Linear Equations

1. Determine which of the x values are solutions of the equation x⁴ + x³ - 5x² + x - 6 = 0.
a) x = -3, b) x = -2, c) x = 1, d) x = 2

2. Determine whether the equation - 5(x+2) +2 = -3x + 5 is true for all values of x (and hence an identity) or if is true for only some values of x (and hence a conditional equation.)

3. Determine whether the equation - 4(x-3) + 7x = 3(x+4) is true for all values of x (and hence an identity) or if is true for only some values of x (and hence a conditional equation.)

Solve the equation if possible and check your solution:

4. 7x - 1 = 3(x + 5)

5. 5[x - (3x + 2)] = 9 - 5x

6. 1.4x - .8 = .3(4 - 5x)

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Solve for x:

13. 5(x+2) + ax = 5 - x

14. 6 - bx = 15 + cx

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