Multistep equations

Front

What is a multistep equation?

Back

A multistep 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, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the first step in solving the equation 2x = x + 3?

Back

Subtract x from both sides to simplify the equation to x = 3.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Solve for x: 7x = 3x + 24.

Back

x = 6.

Front

What is the solution to the equation 10(h + 1) - 4 = 76?

Back

h = 7.

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 -55 + 4x = 80 + 9x?

Back

x = -27.

Front

What does it mean to have a negative solution in an equation?

Back

A negative solution indicates that the value of the variable is less than zero, which can have different interpretations depending on the context.

Front

Solve for x: 4 = 2(x + 3).

Back

x = -1.