Equation/Graphs

• What is an expression in algebra?

  A collection of terms without an equals sign
• What is the difference between an expression and an equation?

  An equation has an equals sign
• How do you evaluate an expression?

  Substitute values for the variables
• What is an identity in algebra?

  An equation true for all variable values
• Which of the following is an identity: 4(x+3) = 4x + 12?

  True
• Which of the following is an equation: 2(2x + 4)?

  False
• What does it mean for pairs of points to be equidistant?

  They are the same distance from each other
• What are the characteristics of equations and identities?

  • Equations have solutions
  • Identities are true for all variable values
• What are the differences between expressions and equations?

  • Expressions: no equals sign
  • Equations: have an equals sign
• What is the significance of evaluating expressions?

  • Finding the value based on variable inputs
• What is the process of solving equations?

  • Finding variable values that satisfy the equation
• What is the equation of a horizontal line?

  y = a for some value of a
• What does the equation y = 2 represent?

  A horizontal line where y is always 2
• What is the equation of the x-axis?

  y = a
• What is the equation of a vertical line?

  x = a for some value of a
• What does the equation x = -2 represent?

  A vertical line where x is always -2
• What are coordinates made with whole numbers called?

  Lattice points
• What do points on a solid line represent in the context of inequalities?


  They satisfy the inequality
• What do points on dashed lines represent in the context of inequalities?


  They do not satisfy the inequality
• What does a solid line indicate in graphing?

  Points on the line are included
• What does a dotted line indicate in graphing?

  Points on the line are not allowed
• What does plotting sets of coordinates demonstrate?

  The point between pairs does not have a constant difference
• What is the equation of the line represented by y = 0 x + 5?

  y = 5
• What is the equation of the line represented by y = 0 x + 10?

  y = 10
• What does the equation y = x + 4 represent?

  A linear relationship with a slope of 1
• What defines a linear graph?

  • A graph that is a single straight line
  • Represents a linear relationship
• What defines a non-linear graph?

  • A graph that is not a single straight line
  • Represents a non-linear relationship
• What is the gradient of a line?

  How far up or down it goes per unit
• What is the general formula for a linear equation?

  y = mx + c
• What is the y-intercept in a linear graph?

  Where the graph crosses the y-axis
• What does the variable c represent in a linear equation?

  The y-intercept of the line
• Is the equation y = 2x a linear equation?

  Yes
• What does the variable m represent in a linear equation?

  The gradient of the line
• Is the equation y = 2x - 1 a linear equation?

  Yes
• Is the equation y = x + 2 a linear equation?

  yes
• Is the equation y = x - 3 a linear equation?

  Yes
• Is the equation y = 3x + 4 a linear equation?

  yes
• What is the order of steepness for the given linear equations?

  • y = 3x + 4
  • y = 2x + 2
  • y = x + 2
  • Least steep: y = x + 2
  • Steepest: y = 3x + 4
• What does it mean for lines to be parallel?

  They have equal gradients
• What does it mean for lines to be perpendicular?

  They meet at right angles