Gr 10 Math Lit: Ch 2 Sum Patterns, Relations and Representations
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Questions and Answers

What is the primary purpose of a graph in data analysis?

  • To compare data between two or more variables
  • To identify patterns in number relationships (correct)
  • To simplify data collection
  • To display complex mathematical formulas

    • What type of graph shows a quicker change?

  • Linear Graph
  • Steep Slope (correct)
  • Inverse Graph
  • Gradual Slope

    • Which type of graph represents measurements that can take any value within a range?

  • Continuous Graph (correct)
  • Inverse Graph
  • Linear Graph
  • Discrete Graph

    • What is the dependent variable in a graph?

    <p>The variable that changes in response to the independent variable</p> Signup and view all the answers

    What does it indicate when a graph touches the vertical axis?

    <p>The starting value of the dependent variable</p> Signup and view all the answers

    What is the purpose of developing a formula to describe a pattern?

    <p>To describe the pattern in a general rule</p> Signup and view all the answers

    What is the characteristic of a linear graph?

    <p>The graph is a straight line</p> Signup and view all the answers

    What is the first step in finding patterns in graphs?

    <p>Look for consistent changes in the data</p> Signup and view all the answers

    What is the purpose of graphs in Mathematical Literacy?

    <p>To show the relationship between two quantities and make it easier to understand data at a glance</p> Signup and view all the answers

    What does the steepness of a graph indicate?

    <p>The rate of change of the quantity</p> Signup and view all the answers

    What is the formula for a linear relationship?

    <p>y = mx + c</p> Signup and view all the answers

    What type of graph is used to represent whole numbers?

    <p>Discrete Graph</p> Signup and view all the answers

    What is the dependent variable in a graph?

    <p>The variable that depends on other factors</p> Signup and view all the answers

    What is the formula for an inverse proportion relationship?

    <p>y = k/x</p> Signup and view all the answers

    How do you plot a point on a grid?

    <p>Start at the origin, move along the x-axis, and then move along the y-axis</p> Signup and view all the answers

    What is the general formula for a pattern?

    <p>an = mx + c</p> Signup and view all the answers

    What is the purpose of identifying patterns in a sequence?

    <p>To write a rule or formula for the sequence</p> Signup and view all the answers

    What does the y-intercept represent in a linear graph?

    <p>The starting value of the dependent variable</p> Signup and view all the answers

    What is the main difference between a continuous graph and a discrete graph?

    <p>The type of lines used to connect the points</p> Signup and view all the answers

    What does a gradual slope in a graph indicate?

    <p>A slower change in the dependent variable</p> Signup and view all the answers

    What is the purpose of identifying patterns in a graph?

    <p>To create a formula for the pattern</p> Signup and view all the answers

    What does it indicate when a graph touches the horizontal axis?

    <p>The dependent variable has reached zero</p> Signup and view all the answers

    What is the relationship between the independent variable and the dependent variable in a graph?

    <p>The independent variable affects the dependent variable</p> Signup and view all the answers

    What is the purpose of developing a formula to describe a pattern in a graph?

    <p>To describe the pattern in a concise way</p> Signup and view all the answers

    What is the characteristic of an increasing graph?

    <p>The slope goes up from left to right</p> Signup and view all the answers

    What is the first step in interpreting a graph?

    <p>Look for the starting value of the dependent variable</p> Signup and view all the answers

    What does the slope of a graph indicate?

    <p>The rate of change of the dependent variable</p> Signup and view all the answers

    Which type of graph would be used to represent the relationship between the number of items purchased and the total cost?

    <p>Discrete graph</p> Signup and view all the answers

    What is the formula for a linear pattern where the cost increases by a fixed amount per unit?

    <p>c = 2 + 4b</p> Signup and view all the answers

    What does the x-axis represent in a graph?

    <p>The independent variable</p> Signup and view all the answers

    What is the characteristic of an inverse proportion relationship?

    <p>The graph forms a curve</p> Signup and view all the answers

    What is the purpose of identifying patterns in a sequence?

    <p>To write a formula to describe the relationship</p> Signup and view all the answers

    How do you determine if a graph represents a linear relationship?

    <p>If the points form a straight line</p> Signup and view all the answers

    What is the value of the y-intercept in the formula c = 2 + 4b?

    <p>2</p> Signup and view all the answers

    What is the purpose of developing a formula to describe a pattern?

    <p>To make predictions about future values</p> Signup and view all the answers

    What is the formula for a pattern where the cost increases by a fixed amount per unit, and the starting value is 3?

    <p>c = 3 + 4b</p> Signup and view all the answers

    What is the primary purpose of distinguishing between increasing and decreasing graphs?

    <p>To visualize the relationship between the variables</p> Signup and view all the answers

    When finding patterns in a graph, what is the importance of looking for consistent changes?

    <p>To develop a formula for the pattern</p> Signup and view all the answers

    What is the significance of the horizontal axis in a graph?

    <p>It represents the value of the dependent variable when it reaches zero</p> Signup and view all the answers

    When interpreting a graph, what is the importance of identifying the independent variable?

    <p>To understand the relationship between the variables</p> Signup and view all the answers

    What is the purpose of developing a formula to describe a pattern in a graph?

    <p>To make predictions about future values</p> Signup and view all the answers

    What is the characteristic of a graph that shows a trend?

    <p>It has a consistent pattern</p> Signup and view all the answers

    What is the relationship between the independent variable and the dependent variable in a graph?

    <p>The independent variable affects the dependent variable</p> Signup and view all the answers

    What is the importance of distinguishing between continuous and discrete graphs?

    <p>To choose the appropriate type of graph for the data</p> Signup and view all the answers

    What does the graph of a linear relationship indicate about the rate of change?

    <p>The rate of change is constant.</p> Signup and view all the answers

    What does the formula y = k/x represent in a graph?

    <p>An inverse proportion relationship.</p> Signup and view all the answers

    What is the purpose of finding the general formula for a pattern?

    <p>To describe the relationship between variables in a pattern.</p> Signup and view all the answers

    What does the slope of a graph represent?

    <p>The rate of change in a relationship.</p> Signup and view all the answers

    What type of graph would be used to represent the relationship between the number of hours studied and the grade achieved?

    <p>A continuous graph.</p> Signup and view all the answers

    What is the value of the dependent variable when the graph touches the horizontal axis?

    <p>The dependent variable is zero.</p> Signup and view all the answers

    What does the y-intercept represent in a linear graph?

    <p>The starting value of a sequence.</p> Signup and view all the answers

    What is the purpose of identifying patterns in a sequence?

    <p>To describe the relationship between variables in a pattern.</p> Signup and view all the answers

    What does the steepness of a graph indicate?

    <p>The rate of change in a relationship.</p> Signup and view all the answers

    What is the characteristic of a decreasing graph?

    <p>The slope goes down from left to right.</p> Signup and view all the answers

    What is the key feature of a graph that shows a linear relationship?

    <p>The graph has a constant rate of change.</p> Signup and view all the answers

    What does the y-intercept represent in a linear graph?

    <p>The starting value when x = 0.</p> Signup and view all the answers

    Which type of graph is used to represent the relationship between the number of items purchased and the total cost?

    <p>Linear graph.</p> Signup and view all the answers

    What is the purpose of identifying patterns in a sequence?

    <p>To predict future values.</p> Signup and view all the answers

    What does the steepness of a graph indicate?

    <p>The rate of change.</p> Signup and view all the answers

    What is the formula for an inverse proportion relationship?

    <p>y = k/x.</p> Signup and view all the answers

    What is the purpose of distinguishing between continuous and discrete graphs?

    <p>To determine the type of data being represented.</p> Signup and view all the answers

    What does the graph of a linear relationship indicate about the rate of change?

    <p>It is constant.</p> Signup and view all the answers

    What is the importance of identifying the independent variable in a graph?

    <p>To understand the cause-and-effect relationship.</p> Signup and view all the answers

    What is the purpose of finding the general formula for a pattern?

    <p>To describe the relationship between variables.</p> Signup and view all the answers

    What is the primary purpose of distinguishing between linear and inverse relationships in graphs?

    <p>To interpret the trend of the data</p> Signup and view all the answers

    What is the characteristic of a graph that represents a pattern where the cost increases by a fixed amount per unit?

    <p>A straight line with a positive slope</p> Signup and view all the answers

    What is the importance of identifying the independent variable in a graph?

    <p>To interpret the trend of the data</p> Signup and view all the answers

    What is the significance of the vertical axis in a graph?

    <p>It indicates the starting value of the dependent variable</p> Signup and view all the answers

    What is the purpose of developing a formula to describe a pattern in a graph?

    <p>To make predictions about future data</p> Signup and view all the answers

    What is the characteristic of a discrete graph?

    <p>It represents whole numbers, shown by points connected by dotted lines</p> Signup and view all the answers

    What is the importance of looking for consistent changes in the data when finding patterns in a graph?

    <p>To identify the pattern or rule that describes the data</p> Signup and view all the answers

    What is the relationship between the independent variable and the dependent variable in a graph?

    <p>The dependent variable changes in response to the independent variable</p> Signup and view all the answers

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