Systems of Equations Pre-Test

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean if a system of equations has no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means the equations represent the same line, so every point on the line is a solution.

Tags

CCSS.8.EE.C.8A

Front

What is the elimination method?

Back

A method for solving systems of equations by adding or subtracting equations to eliminate one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the substitution method?

Back

A method for solving systems of equations by 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 is the graphing method?

Back

A method for solving systems of equations by graphing the equations on the same coordinate plane and identifying the point(s) of intersection.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to the system: 8x + 4y = 12 and y = -2x + 3?

Back

Infinitely many solutions.

Tags

CCSS.8.EE.C.8B

Front

Which method is NOT used to solve systems of equations?

Back

Difference of Squares.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system: -1/3x + 4 = 2/3x + 1. What is the solution?

Back

(3, 3).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

(2, 5).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6