Semester Review (Algebra I 2)

Simplify:   $\sqrt{20}-\sqrt{5}+\sqrt{45}$  

•  $6\sqrt{5}$  

•  $4\sqrt{5}$  

•  $10\sqrt{5}$  

•  $13\sqrt{5}$  

Simplify:   $\sqrt{3}\left(\sqrt{6}+2\sqrt{12}\right)$  

•  $2\sqrt{3}+12$  

•  $6\sqrt{3}$  

•  $3\sqrt{2}+12$  

•  $3\sqrt{2}+4\sqrt{3}$  

Solve:   $\sqrt{x-9}=4$  

•  $17$  

•  $7$  

•  $12$  

•  $25$  

Simplify:   $\left(5n^2-n-8\right)-\left(3n^2+4n-7\right)$  

•  $2n^2-5n-1$  

•  $2n^2-3n-15$  

•  $2n^2-5n+1$  

•  $2n^2+3n-15$  

The dimensions of a room are represented by a width of  $2x-7$ feet and a length of  $x+4$ feet. Write an expression that represents the area of the room.   

•  $2x^2-15x-28$  

•  $2x^2-x-28$  

•  $2x^2+x-28$  

•  $2x^2-28$  

Factor by grouping:   $6xy-15x-8y+20$  

•  $\left(3y-4\right)\left(2x-5\right)$  

•  $\left(3x-4\right)\left(2y+5\right)$  

•  $\left(3y+4\right)\left(2x-5\right)$  

•  $\left(3x-4\right)\left(2y-5\right)$  

Factor:   $4a^2+11a+6$  

•  $\left(a+8\right)\left(a+3\right)$  

•  $\left(4a+3\right)\left(a+2\right)$  

•  $\left(4a+1\right)\left(a+6\right)$  

•  $4\left(a+3\right)\left(a+8\right)$  

Factor:   $25k^2-9$  

•  $\left(5k-3\right)^2$  

•  $\left(5k-3\right)\left(5k+3\right)$  

•  $\left(25k-1\right)\left(k-9\right)$  

•  $\left(25k+3\right)\left(k-3\right)$  

Solve by factoring:   $x^2+5x-36=0$  

•  $-9\ \&\ 4$  

•  $-8\ \&\ 3$  

•  $-4\ \&\ 9$  

•  $-3\ \&\ 8$  

What is the equation of the quadratic function?

• $y=\left(x-3\right)^2-1$

• $y=\left(x-3\right)^2+1$

• $y=\left(x+3\right)^2-1$

• $y=\left(x+3\right)^2+1$