System Word Problems Practice

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 determine the break-even point in a word problem?

Back

The break-even point is where total costs equal total earnings. Set the cost equation equal to the earnings equation and solve for the variable.

Front

What does 'x' typically represent in a system of equations involving quantities?

Back

In a system of equations, 'x' often represents the quantity of one type of item, such as haircuts or apples.

Front

What does 'y' typically represent in a system of equations involving quantities?

Back

In a system of equations, 'y' often represents the quantity of another type of item, such as hair dyes or bananas.

Front

How do you write a system of equations from a word problem?

Back

Identify the variables, translate the relationships and conditions into equations, and express them as a system.

Front

What is the cost equation for Terrence's delivery problem?

Back

Cost = $500 (one-time cost) + $4 per mile driven.

Front

What is the earnings equation for Terrence's delivery problem?

Back

Earnings = $400 + $8 per mile driven.

Front

How do you find the number of cakes needed to break even for the cooking club?

Back

Set the total cost equal to total earnings: Total Cost = $50 + $5 per cake; Total Earnings = $10 per cake.

Front

What is the first equation for Nancy's grocery problem?

Back

4x + 6y = 13 (where x = apples and y = bananas).

Front

What is the second equation for Nancy's grocery problem?

Back

3x + 7y = 13.5 (where x = apples and y = bananas).