Col Prep ZAP NW2.2 #2: Systems 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 'x + y = 1550' represent in a word problem?

Back

It represents the total combined value of two variables, x and y, which in this context could be the total yards rushed by two players.

Front

What does 'y = 4x' indicate in a system of equations?

Back

It indicates that the value of y is four times the value of x, showing a direct proportional relationship between the two variables.

Front

How can you find the number of toppings when two pizza companies have the same cost?

Back

Set up a system of equations based on the cost formulas of each company and solve for the variable representing the number of toppings.

Front

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

Back

The first step is to express both equations in a standard form, if necessary, and then use methods like substitution or elimination to find the solution.

Front

What does '5q + 2z = 1.32' represent in a word problem?

Back

It represents the total cost of 5 squash (q) and 2 zucchini (z) equaling $1.32.

Front

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

Back

Coefficients represent the rate of change or the quantity of each variable in the equations, affecting the overall solution.

Front

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

Back

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

Front

What is the purpose of using variables in word problems?

Back

Variables are used to represent unknown quantities, allowing us to formulate equations that can be solved to find these unknowns.