Multistep Equations

Front

What is a multistep equation?

Back

A multistep 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 4 = 2(x + 3)?

Back

The first step is to distribute the 2 on the right side, resulting in 4 = 2x + 6.

Front

How do you solve the equation 6(2n + 5) = 66?

Back

First, divide both sides by 6 to get 2n + 5 = 11, then subtract 5 from both sides to find 2n = 6, and finally divide by 2 to get n = 3.

Front

What is the solution to the equation 4x - 3 = 17?

Back

Add 3 to both sides to get 4x = 20, then divide by 4 to find x = 5.

Front

How do you simplify the equation -2v + v = 3?

Back

Combine like terms to get -v = 3, then multiply by -1 to find v = -3.

Front

What is the solution to the equation x + 2 + 6 = 8?

Back

Combine like terms to get x + 8 = 8, then subtract 8 from both sides to find x = 0.

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 the solution 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.

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.