Writing Systems of Equations 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 point(s) where the equations intersect.

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 'combined pay' mean in a word problem?

Back

'Combined pay' refers to the total amount earned by two or more individuals, which can be represented as the sum of their individual earnings.

Front

In the equation 8j + 10b = 80, what do j and b represent?

Back

In this equation, j represents Judy's hourly wage, and b represents Ben's hourly wage.

Front

What does it mean when one person is 'younger than' another in a word problem?

Back

It indicates a relationship where the age of one person is less than the age of another by a specific amount.

Front

How do you set up an equation for total coins in a word problem?

Back

Use the equation d + n = total number of coins, where d is the number of dimes and n is the number of nickels.

Front

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

Back

The first step is to express the equations in a standard form, if they are not already.

Front

What does the term 'flat rate' mean in a cost equation?

Back

A flat rate is a fixed charge that does not change regardless of the quantity or usage.