Coolmath Algebra by Karen at Coolmath.com
Algebra Crunchers
Coolmath's Algebra Practice Problems-
Solving Equations, Inequalities and Systems:
 
Solving linear equations
Example: Solve x+3=5		 Solving linear equations
Example: Solve 3x=7
Solving linear equations
Example: Solve 2x+5=7		 Solving linear equations
Example: Solve 4x-5=7x+3
Solving linear equations with decimals 1
Example: Solve 4.1x+5.9=7.2		 Solving linear equations with decimals 2
Example: Solve 6.2x-5=7.9x+3.5
Converting inequalities to interval notation
Example: Convert -4<x<6 to (-4,6)		 Converting interval notation to set-builder notation
Example: Convert ( -infinity, 5 ] to { x | x <= 5 }
Solving inequalities
Example: Solve 3x+7<5		 Solving inequalities
Example: Solve 6x-8<5x+3
Solving inequalities
Example: Solve -3<7x-2<9		 Solving absolute value equations
Example: Solve | 3x+4 | = 7
Solving absolute value inequalities
Example: Solve | 2x-5 | < 6		 Solving absolute value inequalities
Example: Solve | 8x+3 | > 2
Solving quadratics by factoring
Example: Solve 6x^2-13x-5=0		 Solving quadratics by factoring with larger numbers
Example: Solve 60x^2-107x-77=0
Solving quadratics using the square root trick
Example: Solve 4x^2-11=0		 Solving quadratics using the quadratic formula
Example: Solve 3x^2-7x+1=0
Completing the square with just an x-squared
Example: Complete the square x^2-6x+10 = ( x-3 )^2+1		 Completing the square with a coefficient in front
Example: Complete the square 2x^2+4x-3 = 2( x+1 )^2-5
Solving systems of equations - 2x2's
Example: Solve 2x-5y=22 and 3x+7y=-25 		Solving systems of equations - 3x3's
Example: Solve x-3y+5z=-14 and 2x+y-6z=20 and 3x-2y+z=0
Determinants - 2x2's
Example: | ( -4, 7 ) ( 5, -2 ) |		 Determinants - 3x3's
Example: | ( -4, 7, -1 ) ( 5, -2, 3 ) ( -6, 0, 8 ) |
Cramer's Rule for solving 2x2 systems
Example: Solve 2x-5y=22 and 3x+7y=-25 		Cramer's Rule for solving 3x3 systems
Example: Solve x-3y+5z=-14 and 2x+y-6z=20 and 3x-2y+z=0
 

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