Algebra 1 Final Review 20-21

Solve for y:
3x + 2y = 6

• y = - ³/₂x + 3
• y = ³/₂x + 3
• y = - 3x
• y = x + 3

Simplify:
(5x² +x - 3) - (2x² +3x + 6) 

• 3x² - 2x - 9
• -7x² - 4x - 9
• 3x² + 2x + 9
• 7x² - 2x - 6

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)
• (5x - 9)(5x - 9)
• (5x + 9)(5x + 9)
• Cannot be factored

(4x - 1)(5x−2)

• 20x² + 3x − 2

• 20x² − 11x + 5

• 20x² − 13x + 2

• 20x² − 3x − 2

Factor 

x² + 18x + 81                      

• (x + 9)(x – 9)
• (x + 18)²
• (x + 9)²
• (x + 6)²

Factor by grouping
x³ - 4x² -4x + 16

• (x+4)(x+2)
• (x-4)(x² -4) 
• (x+4)(x² -4)
• (x-4)(x-2)

What is the first step in solving 
(x + 2)(x - 3) = 0      ?

• Plug in zero for x
• Solve for x
• FOIL
• Set each binomial factor equal to zero

 $Solve\ \ \ \ \ n^2+3n=0$  

•  $\left\{-3,0\right\}$  

•  $\left\{3,0\right\}$  

• No Real Solution

•  $\left\{-3,-1\right\}$  

Which of the following inequalities matches the given graph?

• y ≥ 2/5x + 1
• y ≥ -2/5x + 1
• y≤  2/5x + 1
• y ≥ -2/5x - 1

4m + 1 < 5m - 7

• m > 8
• All real numbers
• No Solution
• m < -8