8.4 Linear Equations and Linear Systems

Lesson 1

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

Lesson 2

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

Lesson 3

  • 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.

Lesson 4

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

Lesson 5

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

Lesson 6

  • I can solve linear equations in one variable.

Lesson 7

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

Lesson 8

  • I can solve equations with different numbers of solutions.

Lesson 9

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

Lesson 10

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

Lesson 11

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

Lesson 12

  • 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.

Lesson 13

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

Lesson 14

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

Lesson 15

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

Lesson 16

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