Systems of Equations Process Questions

What is the solution to the system?

• (-1, 3)

• (-3, 1)

• (3, -1)

• (-3, -1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

How many solutions are there in the system of equations?

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the number of solutions to the system of equations? (Notice there are two lines graphed one on top of the other.)

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

To Find the solution to this system of equations, Juan decided to multiply the entire first equation by -1. What method is Juan employing to find the solution?

• Substitution

• Graphing

• No Solution

• Elimination

What is the first step Terri could take to find the solution to the system of equations using the Elimination Method?

• Multiply by -1 through one equation to flip the signs and create opposite y-values.

• Multiply by -1 through one equation to flip the signs and create opposite x-values.

• Multiply by 1 through one equation to flip the signs and create opposite y-values.

• Isolate a variable and substitute the value in the other equation.

To find the solution to the system of equations Tandy looked for opposites to zero each other out. What variable contains opposite coefficients and which method is Tandy using?

• The x-variables are opposites, and Tandy is using Elimination.

• The x-variables are opposites, and Tandy is using Substitution.

• The y-variables are opposites, and Tandy is using Elimination.

• The y-variables are opposites, and Tandy is using Substitution.

Tauren graphed the two equations shown in the System of Equations. He discovered that the lines appeared in exactly the same location. What is the solution to this system of equations?

• (-7, -9)

• (-10, 5)

• No Solution

• Infinitely Many Solutions

The ordered pair that satisfies all equations in the system.

• system of equations
• function
• graph
• solution of a system

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What kind of lines have no solution to a system of equations

• Parallell Lines
• Overlapping lines
• Intersecting Lines
• Skew Lines

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.B.5

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