Math Practice Online > free > lessons > Florida > 9th grade > Simplifying Algebraic Expressions

These sample problems below for Simplifying Algebraic Expressions were generated by the MathScore.com engine.

## Sample Problems For Simplifying Algebraic Expressions

### Complexity=3, Mode=one-var

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x2, type x^2.
 1.   4x - 3 - 5x Simplified: 2.   - 5x - 5 + 3x Simplified:

### Complexity=5, Mode=one-var

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x2, type x^2.
 1.   4x - 8 - 5x + 2 - 5x Simplified: 2.   4x - 6 + 2x + 4x - 3x Simplified:

### Complexity=5, Mode=two-vars

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x2, type x^2.
 1.   x - 8 + 2x - x + x Simplified: 2.   3 + y - 2x - y - x Simplified:

### Complexity=6, Mode=with-exp

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x2, type x^2.
 1.   - 8 - 6 - y 2 - 5y 2 + 8 - 2x 2 Simplified: 2.   - 5x + 3 - 3x - 2x 2 + 4y 2 + 5y 2 Simplified:

### Complexity=7, Mode=with-exp

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x2, type x^2.
 1.   5x 2 + y - 2x - 5 - 6 + 3y 2 + 2y 2 Simplified: 2.   - 4x + x 2 - 5 + 2y - 3y 2 + 2y + y 2 Simplified:

### Complexity=8, Mode=with-exp

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x2, type x^2.
 1.   - 6 + x + 5x + 4 + 5 + 5x 2 - 7 + x Simplified: 2.   - 2y + 2x 2 + 5x 2 + 2 - 5 - 4x 2 + 3x + 5 Simplified:

### Complexity=9, Mode=with-exp

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x2, type x^2.
 1.   3x + 3y 2 - 3 - 7 - 7 - 4x 2 + 2y - 3x + 5x 2 Simplified: 2.   5y + y + 2y 2 + x 2 + 3y - 2x 2 + 4y 2 + 4 - 2x 2 Simplified:

### Complexity=3, Mode=one-var

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x2, type x^2.
14x - 3 - 5x
Simplified:
Solution
4x - 5x = -x
2- 5x - 5 + 3x
Simplified:
Solution
- 5x + 3x = - 2x

### Complexity=5, Mode=one-var

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x2, type x^2.
14x - 8 - 5x + 2 - 5x
Simplified:
Solution
4x + - 5x = -x
- 8 + 2 = - 6
24x - 6 + 2x + 4x - 3x
Simplified:
Solution
4x + 2x + 4x = 10x

### Complexity=5, Mode=two-vars

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x2, type x^2.
1x - 8 + 2x - x + x
Simplified:
Solution
x + 2x + -x + x = 3x
23 + y - 2x - y - x
Simplified:

### Complexity=6, Mode=with-exp

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x2, type x^2.
1- 8 - 6 - y 2 - 5y 2 + 8 - 2x 2
Simplified:
Solution
- 8 + - 6 + 8 = - 6
-y 2 + - 5y 2 = - 6y 2
2- 5x + 3 - 3x - 2x 2 + 4y 2 + 5y 2
Simplified:
Solution
- 5x + - 3x = - 8x
4y 2 + 5y 2 = 9y 2

### Complexity=7, Mode=with-exp

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x2, type x^2.
15x 2 + y - 2x - 5 - 6 + 3y 2 + 2y 2
Simplified:
Solution
- 5 + - 6 = - 11
3y 2 + 2y 2 = 5y 2
2- 4x + x 2 - 5 + 2y - 3y 2 + 2y + y 2
Simplified:
Solution
2y + 2y = 4y
- 3y 2 + y 2 = - 2y 2

### Complexity=8, Mode=with-exp

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x2, type x^2.
1- 6 + x + 5x + 4 + 5 + 5x 2 - 7 + x
Simplified:
Solution
- 6 + 4 + 5 + - 7 = - 4
x + 5x + x = 7x
2- 2y + 2x 2 + 5x 2 + 2 - 5 - 4x 2 + 3x + 5
Simplified:
Solution
2x 2 + 5x 2 + - 4x 2 = 3x 2
2 + - 5 + 5 = 2

### Complexity=9, Mode=with-exp

Simplify the expression and order your answer based on alphabetical letter and magnitude. For x2, type x^2.
13x + 3y 2 - 3 - 7 - 7 - 4x 2 + 2y - 3x + 5x 2
Simplified:
Solution
3x + - 3x = 0x
0x = 0
- 3 + - 7 + - 7 = - 17
- 4x 2 + 5x 2 = 1x 2