One Step Linear Equations
Two Step Linear Equations
Your Math Teachers
Number of solutions
Number of Solutions (L4)
100

-3x = 15

x = -5

100

2x + 4 = 10

x = 1

100

Ms. D and Ms. Ringquist went to this same college (10 years apart)

University of Vermont (UVM)

100

What does the work below show about the solution for the equations y = x + 2 and y = x + 8

x + 2 = x + 8

2 = 8

no solution; the lines are parallel

100

Find the solution for the equations 

y = 10 + 6x and y = 15 + 9x - 3x

no solution; the lines are paralle

200

x -2 = -12

x = -10

200

-3x + 4 = 16

x = -4

200

While Ms. Ringquist grew up in VT Ms. D grew up in this southern US state.

Florida

200

What does the work below show about the solution for the equations y = 6(x + 3) and y = 6x + 18

6(x+3) = 6x + 18

6x + 18 = 6x + 18

18 = 18

infinitely many solutions; they are the same line

200

Find the solution for the equations 

2y + 8x = 2 and y = -4x - 5

no solution; lines are parallel

300

-x = 14

x = -14

300

-3x - 8 = -20

x = 4

300

Ms. D and Ms. Ringquist both have this many siblings

1

300

Find the solution for the equations 

y = 2x + 4 and y = -3x + 4

(0,4)

300

Find the solution for the equations 

y = 3 + x and 2x - 2y = -6

infinitely many solutions
400

x/5 = 4

x = 20

400

23 = x/3 + 26

x = -9

400

Combined, Ms. D and Ms. Ringquist have this many children

1

400

Find the solution for the equations 

y = 2x + 5 and y = 2(x + 4)

No solution; the lines are parallel

400

Find the solution for the equations 

y = 1 + x and 3x + y = 9

(2 , 3)

500

1/2 x = -12

x = -24

500

2x - 12 = 5

x = 8.5 or 17/2

500

Ms. D and Ms. Ringquist traveled to this state together for a math conference.

Michigan

500

Find the solution for the equations 

y = x + 3 and y = 2(x - 9)

(21 , 24)

500

Find the solution for the equations 

2x - y = -4 and x - y = -1

(-3 , -2)