Math Exam Reviewer

• Standard form


  ax + by = c
• Slope-intercept form


  y = mx + b
• Converting standard form to slope-intercept form


  1. Solve for y to get y by itself

  2. Move the x term to the other side

  3. Simplify the equation
• Slope (m)


  • The number in front of x
• 1. intercept (b)


  • The constant term
• Graphing a linear equation in slope-intercept form


  1. Plot the y-intercept

  2. Use the slope to find another point

  3. Draw the line
• Converting 3x - 4y = 12 to slope-intercept form


  1. Move 3x to the other side

  2. Divide both sides by -4

  3. Simplify
• Resulting slope-intercept form


  y = (3/4)x - 3
• Slope


  • 3/4
• 1. intercept


  • -3
• Graphing the equation y = (3/4)x - 3


  1. Plot the y-intercept at (-3)

  2. Use the slope of 3/4 to find another point

  3. Draw the line
• Simplifying rational expressions


  1. Reduce numerator and denominator by common factors

  2. Cancel common factors between numerator and denominator

  3. Factor numerator and denominator

  4. Simplify final expression
• Steps to simplify rational expressions


  1. Reduce numerator and denominator by common factors

  2. Cancel common factors between numerator and denominator

  3. Factor numerator and denominator

  4. Simplify final expression