Linear Equations Quiz
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Questions and Answers

What is x - y = 5 in slope-intercept form?

  • y = -x - 5
  • y = x - 5
  • y = x + 5 (correct)
  • y = -x + 5

    • Given y - 7x = 15, what is the standard form?

  • x + 7y = 15
  • x - 7y = 15
  • 7x + y = 15 (correct)
  • 7x - y = 15

    • What makes -3y² = -2x - 11 NOT a linear equation in two variables?

  • Each of its terms has negative sign.
  • It does not start with a positive term.
  • Its degree is not one. (correct)
  • It is not written in standard form.

    • What is the slope of a line whose equation is given by 5y = 2x + 10?

    <p>2/5 (B)</p> Signup and view all the answers

    What is the slope of a line passing through the points (-1, 5) and (2, 6)?

    <p>1/3 (D)</p> Signup and view all the answers

    In Quadrant III, the coordinates are both positive.

    <p>False (B)</p> Signup and view all the answers

    A system of linear equations that has at least one solution is consistent.

    <p>True (A)</p> Signup and view all the answers

    A system of linear equations that does not have a solution is inconsistent.

    <p>True (A)</p> Signup and view all the answers

    In the equation Ax + By = C, c is the slope.

    <p>False (B)</p> Signup and view all the answers

    In the equation y = mx + b, m is the slope.

    <p>True (A)</p> Signup and view all the answers

    Linear Equation is a set of two or more linear equations in two variables.

    <p>True (A)</p> Signup and view all the answers

    Elimination Method is a method to eliminate one of the variables in the equation to find the value of the other variable.

    <p>True (A)</p> Signup and view all the answers

    Substitution Method is a method by replacing the resulting expression to the other equation to solve for the other variable without changing the value of the original expression.

    <p>True (A)</p> Signup and view all the answers

    The ordered pair (2, 0) satisfies both equations {2x + y = 4\ x - y = 2}.

    <p>True (A)</p> Signup and view all the answers

    Point (0, 4) lies in x-axis.

    <p>False (B)</p> Signup and view all the answers

    Match Column A with the correct answer in column B. Write the letter of the correct answer on the space provided before the number.

    <p>Other term of x-coordinate = infinitely many solutions Other term of y-coordinate = slope-intercept form Ax + By = C = intersecting line y = mx + b = abscissa Solution of Dependent System = ordinate Graph of Consistent and Independent = standard form Graph of Consistent and Dependent = coinciding line Graph of Inconsistent = y = x + 4 Slope-intercept form of x + y = 4 = parallel line Slope-intercept form of x - y = 4 = Point-slope form</p> Signup and view all the answers

    Flashcards

    Slope-intercept form

    A way to write a linear equation, where y = mx + b and m is the slope and b is the y-intercept.

    Standard form

    An equation of a line written in the form Ax + By = C, where A, B, and C are integers and A is non-negative.

    Linear equation

    An equation whose graph is a straight line.

    Slope

    The rate of change of y with respect to x.

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    y-intercept

    The point where a line crosses the y-axis.

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    x-coordinate

    The first number in an ordered pair (x, y).

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    y-coordinate

    The second number in an ordered pair (x, y).

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    abscissa

    Another name for the x-coordinate.

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    ordinate

    Another name for the y-coordinate.

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    Consistent system

    A system of equations that has at least one solution.

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    Inconsistent system

    A system of equations that has no solution.

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    Dependent system

    A system of equations that has infinitely many solutions.

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    Consistent and Independent system

    A system of linear equations with exactly one solution.

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    Consistent and Dependent system

    A system of linear equations with infinitely many solutions.

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    Quadrant III

    The quadrant where both coordinates are negative.

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    Solution of equations

    The point (x, y) that satisfies each equation in the system.

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    Elimination Method

    A method for solving a system of equations by adding or subtracting equations to get rid of a variable.

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    Substitution Method

    A method for solving a system of equations by replacing one variable in one equation with an expression for that variable from another equation.

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    Constant

    A number without a variable.

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    Study Notes

    Linear Equations

    • The slope-intercept form of x – y = 5 is y = x – 5
    • Given y = –7x + 15, the standard form is 7x + y = 15
    • A linear equation has a degree of one.
    • The equation –3y² = –2x – 11 is not linear because of the y² term.
    • The slope of a line with the equation 5y = 2x + 10 is 2/5
    • The slope of a line passing through points (–1, 5) and (2, 6) is 1

    Modified True/False

    • In Quadrant III, the coordinates are both negative
    • A system of linear equations that has at least one solution is consistent
    • A system of linear equations that does not have a solution is inconsistent
    • In the equation Ax + By = C, c is the constant term
    • In the equation y = mx + b, m is the slope
    • A linear equation is a set of two or more linear equations in two variables.
    • The elimination method is replacing the resulting expression to the other equation without changing the value.
    • The ordered pair (2, 0) satisfies the equations (2x + y = 4) and (x – y = 2)
    • Point (0, 4) lies on the y-axis

    Matching

    • The other term for the x-coordinate is abscissa.
    • The other term for the y-coordinate is ordinate
    • The standard form of a linear equation is Ax + By = C
    • The slope-intercept form of a linear equation is y = mx + b
    • The solution to a dependent system is infinitely many solutions
    • The graph of a consistent and independent system is intersecting lines
    • The graph of a consistent and dependent system is coinciding lines
    • The graph of an inconsistent system is parallel lines
    • The slope-intercept form of x+y = 4 is y = -x + 4
    • The slope-intercept form of x – y = -4 is y = x + 4

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    Description

    Test your understanding of linear equations and their properties with this quiz. You'll encounter questions on slope-intercept form, standard form, and characteristics that differentiate linear from non-linear equations. Put your knowledge to the test and see how well you understand these concepts!

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