Elite Medics - Maths

    Cards (242)

    • What is the equation for a straight line?
      y = mx + c
    • What does 'm' represent in the equation of a line?
      'm' represents the gradient of the line
    • What does 'c' represent in the equation of a line?
      'c' represents the y-intercept
    • What is the y-intercept of a line?
      The y-intercept is where the line crosses the y-axis
    • What is the x-intercept of a line?
      The x-intercept is where the line crosses the x-axis
    • What is a term in algebra?
      A term can be a number, a letter, or a combination of both
    • What is an expression in algebra?
      An expression is a combination of terms using operations
    • What is an equation in algebra?
      An equation is when two expressions are equal to each other
    • How do you identify a horizontal line on a graph?
      A horizontal line has a constant y value while the x value changes
    • How do you identify a vertical line on a graph?
      A vertical line has a constant x value while the y value changes
    • What is the significance of the coordinates where two lines intersect?
      It represents the point where both lines cross each other
    • What is the formula to find the gradient of a line?
      The gradient can be found using two points on the line
    • What are the characteristics of diagonal lines in algebra?
      • Both x and y coordinates change
      • They have an equation of the form y = mx + c
      • The slope of the line is represented by 'm'
      • The y-intercept is represented by 'c'
    • What does it mean if a line has a shallow gradient?
      A shallow gradient means the slope of the line is small
    • What does it mean if a line has a steep gradient?
      A steep gradient means the slope of the line is large
    • How do you find the y-intercept from the equation y = mx + c?

      The y-intercept is the value of 'c' in the equation
    • How do you find the gradient from the equation y = mx + c?
      The gradient is the value of 'm' in the equation
    • What are the steps to solve simultaneous equations?
      1. Write down the equations.
      2. Use substitution or elimination methods.
      3. Solve for one variable.
      4. Substitute back to find the other variable.
      5. Check the solution in both equations.
    • What are the steps to solve inequalities graphically?
      1. Rewrite the inequality in slope-intercept form.
      2. Graph the boundary line.
      3. Determine which side of the line to shade.
      4. Test a point to confirm the solution region.
    • What is the purpose of the slider tool mentioned in the session?
      To gather responses and feedback from participants
    • What should participants do if they cannot access the slider tool?
      They can put their answers in the Q&A chat
    • What is the significance of the y-coordinate in a horizontal line?
      The y-coordinate remains constant
    • What is the significance of the x-coordinate in a vertical line?
      The x-coordinate remains constant
    • How do you determine the coordinates of the intersection of two lines?
      By identifying where the lines cross on the graph
    • What does it mean if a line is described as 'y = 5'?
      It means the line is horizontal at y = 5
    • What does it mean if a line is described as 'x = 6'?
      It means the line is vertical at x = 6
    • What is the relationship between the y-intercept and the x-intercept?
      The y-intercept is where the line crosses the y-axis, while the x-intercept is where it crosses the x-axis
    • What is the importance of understanding the equation y = mx + c?
      It helps in understanding the relationship between x and y in linear equations
    • How can you tell if a line is increasing or decreasing from its equation?
      If 'm' is positive, the line is increasing; if 'm' is negative, the line is decreasing
    • What does it mean if a line has a gradient of zero?
      It means the line is horizontal
    • What does it mean if a line has an undefined gradient?
      It means the line is vertical
    • How do you find the coordinates of the intersection of y = 1 and x = 7?
      The coordinates are (7, 1)
    • What is the significance of the point (3, 4) in the context of intercepts?
      It is the point where two lines intersect
    • What does the term 'simultaneous equations' refer to?
      It refers to a set of equations with multiple variables that are solved together
    • What is the purpose of plotting graphs in algebra?
      To visually represent relationships between variables
    • How can you determine the slope of a line from a graph?
      By measuring the rise over run between two points on the line
    • What is the significance of the equation y = mx + c in real-world applications?
      It models linear relationships in various fields such as physics, economics, and engineering
    • How do you interpret the slope of a line in a real-world context?
      The slope indicates the rate of change between the two variables
    • What is the relationship between the coefficients in the equation y = mx + c?
      The coefficient 'm' affects the steepness of the line, while 'c' affects the vertical position
    • What is the importance of understanding intercepts in graphing?
      Intercepts help identify where the line crosses the axes, which is crucial for graphing
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