Math Practice Online > free > lessons > Florida > 9th grade > Simplifying Algebraic Expressions 2

These sample problems below for Simplifying Algebraic Expressions 2 were generated by the MathScore.com engine.

## Sample Problems For Simplifying Algebraic Expressions 2

### Complexity=5, Mode=multiply

Simplify the following. Expand to the form ab^c where a and c are numeric and b is a variable name.
 1.   ( 2q 4 )( 9q ) = 2.   ( n 4 )( 10n ) =

### Complexity=5, Mode=exponent

Simplify the following. Expand to the form ab^c where a and c are numeric and b is a variable name.
 1.   ( - 8u -4) 3 = 2.   ( - 3r 3) 3 =

### Complexity=5, Mode=root

Simplify the following. Expand to the form ab^c where a and c are numeric and b is a variable name.
1.
 64s 8
=
2.
 9b 4
=

### Complexity=5

Simplify the following. Expand to the form ab^c where a and c are numeric and b is a variable name.
 1.   ( - 5r )( -r 2 ) = 2.   ( - 6t 3) 1 =

### Complexity=5, Mode=multiply

Simplify the following. Expand to the form ab^c where a and c are numeric and b is a variable name.
1( 2q 4 )( 9q ) =
Solution
 ( 2q 4 )( 9q ) = 2 • q 4 • 9 • q 1 = ( 2 • 9 )( q 4 • q 1 ) = 18 • q4 + 1 = 18q 5
2( n 4 )( 10n ) =
Solution
 ( n 4 )( 10n ) = 1 • n 4 • 10 • n 1 = ( 1 • 10 )( n 4 • n 1 ) = 10 • n4 + 1 = 10n 5

### Complexity=5, Mode=exponent

Simplify the following. Expand to the form ab^c where a and c are numeric and b is a variable name.
1( - 8u -4) 3 =
Solution
 ( - 8u -4) 3 = ( -8 • u -4 )3 = ( -8 )3 • (u -4)3 = -512 • (u -4 * 3) = ( - 8u -4) 3
2( - 3r 3) 3 =
Solution
 ( - 3r 3) 3 = ( -3 • r 3 )3 = ( -3 )3 • (r 3)3 = -27 • (r 3 * 3) = ( - 3r 3) 3

### Complexity=5, Mode=root

Simplify the following. Expand to the form ab^c where a and c are numeric and b is a variable name.
1
 64s 8
=
2
 9b 4
=

### Complexity=5

Simplify the following. Expand to the form ab^c where a and c are numeric and b is a variable name.