Solve systems by graphing and substitution

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to solve a system by graphing?

Back

It means to draw the equations on a graph and find the point where they intersect.

Tags

CCSS.8.EE.C.8B

Front

What is substitution in solving systems of equations?

Back

It is a method where you solve one equation for a variable and substitute that value into another equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to a system of equations?

Back

The point where the equations intersect, representing the values of the variables that satisfy both equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the slope-intercept form of a linear equation?

Back

It is written as y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope from an equation in standard form?

Back

Convert it to slope-intercept form (y = mx + b) to identify the slope (m).

Tags

CCSS.8.EE.B.5

Front

What does it mean if two lines are parallel?

Back

It means they have the same slope and will never intersect, indicating no solution for the system.

Tags

CCSS.8.EE.C.8A

Front

What is the y-intercept of a line?

Back

It is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How can you check if your solution to a system is correct?

Back

Substitute the values back into the original equations to see if they hold true.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is an example of a system of equations?

Back

3x + 2y = 16 and 7x + y = 19.

Tags

CCSS.8.EE.C.8B