Decide how many real solutions each equation below has. Explain how you know. You may not need to solve the equation. 

1. $4(x - 3) = 11$ 

   Hint (a):

   Can you easily solve for $x$ and find an answer?

   More Help (a):

   How many $x$ values are possible?

   Answer (a):

   One solution. What is your explanation?

2. $x^2 = -10$ 

   Hint (b):

   Try solving for $x$ by square-rooting each side.
   What do you notice?

3. $3x^2 - 18 = 0$ 

   Hint (c):

   See hints from part (a).

4. $-7 =| x - 6 |$ 

   Hint (d):

   What type of number does an absolute value sign make? Positive or negative?

   Answer (d):

   No solution; Absolute value must be positive or zero.