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Flashcards on Linear Equations and Inequalities
Click on the flashcard to see the answer
What is a linear equation?
A linear equation is an equation between two variables that forms a straight line when graphed.
What is the standard form of a linear equation?
The standard form of a linear equation is Ax + By = C, where A, B, and C are constants.
How do you solve a linear equation?
To solve a linear equation, isolate the variable on one side of the equation by performing the same operation on both sides.
What is a solution of a linear equation?
A solution of a linear equation is a value of the variables that makes the equation true.
What is a linear inequality?
A linear inequality is an inequality between two variables that forms a shaded region when graphed.
What is the difference between an equation and an inequality?
An equation expresses equality between two expressions, while an inequality expresses a relationship of inequality between two expressions.
How do you graph a linear inequality?
To graph a linear inequality, first graph the corresponding linear equation and then shade the region that satisfies the inequality.
What is a solution of a linear inequality?
A solution of a linear inequality is a set of values for the variables that satisfy the inequality.
What is a system of linear equations?
A system of linear equations is a set of two or more linear equations with the same variables.
How do you solve a system of linear equations?
To solve a system of linear equations, you can use substitution, elimination, or graphing methods.
What is a solution of a system of linear equations?
A solution of a system of linear equations is a set of values for the variables that satisfies all the equations in the system.
What is a compound inequality?
A compound inequality is an inequality that combines two or more simpler inequalities using the logical operators 'and' or 'or'.
How do you solve a compound inequality?
To solve a compound inequality, solve each inequality separately and then combine the solutions using the logical operators 'and' or 'or'.
What is a solution of a compound inequality?
A solution of a compound inequality is a set of values for the variables that satisfies the compound inequality.
What are absolute value equations?
Absolute value equations are equations that involve the absolute value of a variable, denoted by |x|.
How do you solve absolute value equations?
To solve absolute value equations, consider the positive and negative cases and solve for the variable in each case.
What is a linear equation?
A linear equation is an equation between two variables that forms a straight line when graphed.
What is the standard form of a linear equation?
The standard form of a linear equation is Ax + By = C, where A, B, and C are constants.
How do you solve a linear equation?
To solve a linear equation, isolate the variable on one side of the equation by performing the same operation on both sides.
What is a solution of a linear equation?
A solution of a linear equation is a value of the variables that makes the equation true.
What is a linear inequality?
A linear inequality is an inequality between two variables that forms a shaded region when graphed.
What is the difference between an equation and an inequality?
An equation expresses equality between two expressions, while an inequality expresses a relationship of inequality between two expressions.
How do you graph a linear inequality?
To graph a linear inequality, first graph the corresponding linear equation and then shade the region that satisfies the inequality.
What is a solution of a linear inequality?
A solution of a linear inequality is a set of values for the variables that satisfy the inequality.
What is a system of linear equations?
A system of linear equations is a set of two or more linear equations with the same variables.
How do you solve a system of linear equations?
To solve a system of linear equations, you can use substitution, elimination, or graphing methods.
What is a solution of a system of linear equations?
A solution of a system of linear equations is a set of values for the variables that satisfies all the equations in the system.
What is a compound inequality?
A compound inequality is an inequality that combines two or more simpler inequalities using the logical operators 'and' or 'or'.
How do you solve a compound inequality?
To solve a compound inequality, solve each inequality separately and then combine the solutions using the logical operators 'and' or 'or'.
What is a solution of a compound inequality?
A solution of a compound inequality is a set of values for the variables that satisfies the compound inequality.
What are absolute value equations?
Absolute value equations are equations that involve the absolute value of a variable, denoted by |x|.
How do you solve absolute value equations?
To solve absolute value equations, consider the positive and negative cases and solve for the variable in each case.
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