Systems Word Problems

Front

What is a system of equations?

Back

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

Front

How do you represent the sum of two numbers in an equation?

Back

If x and y are the two numbers, their sum can be represented as x + y = sum.

Front

How do you represent the difference of two numbers in an equation?

Back

If x and y are the two numbers, their difference can be represented as x - y = difference.

Front

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

Back

Identify the equations and the variables involved.

Front

How can you check if a solution to a system of equations is correct?

Back

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

Front

What does it mean if two equations in a system are parallel?

Back

It means they have no solution because they never intersect.

Front

What does it mean if two equations in a system are the same?

Back

It means there are infinitely many solutions because they represent the same line.

Front

In a word problem, how do you identify the variables?

Back

Determine what quantities you need to find and assign a variable to each.

Front

What is the relationship between the number of legs and the number of animals in a word problem?

Back

Each type of animal has a specific number of legs, which can be used to set up equations.

Front

How do you set up an equation for a word problem involving total cost?

Back

Identify the cost per item and the number of items, then use the equation: total cost = cost per item × number of items.