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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
• 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

## 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

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

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