Two Step Equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

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

Back

To isolate a variable, perform the inverse operations in reverse order: first eliminate the constant term, then the coefficient of the variable.

Front

What is the first step to solve the equation 8v - 4(v + 8) = 8?

Back

Distribute the -4 to both terms inside the parentheses: 8v - 4v - 32 = 8.

Front

What is the solution to the equation 8x - 6x + 4 + 5 = 19?

Back

Combine like terms to get 2x + 9 = 19, then isolate x to find x = 5.

Front

How do you solve for a in the equation 7 + a/3 = 5?

Back

Subtract 7 from both sides to get a/3 = -2, then multiply both sides by 3 to find a = -6.

Front

What is the solution to the equation -4x + 1 = 21?

Back

Subtract 1 from both sides to get -4x = 20, then divide by -4 to find x = -5.

Front

How do you solve the equation x/4 - 3 = 9?

Back

Add 3 to both sides to get x/4 = 12, then multiply both sides by 4 to find x = 48.

Front

What is the importance of checking your solution in a two-step equation?

Back

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

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?

Back

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