1.3 Multi-Step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to isolate the variable and solve for its value.

Front

How do you isolate a variable in a multi-step equation?

Back

To isolate a variable, you perform inverse operations to move terms away from the variable until it is alone on one side of the equation.

Front

What is the first step in solving the equation: x - 5 = 7 - 2x?

Back

Add 2x to both sides of the equation.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power to simplify an expression.

Front

How do you solve the equation: 2 + 14a = -8 + 9a?

Back

First, subtract 9a from both sides to get 14a - 9a = -8 - 2, then simplify to find a.

Front

What is the solution to the equation -5x = 25?

Back

To solve for x, divide both sides by -5, resulting in x = -5.

Front

What is the result of combining the terms 6x + 2x + 1 + 4?

Back

The result is 8x + 5.

Front

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

Back

Inverse operations are used to undo operations applied to the variable, allowing you to isolate it and find its value.

Front

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

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

Front

What is the general strategy for solving multi-step equations?

Back

The general strategy includes simplifying both sides, isolating the variable, and checking the solution.