2 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 11b + 7 = 40?

Back

Subtract 7 from both sides to isolate the term with the variable: 11b = 33.

Front

What is the solution to the equation 4x + 22 = -34?

Back

First, subtract 22 from both sides to get 4x = -56, then divide by 4 to find x = -14.

Front

How do you check the solution of an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 5z - 17 = 13?

Back

Add 17 to both sides to get 5z = 30, then divide by 5 to find z = 6.

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to find the value of that variable that makes the equation true.

Front

What is the second step to solve the equation -5t + 9 = 24?

Back

First, subtract 9 from both sides to get -5t = 15, then divide by -5 to find t = -3.

Front

How do you handle fractions in equations, such as in 7 + a/3 = 5?

Back

To eliminate the fraction, multiply the entire equation by the denominator (3 in this case) to simplify.

Front

What is the solution for a in the equation 7 + a/3 = 5?

Back

Multiply by 3 to get 21 + a = 15, then subtract 21 to find a = -6.