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 solve, often involving operations such as addition, subtraction, multiplication, and division.

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 first step in solving the equation \(\frac{a-5}{7}=3\)?

Back

Multiply both sides by 7 to eliminate the fraction.

Front

What is the solution to the equation \(6x + 5x - 8 + 2 = 5\)?

Back

Combine like terms to simplify the equation, then isolate x to find the solution, which is 1.

Front

How do you solve the equation \(24 = 3(3x - 7)\)?

Back

Distribute the 3 on the right side, then isolate x to find the solution, which is 5.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the solution to the equation \(20 + 4x - 3 + x = 2\)?

Back

Combine like terms and isolate x to find the solution, which is -3.

Front

How do you solve the equation \(\frac{x}{4} + 8 = 2\)?

Back

Subtract 8 from both sides, then multiply both sides by 4 to isolate x, resulting in the solution -24.

Front

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

Back

Checking your solution ensures that the value satisfies the original equation, confirming that it is correct.

Front

What are inverse operations?

Back

Inverse operations are pairs of operations that undo each other, such as addition and subtraction or multiplication and division.