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 undo addition or subtraction, then undo multiplication or division.

Front

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

Back

Subtract 3 from both sides to get 2x = 8.

Front

What is the solution to the equation 2x = 8?

Back

Divide both sides by 2 to find x = 4.

Front

If 4x - 5 = 11, what is the first step to solve for x?

Back

Add 5 to both sides to get 4x = 16.

Front

What is the solution to the equation 4x = 16?

Back

Divide both sides by 4 to find x = 4.

Front

How can you check if x = 4 is a solution to the equation 2x + 3 = 11?

Back

Substitute 4 into the equation: 2(4) + 3 = 8 + 3 = 11, which is true.

Front

What does it mean to 'balance' an equation?

Back

Balancing an equation means keeping both sides equal by performing the same operation on both sides.

Front

What is the equation that represents the situation: 'A school ordered 3 large boxes of board markers. After giving 15 markers to each of 3 teachers, there were 90 markers left.'?

Back

Let x be the number of markers in each box: 3x - 3(15) = 90.

Front

What is the solution to the equation 331 = 6x + 7?

Back

Subtract 7 from both sides to get 324 = 6x, then divide by 6 to find x = 54.