Writing Equations from Word Problems

Front

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

Back

Identify the variables and what they represent in the context of the problem.

Front

What does the equation 2x + 26 = 100 represent in a word problem?

Back

It represents a scenario where a wood board is cut into two pieces, one piece being 26 cm longer than the other, and the total length is 100 cm.

Front

How do you express a cost that includes a fixed fee and a variable cost?

Back

Use the expression: Total Cost = Fixed Fee + (Variable Cost per Item × Number of Items).

Front

What does the equation 3x + 2 represent in a word problem about cookies?

Back

It represents the total cost of x cookies at $3 each plus a $2 boxing fee.

Front

What is the meaning of the equation 0.5x = 26 in a word problem?

Back

It indicates that two people split an amount of money evenly, with each receiving $26.

Front

How can you model a situation where you spend a total amount on multiple items?

Back

Use the equation: Cost of Items × Number of Items + Additional Costs = Total Amount Spent.

Front

What does the equation 10.95x + 12.57 = 89.22 represent?

Back

It represents the total cost of x pizzas at $10.95 each plus $12.57 spent on sodas, totaling $89.22.

Front

What is a variable in an equation?

Back

A symbol (often x) that represents an unknown value in a mathematical expression.

Front

What does the equation 7x + 2 = 30 represent in a word problem?

Back

It represents the cost of buying 7 pet turtles at $7 each plus $2 for turtle food, totaling $30.

Front

How do you determine the number of items purchased from an equation?

Back

Isolate the variable by rearranging the equation to solve for it.