Week 3 - Clicker Problems

1. Solve for $x$: $\quad (3x-2)^2 = 16$

A. $x=2$ or $x=-2$
B. $x=2$ or $x=-2/3$
C. $x=-6$ or $x=2$
D. None of the above

1. Solve for $x$: $\quad x^2-1=x$
Which is the smaller of the two solutions?

A. $x=\displaystyle \frac{1-\sqrt{5}}{2}$
B. $x=2$
C. $x=-1$
D. $x=\displaystyle \frac{1+\sqrt{5}}{2}$

1. Solve for $x$: $\displaystyle \quad \frac{8}{x-1} = \frac{5}{x-7}$

A. $x=1$
B. $x=17$
C. $x=2$
D. No solution

1. What value(s) of $x$ must be restricted from the expression $\displaystyle \frac{x-7}{x^2-15x+54}$?

A. $x=7$
B. $x=-6$ and $x=-9$
C. $x=6$ and $x=9$
D. None

1. Solve for $x$: $\displaystyle \quad x+ \frac{2x-1}{x-1} = \frac{3-2x}{x-1}$

A. $x=1$ or $x=-4$
B. $x=-4$
C. $x=4$
D. No solution