Word Problem Equations

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the equation for finding the total cost when buying multiple items?

Back

Total Cost = Price per Item × Number of Items.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to get the variable on one side of the equation and the constants on the other.

Front

What is the first step in solving the equation 4x = 44?

Back

Divide both sides of the equation by 4 to isolate x.

Front

If x + 3 = 17, what is the value of x?

Back

x = 14.

Front

What is the purpose of using equations in word problems?

Back

Equations help translate real-world situations into mathematical expressions that can be solved.

Front

How do you set up an equation for a word problem involving money spent?

Back

Identify the total amount, the amount spent, and set up the equation as: Total Amount = Amount Spent + Remaining Amount.

Front

What does the equation 1.15x = 5.75 represent in a word problem?

Back

It represents the relationship between the cost of rolls of tape and the total amount of money available.

Front

What is the solution to the equation 18x = 324?

Back

x = 18.