Algebra 2 TAP Fall Review

What is the solution of the system of equations? 

 $x+y=3$  

 $-x+y=3$  

• No solution

• Infinitely many solutions

•  $\left(3,0\right)$  

•  $\left(0,3\right)$  

Which is a factor of 3x² + 10x – 8 = 0?

• (x - 4)
• (2x - 3)
• (x + 6)
• (3x - 2)

Which of the following is the factored   form of x³ – 125?

• (x - 5)³
• (x - 5)(x² + 25)
• (x - 5)(x² + 5x + 25)
• (x - 5)(x² - 5x + 25)

• x = 49
• x = 53
• x = 45
• x = 18

• 36
• 18
• -18
• 27

• x = 2
• x = 4
• x = 7
• x = 9

Simplify the expression:

• 25x²y³
• -5xy² ∛5x
• 5ixy² ∛5x
• -125x³y⁶ ∛5x

• A
• B
• C
• D

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)
• (0,-1)
• (3,4)
• (4,3)