Multi-step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations on both sides of the equation to get the variable alone on one side.

Front

What does it mean to have no solution in an equation?

Back

No solution means that there are no values that can be substituted for the variable that will make the equation true.

Front

What is the first step in solving the equation f - 4 = 6f + 26?

Back

The first step is to add 4 to both sides to begin isolating the variable f.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

The solution is x = -6.

Front

What does it mean if an equation has infinitely many solutions?

Back

Infinitely many solutions occur when the equation simplifies to a true statement for all values of the variable.

Front

How do you check if your solution to an equation is correct?

Back

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

Front

What is the solution to the equation -166 = 7x + 3(6x + 3)?

Back

The solution is x = -7.

Front

What is the significance of parentheses in equations?

Back

Parentheses indicate that the operations inside them should be performed first according to the order of operations.

Front

What is the solution to the equation -(n - 8) = -2?

Back

The solution is n = 10.