, and fractions
  • Converting phrases to numerical expressions and simplifying
  • Converting phrases to algebraic expressions
  • Combining like terms

Worksheet 2.3

  • Simplifying fractions
  • Adding and subtracting fractions
  • Distributive property (without exponents)
  • Converting phrases to algebraic expressions and simplifying

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 2.1

  1. Find the GCF and LCM of 96 and 144
     
  2. 4
    6
    +
    2
    5
    =
     
  3. 7
    3
    - (-
    1
    4
    ) =
     
  4. 12% of 525 =
     
  5. 500 increased by 30% = 
     
  6. 10 - [22 + 3(2 - 22) +1] =
     
  7. Two less than twice eleven = 
     
  8. Twice the sum of two squared and three squared =
     
  9. Two less than a third the sum of ten and twenty-three = 
     
  10. Five halves of the difference between one and one fifth = 
     
  11. Two more than a number =
     
  12. Five less than a number =
     
  13. Twice the sum of a number and five =
     
  14. A number, plus one more than that number =
     
  15. The cost of 12 pens, if one pen costs n cents =
     
  16. One third of the sum of 5 and a number =
     
  17. The product of a number and two less than that number =
     
  18. The ratio of a number to seven =
     
  19. The age of Chris seven years ago, if he is c years old now = 
     
  20. A number, plus half of that number, minus two thirds of that number = 

Mixed Practice 2.1: Answer Key

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Mixed Practice 2.2

  1. -3 + 2(-1 + 3) - (-4) =
     
  2. 3(-4) - (-2)(-4) + (-3)(-2) = 
     
  3. 1 + (-2) - (-3) + 4 + (-5) - (-6) =
     
  4. -
    2
    3
    (-
    3
    2
    + 1) = 
     
  5. 4 - [-2 - 3(1 + 3(-
    8
    3
    + 1) + 1)] =
     
  6. Two more than three times seven =
     
  7. Two more than three times a number = 
     
  8. Half the sum of twelve and fourteen =
     
  9. Half the sum of a number and eight = 
     
  10. A third of the product of nine and eight = 
     
  11. A third of the product of six and a number = 
     
  12. 3x + 2x - 4x =
     
  13. 2x + 5x - 3 = 
     
  14. 1
    2
    z +
    1
    3
    z +
    1
    2
    n = 
     
  15. 2a - a + 3b - b + c - a =
     
  16. 3x - (-3x) + (-2x) = 
     
  17. x2 + x - 5 + 3x2 - 2x =
     
  18. xy + 3x + 4y + 2xy - x =
     
  19. abc + a2b + b2a +3a2b +ac
     
  20. 2x + 3y - x - 2y - x - y

Mixed Practice 2.2: Answer Key

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Mixed Practice 2.3

Simplify all expressions completely.

  1. 24
    36
    =
     
  2. 18
    30

     
  3. 4
    6
    +
    7
    14

     
  4. 2
    3
    -
    1
    5
    +
    2
    15
    =
     
  5. 2(x + 3) = 
     
  6. 3(x - 5) = 
     
  7. 4(2x +10) = 
     
  8. 1
    2
    (2x + 10) = 
     
  9. 2x(y + 2z - 3) = 
     
  10. 5x(2 - 2y) = 
     
  11. Five less than ten times a number
     
  12. Half of four less than a number
     
  13. A number, plus twice that number
     
  14. A number plus half that number
     
  15. A number plus two more than that number
     
  16. Twice the sum of a number and three
     
  17. Two thirds the difference of a number and 12
     
  18. Eli's age now, plus Eli's age 3 years ago
     
  19. A number, plus two thirds of that number, minus half that number
     
  20. The difference between a number and a third of that number

Mixed Practice 2.3: Answer Key

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