Two-Step Equations Review

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. Typically, it involves isolating the variable by performing an inverse operation twice.

Front

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

Back

To isolate a variable in a two-step equation, you perform inverse operations in the reverse order of operations. First, eliminate any constant added or subtracted from the variable, then eliminate any coefficient multiplied or divided with the variable.

Front

What is the first step to solve the equation 4y + 11 = 23?

Back

The first step is to subtract 11 from both sides of the equation to isolate the term with the variable: 4y = 23 - 11.

Front

What is the solution to the equation 65 = 8x + 25?

Back

To solve for x, first subtract 25 from both sides to get 40 = 8x, then divide both sides by 8 to find x = 5.

Front

How do you check the solution of a two-step equation?

Back

To check the solution, substitute the value of the variable back into the original equation and verify that both sides of the equation are equal.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

How do you solve the equation 54 = (7/5)x + 5?

Back

First, subtract 5 from both sides to get 49 = (7/5)x. Then, multiply both sides by the reciprocal of (7/5), which is (5/7), to find x = 35.

Front

What does it mean to have a variable on one side of the equation?

Back

Having a variable on one side of the equation means that the equation is set up to solve for that variable, allowing you to find its value.

Front

What is the solution to the equation (x/3) - 7 = 1?

Back

To solve for x, first add 7 to both sides to get (x/3) = 8. Then, multiply both sides by 3 to find x = 24.