Systems: (x,y) as solution to systems & solutions on graphs

Which substitution would you use to check if (1,9) is a solution to the following system:

y = 6x + 3

y = x + 1

• 9 = 6 (1) + 3 9 = 1 + 1

  9 = 6 + 3 9= 2

  9 = 9

• 1 = 6 (9) + 3 1 = 9 + 1

  1 = 54+ 3 1= 10

  1= 57

Which substitution would you use to check if (2,3) is a solution to the following system:

3x + y= 9

2x + 4y = 16

• 3(x) + y = 9 2(x) + 4(y) = 16

  3(2) + 3 = 9 2(2) + 4(3) = 16

  5 + 3 = 9 4 + 7 = 16

  8 = 9 11 = 16

• 3(x) + y = 9 2(x) + 4(y) = 16

  3(2) + 3 = 9 2(2) + 4(3) = 16

  6 + 3 = 9 4 + 12 = 16

  9= 9 16 = 16

Which substitution would you use to check if (-2,5) is a solution to the following system:

y = -x + 3

y = 4x + 4

• y = -x + 3 y = 4x + 4

  -2 = -1(5) + 3 5 = 4(-2) + 4

  -2 = -5 + 3 5 = -8 + 4

  -2 = -2 5 = -4

• y = -x + 3 y = 4x + 4

  5= -1(-2) + 3 5 = 4(-2) + 4

  5= 2 + 3 5 = -8 + 4

  5 = 5 5 = -4

Which substitution would you use to check if (2,-6) is a solution to the following system:

2x + y = -2

3x + 5y = -15

• 2x + y = -2 3x + 5y = -15

  2(2) + (-6) = -2 3(2) + 5(-6) = -15

  4 - 6 = -2 6 - 11 = -15

  -2 = -2 -15 = -15

• 2x + y = -2 3x + 5y = -15

  2(2) + (-6) = -2 3(2) + 5(-6) = -15

  4 - 6 = -2 6 - 30 = -15

  -2 = -2 -24= -15

What is the solution to the given system?

• (4, -2)

• (-3, 4)

• (4, -3)

• (0,-1)

Tags

CCSS.8.EE.C.8B

What is the solution to the given system?

• parallel lines

• (0,0)

• (5, 7)

• no solution

Tags

CCSS.8.EE.C.8A

What is the solution to the given system?

• (1,3)

• (0,0)

• (2,2)

• no solution

Tags

CCSS.8.EE.C.8B

Which is the correct first step to convert the following equation to slope intercept form?

-2y - x = 6

• add 1x to both sides to get

  -2y = 1x + 6

• add 1x to both sides to get

  -2y = -x + 6

• add 1x to both sides to get

  -2y = 7x

• -2y - x = 6

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Which is the correct first step to convert the following equation to slope intercept form?

5y + 10 = -2x

• subtract 10 from both sides to get

  5y = -2x + 10

• subtract 10 from both sides to get

  5y = -2x -10

• subtract 10 from both sides to get

  5y = -12x

• subtract 10 from both sides to get

  -5y = -2x + 10

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Which is the correct first step to convert the following equation to slope intercept form?

-3x + 7y = 21

• divide both sides by 7 to get:

  -3/7x + y = 3

• add 3x to both sides to get

  7y = 21 - 3x

• add 3x to both sides to get

  7y = 3x + 21

• subtract 3x from both sides to get

  7y = -3x + 21

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3