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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?
- y = -x - 5
- y = x - 5
- y = x + 5 (correct)
- y = -x + 5
Given y - 7x = 15, what is the standard form?
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?
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?
What is the slope of a line whose equation is given by 5y = 2x + 10?
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)?
In Quadrant III, the coordinates are both positive.
In Quadrant III, the coordinates are both positive.
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.
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.
In the equation Ax + By = C, c is the slope.
In the equation Ax + By = C, c is the slope.
In the equation y = mx + b, m is the slope.
In the equation y = mx + b, m is the slope.
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.
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.
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.
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}.
Point (0, 4) lies in x-axis.
Point (0, 4) lies in x-axis.
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.
Flashcards
Slope-intercept form
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
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
Linear equation
An equation whose graph is a straight line.
Slope
Slope
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y-intercept
y-intercept
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x-coordinate
x-coordinate
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y-coordinate
y-coordinate
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abscissa
abscissa
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ordinate
ordinate
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Consistent system
Consistent system
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Inconsistent system
Inconsistent system
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Dependent system
Dependent system
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Consistent and Independent system
Consistent and Independent system
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Consistent and Dependent system
Consistent and Dependent system
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Quadrant III
Quadrant III
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Solution of equations
Solution of equations
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Elimination Method
Elimination Method
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Substitution Method
Substitution Method
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Constant
Constant
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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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