P.7 Solving Equations

1.

 $7x\ +\ 4=x+16$  

• x = 2

• x = -2

• x = 4

• x = 4/3

2. Solve.

 $2\left(x-2\right)+3\ =x-3\left(x+1\right)$  

• x = -1/2

• x = 1

• x = 4

• x = -2

3. Solve. $\frac{x+1}{4}=\frac{1}{6}+\frac{2-x}{3}$  

• x = 1

• x = -1

• x = 4

• x = -2

4. Solve $\frac{3}{x+4}-7=\frac{-4}{x+4}$  

• x = -3

• x = 3

• No solution

• All Real Numbers

5. Solve $\frac{2}{x-2}=\frac{x}{x-2}-2$  

• No Solution

• All Real Numbers

• x = -6

• x = 2

6. Solve $\frac{4}{x+5}+\frac{2}{x-5}=\frac{32}{x^2-25}$  

• x = 7

• x = -7

• No Solution

• x = 11/3

7. Solve $\left|x+1\right|=5$  

• x = -6, 4

• x = -6

• x = 4

• x = -4, 4

 $3\left|2x-1\right|=21$  

• x = -3, 4

• x = 3

• x = -4, 4

• x = 11/3

 $\left|x+1\right|+6=2$  

• No Solution

• All Real Numbers

• x = -5, 5

• x = -4

In solving the equation by factoring, what is the first step? $x^2=-11x-10$  

• Set it equal to zero

• Divide by x

• Find two numbers that multiply to -10

• Find two numbers that add to -11