Write and Solve Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is a variable in mathematics?

Back

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

Front

What is the purpose of using equations in real-life situations?

Back

Equations help us model and solve problems involving relationships between quantities.

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 side.

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

The first step is to subtract 3 from both sides of the equation.

Front

If you have the equation x - 5 = 10, what is the value of x?

Back

x = 15.

Front

What does the equation 32m = 624 represent in a real-world context?

Back

It represents the total cost of comics for 32 members, where m is the cost per member.

Front

How do you check if your solution to an equation is correct?

Back

You substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 3x = 12?

Back

x = 4.