CYU 4.7 Word Problems - Equations

Front

What is a variable in an equation?

Back

A symbol, often a letter, that represents an unknown value in an equation.

Front

What does it mean to solve an equation?

Back

To find the value of the variable that makes the equation true.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What is the purpose of using equations in word problems?

Back

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

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to get the variable alone on one side of the equation.

Front

What is the equation for calculating total cost when splitting expenses?

Back

Total Cost = Number of People × Cost per Person.

Front

If you have an equation 3x + 5 = 20, how do you solve for x?

Back

Subtract 5 from both sides to get 3x = 15, then divide by 3 to find x = 5.

Front

What does it mean to check your solution in an equation?

Back

To substitute the found value back into the original equation to verify it holds true.

Front

What is a word problem?

Back

A mathematical problem presented in a narrative form that requires interpretation and solution.

Front

How can you represent a situation where you save money weekly?

Back

Using the equation: Total Savings = Initial Savings + (Weekly Savings × Number of Weeks).