Solving 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 of equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is substitution in the context of solving equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into another equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is slope-intercept form?

Back

A way of writing linear equations in the form 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 isolate a variable in an equation?

Back

By performing operations to get the variable on one side of the equation and all other terms on the opposite side.

Tags

CCSS.7.EE.B.4A

Front

What is the first step in solving the system x = 2y + 11 and -7x - 2y = -13 by substitution?

Back

Substituting x in the second equation: -7(2y + 11) - 2y = -13.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system 3x - y = 4 and x + 2y = 6?

Back

(2, 2).

Tags

CCSS.HSA.REI.C.9

Front

When is it best to use graphing to solve a system of equations?

Back

When both equations are in slope-intercept form.

Tags

CCSS.8.EE.C.8B

Front

What does it mean for a variable to be 'isolated'?

Back

It means that the variable is expressed alone on one side of the equation.

Tags

CCSS.6.EE.B.7

Front

What is the graphical representation of a system of equations?

Back

The point(s) where the lines representing the equations intersect.

Tags

CCSS.8.EE.C.8A