Solving Equations Test Review

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the first step to solve the equation 9x = 153?

Back

Divide both sides by 9.

Front

What does it mean to solve for x in an equation?

Back

It means to find the value of x that makes the equation true.

Front

What is the solution to the equation 6(2x + 1) = 18?

Back

x = 1.

Front

How do you solve the equation x - 3 = -12?

Back

Add 3 to both sides to get x = -9.

Front

What is the solution to the equation 4x + 1 = 7x - 5?

Back

x = 2.

Front

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

Back

Inverse operations help to cancel out terms and isolate the variable.

Front

What does it mean if an equation has no solution?

Back

It means there is no value for the variable that can satisfy the equation.

Front

What is the solution to the equation 4x + 1 = 7x - 5?

Back

x = 2.

Front

What is the process of checking your solution in an equation?

Back

Substitute the solution back into the original equation to verify both sides are equal.