2 step equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that can be solved in two steps, typically involving the use of addition or subtraction followed by multiplication or division.

Front

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

Back

To isolate a variable, perform inverse operations in the reverse order of operations: first eliminate any constant term by adding or subtracting, then eliminate the coefficient by multiplying or dividing.

Front

What is the first step to solve the equation 9x + 10 = 91?

Back

Subtract 10 from both sides to isolate the term with the variable: 9x = 81.

Front

What is the solution to the equation 9x + 10 = 91?

Back

x = 9.

Front

How do you solve the equation 7 + 7x = -14?

Back

First, subtract 7 from both sides to get 7x = -21, then divide by 7 to find x = -3.

Front

What is the solution to the equation 7 + (a/3) = 5?

Back

To solve for a, first subtract 7 from both sides to get (a/3) = -2, then multiply by 3 to find a = -6.

Front

What is the first step to solve the equation 3x - 7 = -28?

Back

Add 7 to both sides to isolate the term with the variable: 3x = -21.

Front

What is the solution to the equation 3x - 7 = -28?

Back

x = -7.

Front

What does it mean to 'solve' an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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.