Learn and Practice Algebraic Equations

3x² + 2y – z , where x = 2, y = 1, z = 3
5a² – 3ab + 2b² , where a = 1, b = 2
4p – 3q + 2r , where p = 3, q = 1, r = 2
2x³ + xy – y² , where x = 2, y = 1
7m² – 4mn + n² , where m = 2, n = 3
x² + y² + z² , where x = 1, y = 2, z = 3
3a + 4b – 5c , where a = 2, b = 1, c = 3
2x² – 3xy + y² , where x = 3, y = 2
5p² + pq – q² , where p = 1, q = 4
4x – y + 2z , where x = 2, y = 3, z = 1
a³ – 2ab + b³ , where a = 1, b = 2
3m² + 2mn – n² , where m = 2, n = 1
2p + 3q – r , where p = 1, q = 2, r = 3
4x² – xy + y² , where x = 2, y = 1
5a – 3b + 2c , where a = 3, b = 1, c = 2
x²y – xy² + y² , where x = 2, y = 1
3p³ + 2pq – q³ , where p = 1, q = 2
2x + 3y – z , where x = 2, y = 3, z = 1
a² + b² – 2ab , where a = 3, b = 2
4m – n + 2p , where m = 1, n = 2, p = 3

A. Add Using Row Method
7x² + 5xy – 3y² and 9x² – 2xy + 4y²
8a³ – 5a²b + 3ab² and 4a³ + 7a²b – 2ab²
10p²q + 6pq² – 4q³ and 5p²q – 3pq² + 2q³
12m²n – 8mn² + 3n³ and –6m²n + 5mn² – 2n³
14x³ + 7x²y – 5xy² and –8x³ + 6x²y + 4xy²
9a²b – 4ab² + 3b³ and 3a²b + 7ab² – 2b³
6x³ – 2x²y + 4xy² and –3x³ + 8x²y – 5xy²
15p²q – 8pq² + 6q³ and –10p²q + 12pq² – 4q³
18a³ – 7a²b + 5ab² and –9a³ + 4a²b – 3ab²
11x³ + 9x²y – 8xy² and –5x³ + 3x²y + 6xy²

B. Add Using Column Method
4a³ + 6a²b – 3ab² and 2a³ – 4a²b + ab²
7x³ + 3x²y – 2xy², –5x³ + 6x²y + 3xy², and x³ – 4x²y + y³
9p³ + 5p²q – 4pq² and –6p³ + 2p²q + 5pq²
8m²n + 6mn² – 3n³, 5m²n – 4mn² + 2n³, and –3m²n + 2mn² – n³
12x³ – 9x²y + 3xy² and –7x³ + 6x²y – 4xy²
10a³ – 4a²b + 2ab², –6a³ + 5a²b – b², and 2a³ – 3a²b + 4ab²
15p³ + 8p²q – 5pq² and –9p³ + 3p²q + 2pq²
11x³ – 7x²y + 5xy² and –8x³ + 9x²y – 3xy²
9a²b + 6ab² – 4b³, 3a²b – 2ab² + b³, and –5a²b + 4ab² – 2b³
13p³ – 9p²q + 6pq² and –5p³ + 4p²q – 2pq²

C. Subtract Using Row Method
Subtract 4x³ – 6x²y + 2xy² from 9x³ + 3x²y – y²
Subtract 7a³ – 5a²b + 3ab² from 12a³ + 4a²b – 2ab²
Subtract 10p²q – 4pq² + 2q³ from 15p²q + 7pq² – q³
Subtract 5x³ + 2x²y – 3xy² from 11x³ – 6x²y + 4xy²
Subtract 6a³ – 2a²b + ab² from 9a³ + 5a²b – 3ab²
Subtract 8m³ – 4m²n + 2mn² from 14m³ + 6m²n – n²
Subtract 9x²y – 5xy² + y³ from 12x²y + 4xy² – 3y³
Subtract 15a²b – 7ab² + 3b³ from 20a²b + 9ab² – b³
Subtract 8p³ + 3p²q – 5pq² from 13p³ – 6p²q + 2pq²
Subtract 9x³ – 4x²y + 2xy² from 16x³ + 7x²y – 3xy²

D. Subtract Using Column Method
(7x³ + 3x²y – 2xy²) and (4x³ – 5x²y + y²)
(8a³ – 6a²b + 2ab²) and (5a³ – 3a²b – b²)
(10p³ – 8p²q + 3pq²) and (7p³ – 2p²q – 2pq²)
(9m³ + 7m²n – 3mn²) and (4m³ – 3m²n + 2mn²)
(15x³ – 8x²y + 5xy²) and (9x³ – 4x²y – 3xy²)
(12a³ – 9a²b + 4ab²) and (6a³ – 5a²b – 2ab²)
(11p³ + 9p²q – 5pq²) and (8p³ – 4p²q + q²)
(14m³ – 10m²n + 6mn²) and (9m³ – 3m²n – 2mn²)
(8x³ + 5x²y – 4xy²) and (2x³ – 6x²y + 3xy²)
(7a³ – 4a²b + 2ab²) and (3a³ – 2a²b – b²)

E. Mixed Addition & Subtraction Practice
Add 5x³ + 4x²y – 3xy², 3x³ – 2x²y + 2xy², and subtract 4x³ – x²y + y²
Add 8a³ – 6a²b + 3ab² and 2a³ + 5a²b – 2ab², then subtract 6a³ – 4a²b + ab²
Add 7p³ + 4p²q – 2pq² and 5p³ – 3p²q + q², then subtract 4p³ – 2p²q + 3pq²
Add 10x³ + 6x²y – 3xy², –5x³ + 2x²y + y², and 3x³ – xy² – 2y³
Subtract (4a³ – 2a²b + ab²) from the sum of (9a³ + 5a²b – 3ab²) and (6a³ – 4a²b + 2ab²)
Subtract (5m³ – 4m²n + 2mn²) from the sum of (8m³ + 3m²n – n²) and (7m³ – 2m²n + 4mn²)
Add (9x³ – 6x²y + 3xy²), (5x³ + 4x²y – 2xy²), and (3x³ – x²y + y²)
Subtract (6a³ – 3a²b + 2ab²) from (12a³ + 5a²b – 4ab²)
Add (7p³ + 5p²q – 3pq²) and (9p³ – 4p²q + 2pq²), then subtract (6p³ + 2p²q – 4pq²)
Add (14x³ – 8x²y + 4xy²), (–6x³ + 5x²y – 2xy²), and (3x³ + 2x²y + y²)

Subtract (3x³ + 5x² − 7x + 4) from (8x³ − 2x² + 3x − 5)

From the sum of (2a²b − 3ab² + b³) and (5a²b + ab² − 2b³), subtract (3a²b − 2ab² + b³)

Add (3p²q − 5pq² + 2q³), (4p²q + pq² − q³), and (2p²q − 3pq² + 5q³)

What must be added to (7x³ − 2x² + x − 5) to get (12x³ + 3x² − 4x + 8)

What must be subtracted from (6a³ + 5a² − 3a + 4) to get (2a³ − a² + 4a − 6)

If P = (3x² − 2xy + y²), Q = (x² + xy − 2y²), R = (−2x² + 4xy − y²), find P + Q + R

Subtract (2m³ − 5m²n + 3mn² − n³) from (4m³ + m²n − 2mn² + 5n³)

From the sum of (x³ − 4x² + 3x − 1) and (2x³ + 5x² − x + 7), subtract (3x³ − 2x² + 4x − 6)

Simplify (5a²b − 3ab² + b³) + (2a²b + 4ab² − 3b³) − (3a²b − ab² + b³)

How much less is (7x³ − 2x² + 4x − 5) than (10x³ + x² − 3x + 9)

Add (2p² − 3pq + q² − 4), (p² + pq − 2q² + 3), and (−p² + 2pq + q² − 1)

If A = (x³ − 2x² + x), B = (−x³ + 3x² − 2x + 5), find A + B

What must be added to (4a³ − 3a² + 2a − 1) to get (9a³ + 2a² − 5a + 7)

Subtract (3x²y − 2xy² + y³) from (5x²y + xy² − 2y³)

From the sum of (2a³ + 3a²b − ab² + b³) and (4a³ − 2a²b + 5ab² − 3b³), subtract (a³ + ab² − 2b³)

Add (3x² − 5xy + 2y²), (2x² + xy − y²), and (−x² + 4xy − 3y²)

What must be subtracted from (8p³ − 3p² + 2p − 6) to get (3p³ + 5p² − 4p + 2)

Subtract (4a³b − 2ab² + b³) from (7a³b + 3ab² − 2b³)

From the sum of (x³ + 2x² − x + 5) and (2x³ − 3x² + 4x − 2), subtract (3x³ − x² + 2x − 6)

Simplify (5a²b − 4ab² + 3b³) + (3a²b + 2ab² − b³) − (4a²b − ab² + 2b³)

How much less is (6x³ + x² − 3x + 4) than (9x³ + 2x² + 2x − 1)

Add (2p²q − pq² + q³), (3p²q + 2pq² − 2q³), and (−p²q + 3pq² + q³)

If A = (x³ + y³ − z³), B = (2x³ − y³ + 3z³), find A + B

What must be added to (5a³ − 2a² + a − 4) to get (10a³ + 3a² − 2a + 7)

Subtract (3x²y − xy² + y³) from (6x²y + 2xy² − 2y³)

From the sum of (2x³ − 3x² + 4x − 5) and (x³ + 5x² − 2x + 6), subtract (3x³ − 2x² + x − 4)

Add (3a²b − ab² + 2b³), (4a²b + 2ab² − 3b³), and (−2a²b + ab² + b³)

What must be added to (7p³ − 2p² + p − 3) to get (12p³ + 3p² − 4p + 5)

Subtract (4x³ + 3x² − x + 2) from (9x³ − x² + 5x − 1)

From the sum of (x³ + 2x² − x + 4) and (3x³ − x² + 2x − 5), subtract (2x³ − 3x² + x − 2)

Simplify (5a²b − 3ab² + b³) + (2a²b + 4ab² − 2b³) − (3a²b − ab² + b³)

How much less is (6x³ − 2x² + 4x − 3) than (10x³ + x² − 5x + 6)

Add (2p²q − 3pq² + q³), (3p²q + 2pq² − 2q³), and (−p²q + 4pq² + q³)

If A = (x³ + y³ − z³), B = (−x³ + 2y³ + z³), find A + B

What must be subtracted from (8a³ + 3a² − 2a + 5) to get (5a³ − 2a² + 3a − 4)

Subtract (3x²y − 2xy² + y³) from (7x²y + xy² − 2y³)

From the sum of (2a³ + 3a²b − ab² + 2b³) and (3a³ − a²b + 4ab² − 3b³), subtract (a³ + ab² − b³)

Add (3x² − 4xy + 2y²), (2x² + xy − y²), and (−x² + 5xy − 3y²)

What must be added to (6p³ − 2p² + p − 5) to get (11p³ + 3p² − 4p + 8)

Subtract (4a³b − 3ab² + 2b³) from (8a³b + 2ab² − b³)

From the sum of (x³ + 2x² − x + 3) and (2x³ − 3x² + 4x − 2), subtract (3x³ − x² + 2x − 4)

Simplify (5a²b − 4ab² + 3b³) + (3a²b + 2ab² − b³) − (4a²b − ab² + 2b³)

How much less is (7x³ + 2x² − 3x + 5) than (11x³ − x² + 4x − 1)

Add (2p²q − pq² + 2q³), (3p²q + 2pq² − 3q³), and (−p²q + 3pq² + q³)

If A = (x³ − 2xy² + y³), B = (2x³ + xy² − y³), find A + B

What must be added to (5a³ − 3a² + 2a − 4) to get (10a³ + 2a² − 5a + 7)

Subtract (3x²y − xy² + y³) from (6x²y + 2xy² − 2y³)

From the sum of (2a³ + 3a²b − ab² + b³) and (4a³ − 2a²b + 5ab² − 3b³), subtract (a³ + ab² − 2b³)

Add (3x² − 5xy + 2y²), (2x² + xy − y²), and (−x² + 4xy − 3y²)

What must be subtracted from (8p³ + 2p² − 3p + 6) to get (5p³ − p² + 2p − 2)

A = x2 + 2xy – y2, B = 3x2 – xy + y2, C = 2x2 + xy – 3*y2, find A + B – C

A = 2a2 – ab + b2, B = -a2 + 3ab – 2b2, C = a2 + ab – b2, find A + B + C

A = 3p2 + pq – q2, B = -2p2 + 4pq – q2, C = p2 – 2pq + 3q2, find A + B – C

A = x3 – xy2 + y3, B = 2x3 + 3xy2 – 2y3, C = x3 – 2x*y2 + y3, find A + B + C

A = 2a3 + ab2 – b3, B = -a3 + 3ab2 + 2b3, C = a3 – 2a*b2 + b3, find A + B – C

A = x2y + xy2 – y3, B = 3x2y – 2xy2 + y3, C = 2x2y – xy2 + 2y3, find A + B + C

A = 3p3 – 2p2q + pq2, B = -p3 + 4p2q – 2pq2, C = 2p3 – pq2 + q3, find A + B – C

A = x3 + 2x2y – xy2, B = 2x3 – x2y + 3xy2, C = x3 – xy2 + y3, find A + B + C

A = a2b – ab2 + b3, B = 2a2b + 3ab2 – 2b3, C = a2b – 2ab2 + b3, find A + B – C

A = p2q + pq2 – q3, B = 3p2q – 2pq2 + q3, C = 2p2q – pq2 + 2q3, find A + B + C

A = x2 + xy – y2, B = 2x2 – 3xy + 2y2, C = x2 + 2x*y – y2, find A + B – C

A = 3a2 – 2ab + b2, B = a2 + 4ab – 2b2, C = 2a2 – ab + 3*b2, find A + B + C

A = 2p2 – pq + q2, B = -p2 + 3pq – 2q2, C = p2 – 2p*q + q2, find A + B – C

A = x3 – x2y + xy2, B = 2x3 + xy2 – y3, C = x3 – 2xy2 + y3, find A + B + C

A = a3 + 2a2b – ab2, B = -a3 + 3a2b + b2, C = a3 – 2a2b + ab2, find A + B – C

A = p3 + pq2 – q3, B = 2p3 – pq2 + 2q3, C = p3 – 2pq2 + q3, find A + B + C

A = x2y + xy2 – y3, B = 3x2y – 2xy2 + y3, C = 2x2y – xy2 + 2y3, find A + B – C

A = a2b – ab2 + b3, B = 2a2b + 3ab2 – 2b3, C = a2b – 2ab2 + b3, find A + B + C

A = p2q + pq2 – q3, B = 3p2q – 2pq2 + q3, C = 2p2q – pq2 + 2q3, find A + B – C

A = x3 – xy2 + y3, B = 2x3 + 3xy2 – 2y3, C = x3 – 2x*y2 + y3, find A + B + C

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