Algebra 20/21 Final Exam Practice 2

What is the x and y intercept for the following equation ?
4x - 10y = 20

• x - int = 4    
  y-int = -10
• x-int = 5
  y-int = 2
• x - int = 5
  y int = -2
• x -int = 4
  y -int = -10

Determine the y-intercept for the following equation
4x + 2y = -12

• 4
• -6
• -12
• 2

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

• No solution

• (1, 2)

• (3, 0)

• (2, 1)

Determine how many solutions this system has.

• One Solution
• No solution
• Infinitely Many Solutions
• What is a solution?

Which of the following is NOT a method to solve systems?

• Elimination
• Distribution
• Substitution
• Graphing

Solve the system of equations
  4x+8y=20
-4x+2y=-30

• (-7,1)
• (2,-5)
• (-2,5)
• (7,-1)

Solve for x and solve for y
3x  - 3y = 33
6x - 3y = 57

• (8,-3)
• (-3,8)
• (10,1)
• (10,-1)

Simplify
(4x³ -3x² + 6x - 4) - (-2x³ + x² -20)

• 4x² - 6x³ - 2x + 6
• 3x + 5x² + 1
• 6x³ -4x² + 6x +16
• 3x + 2

Multiply:
(3x – 1)(x + 5) 

• 3x² + 4x + 5
• 3x² + 4x - 5
• 3x² + 14x + 5
• 3x² + 14x - 5

 Multiply:     (r + 7)(r − 7) 

• r ² − 49 
• r ² + 14
• r ² − 7r + 49