Task 3 - Solving One Step Linear Equations

Front

What is a one-step linear equation?

Back

A one-step linear equation is an equation that can be solved in a single operation, such as addition, subtraction, multiplication, or division, to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform the inverse operation on both sides of the equation to get the variable by itself.

Front

What is the inverse operation of addition?

Back

Subtraction.

Front

What is the inverse operation of subtraction?

Back

Addition.

Front

In the equation 10x = 90, what operation is being performed on x?

Back

Multiplication by 10.

Front

How do you solve the equation x + 7 = 12?

Back

Subtract 7 from both sides to isolate x, resulting in x = 5.

Front

What is the solution to the equation 18 + n = 31?

Back

n = 31 - 18, so n = 13.

Front

How do you solve the equation N/13 = 12?

Back

Multiply both sides by 13 to isolate N, resulting in N = 156.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to cancel out terms and isolate the variable, allowing for the solution of the equation.

Front

What does it mean to perform the same operation on both sides of an equation?

Back

It means to maintain the equality of the equation while manipulating it to isolate the variable.