Created for NCVPS

Algebra 1

Add

(3x² - 4x + 8) + (2x - 7x² - 5)

Combine Like Terms

(3x² + -7x²) + (-4x + 2x) + (8 + -5)

(-4x²) + (-2x) + (3)

put it all together so you have

-4x² + -2x + 3 or the Algebra way would be written as -4x² - 2x + 3

Add

(7y² + 2y - 3) + (2 - 4y + 5y²)

Combine Like Terms

(7y² + 5y²) + (2y + -4y) + (-3 + 2)

(12y²) + (-2y) + (-1)

put it all together so you have

12y² + -2y + -1 or the Algebra 1 way would be written as 12y² - 2y - 1

Add

(-3n² - 8 + 2n) + (5n + 12 + n²)

Combine Like Terms

(-3n² + 1n²) + (2n + 5n) + (-8 + 12) 

(-2n²) + (7n) + (-4)

put it all together so you have

-2n² + 7n + -4 or the Algebra 1 way

would be written as -2n² + 7n - 4

Add

(9z - 3z²) + (4z - 7z²)

Combine Like Terms

(-3z² + -7z²) + (9z + 4z)

(-10z²) + (13z)

put it all together so you have

-10z² + 13z

Make sure your answer is in descending order

Add

(5x - 3x⁴ - 7) + (5x⁴ - 9 + 5x)

Combine Like Terms

(-3x⁴ + 5x⁴) + (5x + 5x) + (-7 + -9)

(2x⁴) + (10x) + (-16)

put it all together so you have

2x⁴ + 10x + -16 or the Algebra way would be written as 2x⁴ + 10x - 16

Add

(3x² + 4x) + (x² - 2x)

Combine Like Terms

(3x² + 1x²) + (4x + -2x)

(4x²) + (2x)

put it all together so you have

4x² + 2x

Add

(2x² + x - 8) + (3x - 4x² + 2)

Combine Like Terms

(2x² + -4x²) + (1x + 3x) + (-8 + 2)

(-2x²) + (4x) + (-6)

put it all together so you have

-2x² + 4x + -6 or the Algebra 1 way would be written as -2x² + 4x - 6

Add

(3x² + 5xy) + (xy + 2x²)

Combine Like Terms

(3x² + 2x²) + (5xy + 1xy)

(5x²) + (6xy)

put it all together so we you have

5x² + 6xy

Add

(4xy² - 3x²y - 5xy - 6) + (-5xy² - 2xy + 3)

Combine Like Terms

(-3x²y ) + (4xy² + -5xy²) + (-5xy + -2xy) + (-6 + 3)

(-3x²y) + (-1xy²) + (-7xy) + (-3)

put it all together so you have

-3x²y + -1xy² + -7xy + -3 or the Algebra 1 way would be written as

-3x²y - xy² - 7xy - 3