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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

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

## 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

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

10
3
+ 3x and 7 - 2x2

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

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