Systems of Equations and Inequalities

The solution of a system of linear equations is...

• the y-intercept (b)
• the intersection of the two equations on a graph
• the second equations' answers
• the slope (m)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

solve by substitution: y=3x+14
y=-4x

• y=3
• y=1
• y= - 2
• y=4

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

What is the solution to this system of equations?

• (4, -1)
• (-1, 4)
• (-4, 1)
• (-4, -1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.HSA.REI.C.6

When both lines in a system are identical, the system has __________________.

• infinite solutions

• one solution

• no solution

• parallel solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

What point is on both lines? Meaning what is the solution?

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

y = -6x + 5
-2x + y = 5

• (-3, -6)
• (-6, 3)
• (0, 5)
• (-3, 5)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Match the following

• one solution

• 
• no solution

• 
• infinitely many solutions

• 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Match the following

• lines that have different slopes

• solution of a system of linear equations

• point of intersection

• one solution

• a set of two or more linear equations in the same variable

• parallel lines

• the lines are the same

• infinitely many solutions

• lines that have the same slope but different y intercepts

• System of linear equations

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10