Flashcards on Linear Equations and Inequalities

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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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