Unit 7 Review - System of Equations

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (3, 1)

• One Solution: (1, 3)

Answer explanation

The system of equations intersects at the point (3, 1), indicating that this is the only solution. Therefore, the correct answer is One Solution: (3, 1).

Tags

CCSS.8.EE.C.8B

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (1, -2)

• One Solution: (-2, 1)

Answer explanation

The system of equations intersects at the point (-2, 1), indicating that this is the only solution. Therefore, the correct answer is One Solution: (-2, 1).

Tags

CCSS.8.EE.C.8B

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (4, 2)

• One Solution: (2, 4)

Answer explanation

The system of equations intersects at the point (4, 2), indicating that this is the only solution. Therefore, the correct answer is One Solution: (4, 2).

Tags

CCSS.8.EE.C.8B

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (0, 4)

• One Solution: (0, 6)

Answer explanation

The system of equations has no solution because the lines are parallel and do not intersect. Therefore, the correct answer is 'No Solution'.

Tags

CCSS.8.EE.C.8B

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (0, 2)

• One Solution: (2, 6)

Answer explanation

The system of equations has infinite solutions because the lines represented by the equations are coincident, meaning they overlap completely. Thus, every point on the line is a solution.

Tags

CCSS.8.EE.C.8B

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

Answer explanation

The correct solution is (1, -1) because it satisfies the given conditions or equations. The other options do not meet the criteria, making (1, -1) the only valid choice.

Tags

CCSS.8.EE.C.8B

How many solutions does the system of equations below have?

• No Solution

• Infinite Solutions

• One Solution

Answer explanation

The system has no solution because the equations represent parallel lines that never intersect, indicating that there are no points that satisfy both equations simultaneously.

Tags

CCSS.8.EE.C.8B

How many solutions does the system of equations below have?

• No Solution

• Infinite Solutions

• One Solution

Answer explanation

The system of equations has one solution because the lines represented by the equations intersect at a single point, indicating a unique solution.

Tags

CCSS.8.EE.C.8B

How many solutions does the system of equations below have?

• No Solution

• Infinite Solutions

• One Solution

Answer explanation

The system of equations has infinite solutions because the equations represent the same line in a graph, meaning every point on the line is a solution.

Tags

CCSS.8.EE.C.8B

A system of equations with one solution will have lines that...

• are the same

• cross in one place

• are parallel and never touch

Answer explanation

A system of equations with one solution means the lines intersect at a single point. Therefore, the correct choice is that the lines 'cross in one place', indicating they are not parallel or the same.

Tags

CCSS.8.EE.C.8A