Writing Equations From Word Problems

Front

What is the equation to represent Scott's car bill if he charges $35 for each car plus $7 per hour and Kylie's bill was $63?

Back

7x + 35 = 63

Front

Solve for x: 8w - 8 = -4x + 16. What is the value of x?

Back

x = 2

Front

Write the equation to determine how many rides would make the Frederick County Fair and Montgomery County Fair cost the same, given their entry and ride costs.

Back

15 + 2.5x = 10 + 3x

Front

What is the equation to find out how many miles would need to be driven for two rental car agencies to cost the same?

Back

30 + 0.15x = 36 + 0.10x

Front

Write the equation to show how many blinds you need for Blind Company A and Blind Company B to cost the same.

Back

25 + 5x = 30 + 4x

Front

What does 'x' represent in the equations derived from word problems?

Back

'x' typically represents the unknown quantity we are trying to find.

Front

What is the first step in writing an equation from a word problem?

Back

Identify the variables and what they represent.

Front

How do you determine the total cost in a word problem involving fixed and variable costs?

Back

Add the fixed cost to the product of the variable cost per unit and the number of units.

Front

What is a fixed cost in the context of rental car agencies?

Back

A fixed cost is a cost that does not change regardless of the number of miles driven, such as the daily rental fee.

Front

What is a variable cost in the context of the rental car problem?

Back

A variable cost is a cost that changes based on usage, such as the cost per mile driven.