Systems of Equations: Equal Values Method Practice

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to solve a system of equations?

Back

To solve a system of equations means to find the values of the variables that satisfy all equations in the system simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the Equal Values Method?

Back

The Equal Values Method involves setting the equations equal to each other when both are expressed in terms of the same variable, allowing for easier solving.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you apply the Equal Values Method?

Back

1. Set the two equations equal to each other. 2. Solve for one variable. 3. Substitute back to find the other variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Given y = 3x - 2 and y = 5x + 1, what is the solution?

Back

x = -3 and y = -11.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Given y = 4x + 5 and y = 2x - 3, what is the solution?

Back

x = -4 and y = -11.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Given y = 2x + 3 and y = 4x - 1, what is the solution?

Back

x = 2 and y = 7.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Given y = 3x - 1 and y = 5x + 2, what is the solution?

Back

x = -3 and y = -10.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Given y = 4x + 3 and y = 2x - 5, what is the solution?

Back

x = -4 and y = -13.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in solving a system of equations using the Equal Values Method?

Back

Set the two equations equal to each other.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6