Algebra 2 Midterm Review

What is the solution to the system of equations?

3x + 4y = -12
-5x + y = 20

*type your answer as an ordered pair (x,y) with no spaces!

Solve the following quadratic equation by factoring.

p² + 24 = 10p

Select ALL solutions:

• 4

• -6

• -4

• not factorable

• 6

Solve the quadratic equation by factoring.

6n² + 7n - 5 = 0

What is the SMALLEST solution?

• $\frac{1}{2}$

• $3$

• $\frac{5}{3}$

• $-\frac{5}{3}$

• $-10$

How many solutions does the quadratic equation have?

• one solution

• two solutions

• two imaginary solutions

• infinitely many solutions

How many solutions does the quadratic equation have?

• one solution

• two solutions

• two imaginary solutions

• infinitely many solutions

How many solutions does the quadratic equation have?

• one solution

• two solutions

• two imaginary solutions

• infinitely many solutions

(click on the picture to make the question larger if necessary!)

• A

• B

• C

• D

(click on the picture to make it larger if necessary!)

• A

• B

• C

• D

 $p\left(x\right)=6x-2$   $q\left(x\right)=-3x^2+2x+1$  
Find  $\left(q\cdot p\right)\left(0\right)$  

 $f\left(x\right)=5x^2-7x+2$   $g\left(x\right)=-x^2+8x+11$  
Find  $\left(\frac{g}{f}\right)\left(1\right)$  .