What Type of Solution to Systems of Equations

What is the type of solution to the system of equations?
y = 1/4x - 3
y = 2/8x - 3

• one solution
• no solution
• infinitely many solutions

Tags

CCSS.8.EE.C.8

What is the type of solution to the system of equations?
y = -2x - 7
y = -2x + 8

• one solution
• no solution
• infinitely many solutions

Tags

CCSS.8.EE.C.8B

What is the type of solution to the system of equations?
y = -x -6
y = 2x + 6

• one solution
• no solution
• infinitely many solutions
• none of the above

Tags

CCSS.8.EE.C.8

What is the slope of the linear equation?
4x + 2y = 12

• m = 4
• m = -2
• m = 2
• m = 12

Tags

CCSS.HSS.ID.C.7

What is the slope-intercept form of the equation:
 -x + y = 3

• -x = y + 3
• y = -x + 3
• y = x + 3
• y = 1/3x + 3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What type of solution will the following system have?

 $3x+2y=6$  

 $6x+4y=12$  

• Infinite solutions

• No solution

• One Solution

• Two Solutions

A system with one solution has...

• Same Slope; Same y-Intercept

• Same Slope; Different y-Intercept

• Different Slopes

• Not Possible

A System with No Solutions has...

• Different Slopes

• Same Slope; Same y-Intercept

• Same Slope; Different y-Intercepts

• All horizontal lines

A system with Infinite Solutions has...

• Different Slopes

• Same Slopes; Same y-Intercepts

• Same Slopes; Different y-Intercepts

• all vertical lines

If one equation of a system is y =  $\frac{2}{5}$  x - 9; ; which could be the second equation of the system with NO Solutions?

• y =  $\frac{2}{5}$  x - 9;

•  $\frac{2}{5}$  x + 3

• y = 5x + 2

• 2x + 5y = 9