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

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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.

• Mixed Practice Overview
• Mixed Practice #1 - Pre-Algebra
• Mixed Practice #2 - Algebraic Expressions
• Mixed Practice #3 - Linear Equations
• Mixed Practice #4 - Polynomial Manipulation
• Mixed Practice #5 - Factoring
• Mixed Practice #6 - Quadratic Equations
• Mixed Practice #7 - Rational Expressions
• Mixed Practice #8 - Systems of Equations
• Mixed Practice #9 - Radical Expressions

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

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

Mixed Practice 2.3

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