Expressions And Equations

Outcomes

  • Work With Radicals And Integer Exponents.
    • 8.EE.1
      Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 x 3-5 = 3-3 = 1/33 = 1/27.
      Examples
    • 8.EE.2
      Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that _2 is irrational.
      Examples
    • 8.EE.3
      Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 x 108 and the population of the world as 7 x 109, and determine that the world population is more than 20 times larger.
      Examples
  • Understand The Connections Between Proportional Relationships, Lines, And Linear Equations.
    • 8.EE.5
      Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
      Examples
  • Analyze And Solve Linear Equations And Pairs Of Simultaneous Linear Equations.
    • 8.EE.7
      Solve linear equations in one variable.
      Examples
    • 8.EE.7.b
      Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
      Examples
    • 8.EE.8
      Analyze and solve pairs of simultaneous linear equations.
      Examples
    • 8.EE.8.a
      Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
      Examples