Test Review: Systems of Equations 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 ensure the equations reflect the problem's constraints.

Front

What does it mean for two companies to have the same cost?

Back

It means that the total cost equations for both companies are equal, allowing us to set their equations equal to each other to find the number of items (like toppings) that make the costs the same.

Front

How do you find the number of toppings when given the cost equations of two pizzas?

Back

Set the cost equations equal to each other and solve for the variable representing the number of toppings.

Front

What is the significance of coefficients in a system of equations?

Back

Coefficients represent the rate of change or the amount associated with each variable in the equations.

Front

How can you determine the cost of coffee and doughnuts from a word problem?

Back

Set up a system of equations based on the total costs and quantities purchased, then solve for the variables representing the costs.

Front

What does the term 'sum' refer to in a system of equations?

Back

The sum refers to the total when two or more numbers are added together, often represented as an equation in the form x + y = total.

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What does the term 'difference' refer to in a system of equations?

Back

The difference refers to the result of subtracting one number from another, often represented as an equation in the form x - y = difference.

Front

How do you interpret the solution of a system of equations?

Back

The solution represents the values of the variables that satisfy all equations in the system simultaneously.

Front

What is the role of constants in equations?

Back

Constants are fixed values that do not change, representing quantities that are known in the context of the problem.