Practice & Solve Algebraic Equations: Step-by-Step

Add Using Row Method
5x² + 3xy – 2y² and 7x² – 5xy + y²
9a² – 4ab + 6b² and -3a² + 5ab – 2b²
8p² + 2pq – 3q² and 4p² – pq + q²
12x + 7y – 5z and -8x + 3y + 6z
15m – 8n + 6p and -10m + 12n – 4p
6x² + 4xy + 2y² and -2x² + 5xy – 3y²
10a² – 7ab + 9b² and 3a² + 6ab – 5b²
14p – 6q + 3r and -8p + 4q – 2r
7x² + 5xy – 4y² and 9x² – 2xy + y²
11a + 9b – 7c and -5a + 3b + 2c

Add Using Column Method
5x² – 3xy + 2y² and 3x² + 4xy – y²
9a² + 2ab – b², -6a² + 5ab + b², and 2a² – 3ab + 4b²
8m² + 6mn – 5n² and -3m² + 4mn + n²
x² + 2xy + 3y², 4x² – 5xy + y², and 2x² + 3xy – 4y²
12p² – 7pq + 3q² and -6p² + 9pq – q²
5a² + 3ab – 4b², -2a² + 4ab + b², and a² – 3ab + 2b²
9x² + 7xy – 3y² and -4x² – 2xy + y²
3m² – 2mn + 5n² and 7m² + 4mn – 3n²
8p² – 6pq + 4q², 2p² + 3pq – 5q², and -3p² + pq + q²
11x² + 8xy – 2y² and -5x² – 6xy + 3y²

Subtract Using Row Method
Subtract 3x² – 5xy + 2y² from 8x² + 4xy – y²
Subtract 7a – 3b + 4c from 12a + 5b – 8c
Subtract 9p² – 2pq + q² from 11p² + 6pq – 3q²
Subtract 15m – 7n + 3p from 20m + 4n – 5p
Subtract 4x² – 2xy + y² from 10x² + xy – 2y²
Subtract 8a² + 3ab – 6b² from 14a² – 2ab + b²
Subtract 5p² – 4pq + 3q² from 9p² + 2pq – q²
Subtract 6x² + 5xy – 4y² from 10x² – 3xy + y²
Subtract 9a – 4b + 3c from 15a + 6b – 7c
Subtract 12m² + 8mn – 3n² from 20m² – 5mn + 2n²

Subtract Using Column Method
(6x² + 3xy – 4y²) and (2x² – 5xy + y²)
(8a² – 6ab + 3b²) and (4a² – 2ab – b²)
(10p² – 7pq + 5q²) and (3p² + 2pq – 4q²)
(9x² + 8xy – 2y²) and (4x² – 3xy + y²)
(15a + 7b – 5c) and (8a – 3b + 2c)
(12m² – 5mn + 3n²) and (7m² + 2mn – n²)
(11x² – 9xy + 6y²) and (5x² – 4xy – 2y²)
(14a² – 8ab + 4b²) and (9a² – 3ab – b²)
(8p² + 5pq – 2q²) and (3p² – 2pq + q²)
(7x² + 6xy – y²) and (2x² – 4xy + 3y²)

2x² + 5y – 3z , where x = 1, y = 2, z = 1

4a² + 3ab – b² , where a = 2, b = 1

3p³ – 2pq + q² , where p = 1, q = 2

5m² – mn + 2n² , where m = 2, n = 3

x³ + 2xy – y² , where x = 3, y = 1

6a – 2b + 3c , where a = 1, b = 2, c = 3

3x² – xy + 4y² , where x = 2, y = 1

2p² + 5pq – q² , where p = 1, q = 3

4m³ – 3mn + n² , where m = 1, n = 2

x² + 2y² – z² , where x = 2, y = 1, z = 3

3a² – 4ab + b² , where a = 1, b = 2

5p – 2q + r , where p = 2, q = 1, r = 3

2x³ – 3x²y + y³ , where x = 1, y = 2

4m² + 3mn – n² , where m = 3, n = 1

x²y + xy² – y² , where x = 2, y = 3

3a³ – 2ab + b³ , where a = 1, b = 2

2p² + 3pq – q² , where p = 2, q = 1

5x – 4y + 3z , where x = 1, y = 2, z = 3

x³ + y³ – 3xy² , where x = 2, y = 1

4a² – 2ab + b² , where a = 3, b = 2

Mixed Add & Subtract Practice
Add 3x² + 4xy – 2y², -x² + 3xy + y², and subtract 2x² – xy + 4y²
Add 7a² – 5ab + 3b² and 2a² + 4ab – b², then subtract 4a² – 3ab + 2b²
Add 8p² + 6pq – 5q² and 3p² – 2pq + q², then subtract 5p² + pq – 4q²
Add 10x² + 7xy – 3y², -4x² + 2xy + y², and 3x² – xy – 2y²
Subtract (5a² – 3ab + 4b²) from the sum of (7a² + 4ab – 2b²) and (3a² – 2ab + b²)
Subtract (6m² – 4mn + 3n²) from the sum of (8m² + 2mn – n²) and (5m² – mn + 4n²)
Add (9x² – 6xy + 3y²), (5x² + 4xy – 2y²), and (3x² – xy + y²)
Subtract (4a² – 3ab + 2b²) from (10a² + 5ab – 7b²)
Add (7p² + 5pq – 2q²) and (9p² – 3pq + q²), then subtract (4p² + 2pq – 3q²)
Add (12x² – 8xy + 4y²), (-6x² + 5xy – 2y²), and (3x² + 2xy + y²)

Add 3x² + 4xy – 2y², -x² + 3xy + y², and subtract 2x² – xy + 4y²

Add 7a² – 5ab + 3b² and 2a² + 4ab – b², then subtract 4a² – 3ab + 2b²

Add 8p² + 6pq – 5q² and 3p² – 2pq + q², then subtract 5p² + pq – 4q²

Add 10x² + 7xy – 3y², -4x² + 2xy + y², and 3x² – xy – 2y²

Subtract (5a² – 3ab + 4b²) from the sum of (7a² + 4ab – 2b²) and (3a² – 2ab + b²)

Subtract (6m² – 4mn + 3n²) from the sum of (8m² + 2mn – n²) and (5m² – mn + 4n²)

Add (9x² – 6xy + 3y²), (5x² + 4xy – 2y²), and (3x² – xy + y²)

Subtract (4a² – 3ab + 2b²) from (10a² + 5ab – 7b²)

Add (7p² + 5pq – 2q²) and (9p² – 3pq + q²), then subtract (4p² + 2pq – 3q²)

Add (12x² – 8xy + 4y²), (-6x² + 5xy – 2y²), and (3x² + 2xy + y²)

Add (5a² + 3ab – b²), (2a² – 4ab + 3b²), and subtract (3a² + ab – 2b²)

Add (6x² – 2xy + y²) and (4x² + 3xy – 2y²), then subtract (5x² – xy + 3y²)

Add (8p² + 7pq – 3q²), (-3p² + 2pq + q²), and subtract (4p² – pq + 2q²)

Add (9a² + 5ab – 2b²), (6a² – 4ab + 3b²), and subtract (7a² – 2ab + b²)

Subtract (5x² – 3xy + 2y²) from the sum of (8x² + xy – y²) and (3x² – 2xy + 4y²)

Subtract (6p² – 4pq + 3q²) from the sum of (9p² + 2pq – q²) and (5p² – pq + 4q²)

Add (7x² + 6xy – 3y²), (3x² – 2xy + y²), and subtract (4x² + xy – 2y²)

Subtract (8a² – 5ab + 3b²) from (12a² + 4ab – 6b²)

Add (9p² + 7pq – 4q²) and (5p² – 2pq + 3q²), then subtract (6p² + pq – 2q²)

Add (10x² – 6xy + 5y²), (-5x² + 4xy – y²), and (3x² + xy + 2y²)

Add (6a² + 3ab – 2b²), (4a² – ab + 3b²), and subtract (5a² + 2ab – b²)

Add (7x² – 4xy + 3y²) and (6x² + 5xy – 2y²), then subtract (8x² – 2xy + y²)

Add (9p² + 4pq – 3q²), (-4p² + pq + 2q²), and subtract (5p² – 2pq + q²)

Add (8a² + 5ab – 3b²), (3a² – 2ab + 4b²), and subtract (6a² + ab – 2b²)

Subtract (7x² – 3xy + y²) from the sum of (10x² + 4xy – 2y²) and (5x² – 2xy + 3y²)

Subtract (6p² – 5pq + 2q²) from the sum of (9p² + 3pq – q²) and (4p² – pq + 2q²)

Add (10x² + 8xy – 5y²), (-6x² + 3xy + 2y²), and subtract (4x² – xy + 3y²)

Subtract (8a² – 4ab + 3b²) from (12a² + 5ab – 2b²)

Add (7p² + 6pq – 4q²) and (5p² – 3pq + 2q²), then subtract (4p² + 2pq – q²)

Add (9x² + 7xy – 3y²), (-5x² + 2xy + y²), and (3x² – xy – 2y²)

Add (6a² + 4ab – 2b²), (3a² – ab + b²), and subtract (5a² + 2ab – b²)

Add (8p² – 5pq + 3q²), (4p² + 3pq – 2q²), and subtract (6p² – 2pq + q²)

Subtract (7x² – 4xy + 2y²) from the sum of (10x² + 5xy – y²) and (3x² – 2xy + 3y²)

Subtract (6a² – 3ab + b²) from the sum of (9a² + 4ab – 2b²) and (5a² – 2ab + 3b²)

Add (7p² + 6pq – 3q²), (-3p² + 2pq + q²), and subtract (4p² – pq + 2q²)

Add (10x² + 5xy – 4y²) and (6x² – 2xy + 3y²), then subtract (7x² + xy – 2y²)

Add (8a² + 3ab – 2b²), (5a² – 4ab + 3b²), and subtract (6a² + 2ab – b²)

Subtract (7p² – 5pq + 2q²) from the sum of (10p² + 4pq – q²) and (3p² – 2pq + 3q²)

Subtract (6x² – 3xy + y²) from the sum of (9x² + 2xy – 2y²) and (5x² – xy + 3y²)

Add (7a² + 5ab – 3b²), (4a² – 2ab + b²), and subtract (5a² + ab – 2b²)

Add (9p² – 6pq + 4q²), (-4p² + 3pq – q²), and subtract (5p² – 2pq + 2q²)

Add (10x² + 7xy – 5y²) and (6x² – 3xy + 2y²), then subtract (8x² + 2xy – 3y²)

Add (8a² + 4ab – 3b²), (5a² – 2ab + 2b²), and subtract (6a² + ab – b²)

Subtract (7p² – 4pq + 3q²) from the sum of (10p² + 5pq – 2q²) and (3p² – 3pq + q²)

Subtract (6x² – 2xy + y²) from the sum of (9x² + 4xy – 3y²) and (5x² – xy + 2y²)

Add (7a² + 6ab – 4b²), (4a² – 3ab + 2b²), and subtract (5a² + 2ab – b²)

Add (8p² + 5pq – 3q²) and (6p² – 2pq + 2q²), then subtract (7p² + pq – 2q²)

Add (9x² + 7xy – 4y²), (-5x² + 3xy + y²), and subtract (4x² – xy + 2y²)

If A = (x³ − 2xy² + y³), B = (2x³ + xy² − y³), find A + B
If P = (3a²b − ab² + b³), Q = (−a²b + 4ab² − 2b³), find P + Q
If M = (5x²y − 3xy² + y³), N = (−2x²y + 4xy² − y³), find M + N
If A = (2p³ − pq² + q³), B = (3p³ + 2pq² − 2q³), find A + B
If X = (4x³ − 5x²y + xy²), Y = (−x³ + 3x²y − 2xy²), find X + Y
If A = (6a³ + 2a²b − b³), B = (−3a³ + 4a²b + 2b³), find A + B
If P = (7p³ − 3p²q + 2pq²), Q = (−2p³ + 5p²q − pq²), find P + Q
If M = (x³ + 2xy² − y³), N = (−4x³ + xy² + 3y³), find M + N
If A = (3a³ − 4a²b + 5ab²), B = (−a³ + 2a²b − 3ab²), find A + B
If X = (5x³ − 2x²y + 3xy²), Y = (−3x³ + 4x²y − xy²), find X + Y
If A = (2p³ + 3p²q − 4pq²), B = (p³ − 2p²q + 3pq²), find A + B
If M = (4x³ − xy² + y³), N = (−2x³ + 3xy² − 2y³), find M + N
If A = (5a³ − 2a²b + ab²), B = (−3a³ + 4a²b − 2ab²), find A + B
If P = (6p³ + pq² − q³), Q = (−4p³ + 2pq² + 2q³), find P + Q
If X = (3x³ − 5x²y + 2xy²), Y = (2x³ + 3x²y − xy²), find X + Y
If A = (2a³ + 4a²b − 3ab²), B = (−a³ + 3a²b − ab²), find A + B
If M = (7p³ − 2p²q + 5pq²), N = (−3p³ + 4p²q − 2pq²), find M + N
If X = (x³ + xy² − y³), Y = (−2x³ + 3xy² + 2y³), find X + Y
If A = (4a³ − 3a²b + 2ab²), B = (−2a³ + 5a²b − ab²), find A + B
If P = (5p³ + 2p²q − 3pq²), Q = (−3p³ + 4p²q + pq²), find P + Q

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