Review Flashcard #3

Front

What is a solution in the context of equations?

Back

A solution is a set of values that satisfy an equation or a system of equations.

Front

What does it mean if an equation has no solution?

Back

It means that there are no values that can satisfy the equation, often resulting in a contradiction.

Front

What is the significance of the variable 'p' in an equation?

Back

The variable 'p' represents an unknown value that can be solved for in an equation.

Front

How do you solve a system of equations?

Back

You can solve a system of equations using methods such as substitution, elimination, or graphing.

Front

What is the solution of the system of equations: x + 2y = 23 and 4x - y = -7?

Back

The solution is (1, 11).

Front

What does it mean for an equation to be true?

Back

An equation is true when both sides of the equation are equal when the variables are replaced with their values.

Front

What is the role of options in multiple-choice questions?

Back

Options provide possible answers from which the correct one must be selected.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the values satisfy the original equation, confirming its correctness.

Front

What is a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value in an equation or expression.

Front

What does it mean to graph an equation?

Back

Graphing an equation involves plotting points on a coordinate plane that represent the solutions of the equation.