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Linear Equations Quiz

12 questions math Grades 9-12

The question sheet

Reveal any answer as you study
  1. In the equation y = a + bx, what are a and b?

    • Both slopes
    • Constant numbers
    • Independent variables
    • Dependent variables
    Reveal answer

    Answer: Constant numbers

    Source evidence

    PDF page 654: where a and b are constant numbers. The variable x is the independent variable; y is the dependent variable. Typically, you choose a value to substitute for the independent variable and then solve for the dependent variable.

  2. In the linear equation y = a + bx, which is the independent variable?

    • y
    • a
    • x
    • b
    Reveal answer

    Answer: x

    Source evidence

    PDF page 654: where a and b are constant numbers. The variable x is the independent variable; y is the dependent variable. Typically, you choose a value to substitute for the independent variable and then solve for the dependent variable.

  3. In y = a + bx, which variable is the dependent variable?

    • y
    • a
    • b
    • x
    Reveal answer

    Answer: y

    Source evidence

    PDF page 654: where a and b are constant numbers. The variable x is the independent variable; y is the dependent variable. Typically, you choose a value to substitute for the independent variable and then solve for the dependent variable.

  4. Typically, you choose a value for which variable and solve for the other?

    • The y-intercept
    • The slope
    • The independent variable
    • The dependent variable
    Reveal answer

    Answer: The independent variable

    Source evidence

    PDF page 654: where a and b are constant numbers. The variable x is the independent variable; y is the dependent variable. Typically, you choose a value to substitute for the independent variable and then solve for the dependent variable.

  5. The graph of a linear equation y = a + bx is a:

    • Circle
    • Straight line
    • Curve
    • Parabola
    Reveal answer

    Answer: Straight line

    Source evidence

    PDF page 654: The graph of a linear equation of the form y = a + bx is a straight line. Any line that is not vertical can be described by this equation.

  6. Any line that can be described by y = a + bx is not:

    • Straight
    • Horizontal
    • Sloping
    • Vertical
    Reveal answer

    Answer: Vertical

    Source evidence

    PDF page 654: The graph of a linear equation of the form y = a + bx is a straight line. Any line that is not vertical can be described by this equation.

  7. In y = a + bx, b represents the:

    • Constant
    • Slope
    • Independent variable
    • Y-intercept
    Reveal answer

    Answer: Slope

    Source evidence

    PDF page 655: For the linear equation y = a + bx, b = slope and a = y-inttercept. From algebra, recall that the slope is a number that

  8. The slope is a number that describes the:

    • Crossing of the y-axis
    • Fixed cost
    • Dependent variable
    • Steepness of a line
    Reveal answer

    Answer: Steepness of a line

    Source evidence

    PDF page 655: For the linear equation y = a + bx, b = slope and a = y-inttercept. From algebra, recall that the slope is a number that

  9. The y-intercept is the y-coordinate of which point?

    • (0, b)
    • (0, a)
    • (a, 0)
    • (b, 0)
    Reveal answer

    Answer: (0, a)

    Source evidence

    PDF page 655: describes the steepness of a line; the y-intercept is the y-coordinate of the point (0, a), where the line crosses the y-axis. Please note that in previous courses you learned was the slope-intercept form of the equation, where m represented the slope and b represented the y-intercept. In this text, the form is used, where a is the y-intercept and b is the slope. The key is remembering the coefficient of x is the slope, and the constant number is the y-intercept.

  10. In the text's form y = a + bx, the coefficient of x is the:

    • Slope
    • Dependent variable
    • Y-intercept
    • Constant
    Reveal answer

    Answer: Slope

    Source evidence

    PDF page 655: describes the steepness of a line; the y-intercept is the y-coordinate of the point (0, a), where the line crosses the y-axis. Please note that in previous courses you learned was the slope-intercept form of the equation, where m represented the slope and b represented the y-intercept. In this text, the form is used, where a is the y-intercept and b is the slope. The key is remembering the coefficient of x is the slope, and the constant number is the y-intercept.

  11. In y = a + bx, the constant number is the:

    • Steepness
    • Independent variable
    • Y-intercept
    • Slope
    Reveal answer

    Answer: Y-intercept

    Source evidence

    PDF page 655: describes the steepness of a line; the y-intercept is the y-coordinate of the point (0, a), where the line crosses the y-axis. Please note that in previous courses you learned was the slope-intercept form of the equation, where m represented the slope and b represented the y-intercept. In this text, the form is used, where a is the y-intercept and b is the slope. The key is remembering the coefficient of x is the slope, and the constant number is the y-intercept.

  12. If b > 0, the line slopes:

    • Downward to the right
    • Vertically
    • Upward to the right
    • Horizontally
    Reveal answer

    Answer: Upward to the right

    Source evidence

    PDF page 655: Figure 12.4 Three possible graphs of y = a + bx. (a) If b > 0, the line slopes upward to the right. (b) If b = 0, the line is

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