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 like addition, subtraction, multiplication, and division.

Front

What does it mean if an equation has 'no solution'?

Back

'No solution' means that there is no value for the variable that makes the equation true.

Front

What does it mean if an equation has 'all real numbers' as a solution?

Back

'All real numbers' means that any value for the variable will satisfy the equation.

Front

Solve for x: 2x + 3 = 2x + 3

Back

All real numbers.

Front

Solve for x: 2x + 3 = 2x + 7

Back

No solution.

Front

Solve for v: 6(6v + 6) - 5 = 1 + 6v

Back

v = -1.

Front

Solve for x: 7(1 - y) = -3(y - 2)

Back

y = 1/4.

Front

What is the first step in solving a multistep equation?

Back

The first step is often to simplify both sides of the equation by combining like terms or distributing.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.

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.