Writing Systems from Word Problems

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations in the system.

Front

How do you represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships and conditions into equations, and express them in standard form.

Front

What does it mean to solve a system of equations?

Back

To find the values of the variables that make all equations in the system true.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

What is a linear equation?

Back

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

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What is the y-intercept of a line?

Back

Front

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

Back

Substitute the values of the variables back into the original equations to see if they satisfy all equations.

Front

What is a word problem?

Back

A word problem is a mathematical problem presented in the form of a narrative, requiring interpretation and translation into mathematical expressions.