Systems of Equations Quiz Review

What would be the best method to solve the system:

y = 3x + 4

y = -x - 7

• by graphing

• by substitution

• by elimination

What would be the best method to solve the system:

3x - y = 8

x = 2y + 3

• by graphing

• by substitution

• by elimination

Which answer below is a correct answer to the system:

2x + 3y = 9

4x - 5y = 7

• (-3, 3)

• (1, 1)

• (3, 1)

• (2, -5)

Which system below would have no solution?

• y = 3x -8

  y = 8x + 3

• y = 5x - 2

  y = 5x - 2

• y = 2x + 1

  y = -2x - 5

• y = -3x + 7

  y = -3x + 2

What should you multiply by to solve for y? (to cancel the x?)

4x - 5y = -28

3x + 2y = 2

• multiply top by 2 and bottom by 5

• multiply top by -3 and bottom by 4

• multiply top by 6 and bottom by 6

• multiply top by 4 and bottom by 3

Which option below shows the correct substitution:

y = 2x + 5

7x - 2y = -1

• 7(2x+5) - 2y = -1

• 7x - 2(2x + 5) = -1

• 7x - 2y = 2x + 5

What would be the best method to solve the system:

2x + 2y = 10

-3x + 3y = 9

• by graphing

• by substitution

• by elimination

• by guessing

Which answer below is a correct answer to the system?

2x - 3y = -16

4x + 8y = -4

• (1, 1)

• (-5, 2)

• (3, -1)

• (-2, 3)

Which system below would have infinitely many solutions?

• 3x + 5y = 2

  -2x + 2y = 11

• 5x + 8y = 9

  -5x - 8y = 42

• x + 4y = 10

  5x - 3y = -2

• 6x - 3y = 1

  -6x + 3y = -1

What should you multiply by to solve for x? (to cancel the y?)

3x + 4y = -9

-4x - 6y = 12

• multiply top by 3 and bottom by 2

• multiply top by 4 and bottom by 4

• multiply top by -8 and bottom by 6

• multiply top by 4 and bottom by 3