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Questions and Answers
What is x - y = 5 in slope-intercept form?
What is x - y = 5 in slope-intercept form?
Given y - 7x = 15, what is the standard form?
Given y - 7x = 15, what is the standard form?
What makes -3y² = -2x - 11 NOT a linear equation in two variables?
What makes -3y² = -2x - 11 NOT a linear equation in two variables?
What is the slope of a line whose equation is given by 5y = 2x + 10?
What is the slope of a line whose equation is given by 5y = 2x + 10?
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What is the slope of a line passing through the points (-1, 5) and (2, 6)?
What is the slope of a line passing through the points (-1, 5) and (2, 6)?
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In Quadrant III, the coordinates are both positive.
In Quadrant III, the coordinates are both positive.
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A system of linear equations that has at least one solution is consistent.
A system of linear equations that has at least one solution is consistent.
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A system of linear equations that does not have a solution is inconsistent.
A system of linear equations that does not have a solution is inconsistent.
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In the equation Ax + By = C, c is the slope.
In the equation Ax + By = C, c is the slope.
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In the equation y = mx + b, m is the slope.
In the equation y = mx + b, m is the slope.
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Linear Equation is a set of two or more linear equations in two variables.
Linear Equation is a set of two or more linear equations in two variables.
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Elimination Method is a method to eliminate one of the variables in the equation to find the value of the other variable.
Elimination Method is a method to eliminate one of the variables in the equation to find the value of the other variable.
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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.
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.
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The ordered pair (2, 0) satisfies both equations {2x + y = 4\ x - y = 2}.
The ordered pair (2, 0) satisfies both equations {2x + y = 4\ x - y = 2}.
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Point (0, 4) lies in x-axis.
Point (0, 4) lies in x-axis.
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Match Column A with the correct answer in column B. Write the letter of the correct answer on the space provided before the number.
Match Column A with the correct answer in column B. Write the letter of the correct answer on the space provided before the number.
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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!
