Solving 2-Step equations

Front

What is a 2-step equation?

Back

A 2-step equation is an algebraic equation that requires two operations to solve for the variable. For example, x + 3 = 7 can be solved in two steps.

Front

How do you isolate a variable in a 2-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order. First, eliminate the constant term, then divide or multiply to solve for the variable.

Front

What is the first step to solve the equation: 2x + 3 = 11?

Back

The first step is to subtract 3 from both sides of the equation, resulting in 2x = 8.

Front

What is the second step to solve the equation: 2x = 8?

Back

The second step is to divide both sides by 2, resulting in x = 4.

Front

If 5x - 2 = 18, what is the first step to solve for x?

Back

The first step is to add 2 to both sides of the equation, resulting in 5x = 20.

Front

What is the solution to the equation: 3x + 6 = 15?

Back

The solution is x = 3. First, subtract 6 from both sides to get 3x = 9, then divide by 3.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

What is the equation to find the total weight of 6 bags of apples weighing 2.25 pounds each?

Back

The equation is 2.25 * 6 = total weight.

Front

How do you find the total amount needed if you have raised part of it?

Back

Subtract the amount raised from the total amount needed. For example, if $900 is needed and $432.98 is raised, then $900 - $432.98 = $467.02 is still needed.

Front

What is the formula to calculate the time taken to complete a task at a constant rate?

Back

The formula is: Time = (Number of items) / (Rate of production). For example, if 2 flags take 3 hours, then 5 flags take (5/2) * 3 = 7.5 hours.