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8.4 Linear Equations and Linear Systems

I can solve puzzle problems using diagrams, equations, or other representations.

I can add or remove blocks from a hanger and keep the hanger balanced.
I can represent balanced hangers with equations.

I can add, subtract, multiply, or divide each side of an equation by the same expression to get a new equation with the same solution.

I can make sense of multiple ways to solve an equation.

I can solve an equation where the variable appears on both sides.

I can solve linear equations in one variable.

I can determine whether an equation has no solutions, one solution, or infinitely many solutions.

I can solve equations with different numbers of solutions.

I can use an expression to find when two things, like height, are the same in a real-world situation.

I can identify ordered pairs that are solutions to an equation.
I can interpret ordered pairs that are solutions to an equation.

I can use graphs to find an ordered pair that two real-world situations have in common.

I can explain the solution to a system of equations in a real-world context.
I can explain what a system of equations is.
I can make graphs to find an ordered pair that two real-world situations have in common.

I can graph a system of equations.
I can solve systems of equations using algebra.

I can use the structure of equations to help me figure out how many solutions a system of equations has.

I can write a system of equations from a real-world situation.

I can use a system of equations to represent a real-world situation and answer questions about the situation.