Fall 24 Foundations Unit 5 Test Review

Front

What does it mean if a system of linear equations has one solution?

Back

The two lines are intersecting lines.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to the system of equations 3x + 2y = 16 and 7x + y = 19?

Back

(2, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Is (0, 16) a solution to the system of equations -3x=4y+2 and 2y=4x+32?

Back

No, it only satisfies the second equation, and fails to satisfy the first.

Front

Which of the following is NOT a method to solve systems: Elimination, Distribution, Substitution, Graphing?

Back

Distribution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system of equations using substitution: -4x + 4y = 8 and y = -2x - 10.

Back

(-4, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What are the characteristics of parallel lines in a system of equations?

Back

Parallel lines have no solutions as they never intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean if two lines are the same line in a system of equations?

Back

It means there are infinitely many solutions as every point on the line is a solution.

Tags

CCSS.8.EE.C.8A

Front

How can you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into both equations; if both equations are satisfied, it is a solution.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6