Solving Equations

Front

What is an equation?

Back

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

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 the first step in solving the equation 4 = 2(x + 3)?

Back

The first step is to simplify the right side by distributing the 2: 4 = 2x + 6.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation -2m - 4 = 10?

Back

m = -7.

Front

What is the process to solve the equation 6(x + 3) = 48?

Back

First, divide both sides by 6, then subtract 3 from both sides to find x.

Front

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

Back

Checking your solution means substituting the found value back into the original equation to verify that both sides are equal.

Front

What is the solution to the equation 3(b - 4) = -3?

Back

b = 3.

Front

What is the importance of balancing an equation?

Back

Balancing an equation ensures that any operation performed on one side must also be performed on the other side to maintain equality.

Front

What is the solution to the equation 4 = 2(x + 3)?

Back

x = -1.