Section P.8 Homework

1.  True or false?

(a) Adding the same number to each side of an equation always gives an equivalent equation.

(b) Multiplying each side of an equation by the same non-zero number always gives an equivalent equation.

(c) Squaring each side of an equation always gives an equivalent equation.

2.   Determine whether the given value is a solution of the equation.

$3x+4=8x–6$

a. x= -2

b. x=2

3.  Determine whether the given value is a solution of the equation.

$\frac{x–a}{x–b}=\frac{a}{b}\left(b\ne 0 \right)$

a. x=0

b. x=a

4.  Solve the given linear equation.

$5x+11=16$

5.