Dec.10 HAM Solving Systems of Equations by substitution

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does substitution mean in solving systems of equations?

Back

Substitution is a method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

How do you check if a solution is correct for a system of equations?

Back

Substitute the solution back into both original equations to see if they hold true.

Front

What is the first step in solving a system of equations by substitution?

Back

Isolate one variable in one of the equations.

Front

What does it mean if a system of equations has no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinite solutions?

Back

It means the equations represent the same line, and every point on the line is a solution.

Front

What is the general form of a linear equation?

Back

Front

How do you write an equation from a word problem?

Back

Identify the variables, determine the relationship between them, and express it in equation form.

Front

What is a positive correlation in a scatter plot?

Back

A positive correlation means that as one variable increases, the other variable also increases.

Front

What is a negative correlation in a scatter plot?

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A negative correlation means that as one variable increases, the other variable decreases.