All Common Core: High School - Algebra Resources
Example Questions
Example Question #31 : Solve Systems Of Linear Equations Exactly And Approximately: Ccss.Math.Content.Hsa Rei.C.6
What is the x-coordinate where the following lines intersect?
and
In order to figure out this problem, we need to set each of the equations equal to each other, and solve for .
Example Question #1 : Solve Simple System Of Two Variable Linear And Quadratic Equations: Ccss.Math.Content.Hsa Rei.C.7
Find the points of intersection of and . Round your answers to the nearest hundredth.
The first step to solving this problem is to set the equations equal to each other.
Now subtract the right hand side, to make it zero, so we can use the quadratic equation.
Recall the quadratic equation.
Where , , and correspond to coefficients in the following quadratic equation.
In this case, , , .
Now plug these values in.
Split this up into equations.
Since we want points, we need to plug these values into one of the original equations.
So the first intersection point is at
Now we need to find the last point of intersection.
So the second intersection point is at
Example Question #2 : Solve Simple System Of Two Variable Linear And Quadratic Equations: Ccss.Math.Content.Hsa Rei.C.7
Find the points of intersection of and . Round your answers to the nearest hundredth.
The first step to solving this problem is to set the equations equal to each other.
Now subtract the right hand side, to make it zero, so we can use the quadratic equation.
Recall the quadratic equation.
Where , , and correspond to coefficients in the following quadratic equation.
In this case, , , .
Now plug these values in.
Split this up into equations.
Since we want points, we need to plug these values into one of the original equations.
So the first intersection point is at
Now we need to find the last point of intersection.
So the second intersection point is at
Example Question #1 : Solve Simple System Of Two Variable Linear And Quadratic Equations: Ccss.Math.Content.Hsa Rei.C.7
Find the points of intersection of and . Round your answers to the nearest hundredth.
The first step to solving this problem is to set the equations equal to each other.
Now subtract the right hand side, to make it zero, so we can use the quadratic equation.
Recall the quadratic equation.
Where , , and correspond to coefficients in the following quadratic equation.
In this case, , , .
Now plug these values in.
Split this up into equations.
Since we want points, we need to plug these values into one of the original equations.
So the first intersection point is at
Now we need to find the last point of intersection.
So the second intersection point is at
Example Question #2 : Solve Simple System Of Two Variable Linear And Quadratic Equations: Ccss.Math.Content.Hsa Rei.C.7
Find the points of intersection of and . Round your answers to the nearest hundredth.
The first step to solving this problem is to set the equations equal to each other.
Now subtract the right hand side, to make it zero, so we can use the quadratic equation.
Recall the quadratic equation.
Where , , and correspond to coefficients in the following quadratic equation.
In this case, , , .
Now plug these values in.
Split this up into equations.
Since we want points, we need to plug these values into one of the original equations.
So the first intersection point is at
Now we need to find the last point of intersection.
So the second intersection point is at
Example Question #5 : Solve Simple System Of Two Variable Linear And Quadratic Equations: Ccss.Math.Content.Hsa Rei.C.7
Find the points of intersection of and . Round your answers to the nearest hundredth.
The first step to solving this problem is to set the equations equal to each other.
Now subtract the right hand side, to make it zero, so we can use the quadratic equation.
Recall the quadratic equation.
Where , , and correspond to coefficients in the following quadratic equation.
In this case, .
Now plug these values in.
Split this up into equations.
Since we want points, we need to plug these values into one of the original equations.
So the first intersection point is at
Now we need to find the last point of intersection.
So the second intersection point is at
Example Question #6 : Solve Simple System Of Two Variable Linear And Quadratic Equations: Ccss.Math.Content.Hsa Rei.C.7
Find the points of intersection of and . Round your answers to the nearest hundredth.
The first step to solving this problem is to set the equations equal to each other.
Now subtract the right hand side, to make it zero, so we can use the quadratic equation.
Recall the quadratic equation.
Where , , and correspond to coefficients in the following quadratic equation.
In this case, .
Now plug these values in.
Split this up into equations.
Since we want points, we need to plug these values into one of the original equations.
So the first intersection point is at
Now we need to find the last point of intersection.
So the second intersection point is at
Example Question #7 : Solve Simple System Of Two Variable Linear And Quadratic Equations: Ccss.Math.Content.Hsa Rei.C.7
Find the points of intersection of and . Round your answers to the nearest hundredth.
The first step to solving this problem is to set the equations equal to each other.
4
Now subtract the right hand side, to make it zero, so we can use the quadratic equation.
Recall the quadratic equation.
Where , , and correspond to coefficients in the following quadratic equation.
In this case, .
Now plug these values in.
Split this up into equations.
b
Since we want points, we need to plug these values into one of the original equations.
So the first intersection point is at
Now we need to find the last point of intersection.
So the second intersection point is at
Example Question #1 : Solve Simple System Of Two Variable Linear And Quadratic Equations: Ccss.Math.Content.Hsa Rei.C.7
Find the points of intersection of and . Round your answers to the nearest hundredth.
The first step to solving this problem is to set the equations equal to each other.
Now subtract the right hand side, to make it zero, so we can use the quadratic equation.
Recall the quadratic equation.
Where , , and correspond to coefficients in the following quadratic equation.
In this case, .
Now plug these values in.
Split this up into equations.
Since we want points, we need to plug these values into one of the original equations.
So the first intersection point is at
Now we need to find the last point of intersection.
So the second intersection point is at
Example Question #9 : Solve Simple System Of Two Variable Linear And Quadratic Equations: Ccss.Math.Content.Hsa Rei.C.7
Find the points of intersection of and. Round your answers to the nearest hundredth.
The first step to solving this problem is to set the equations equal to each other.
Now subtract the right hand side, to make it zero, so we can use the quadratic equation.
Recall the quadratic equation.
Where , , and correspond to coefficients in the following quadratic equation.
In this case, .
Now plug these values in.
Split this up into equations.
Since we want points, we need to plug these values into one of the original equations.
So the first intersection point is at
Now we need to find the last point of intersection.
So the second intersection point is at