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If two sides of an equation are equal like a= b, then if we add or subtract the same value on both sides still it will be equal.

x = y

x + p = y + p

x – p = y - p

1) Fill in the blank

___- 23 = -17

Answer: 6

2) Add 3x² + 5x + 2 and 4x² +2x +10

Answer: (3x² + 5x + 2) + (4x² +2x +10)

= (3x² + 4x²) + (5x+2x) + (2+10)

= 7x² + 7x +12

3) Simplify (8x² + 9x -3) – (4x² -4x +7)

Answer: 8x² + 9x -3 - 4x² + 4x -7

= (8x² - 4x²) + (9x +4x) – (3 + 7)

= 4x² + 13x – 10

4) Simplify (8x³ +2x + 1) + (6x² - 3x)

Answer: 8x³ + 2x + 1 + 6x² - 3x

= 8x³ + 6x² + (2x – 3x) + 1

= 8x³ + 6x² - x + 1

5) n + 9 = 42, 12 + p = n, Solve for n and p

Answer: n + 9 = 42

n = 33

12 + p = 33

P = 21