Solving 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

What does it mean if an equation has no solution?

Back

An equation has no solution when there are no values that can satisfy the equation, often resulting in a contradiction.

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 -3x + 1 = x + 9 - 4x?

Back

Combine like terms on the right side: x + 9 - 4x simplifies to -3x + 9.

Front

What is the solution to the equation 0.75 + 2(a - 0.5) = 3a - 0.4?

Back

The solution is a = 0.15.

Front

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

Back

An equation has infinitely many solutions when any value for the variable satisfies the equation, often resulting in an identity.

Front

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

Back

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

Front

What is the solution to the equation 22 + 2a = 37 + 6 + a?

Back

The solution is a = 21.

Front

What is the solution to the equation -a = 9(a - 10)?

Back

The solution is a = 9.

Front

What is the solution to the equation 2 + 14a = -8 + 9a?

Back

The solution is a = -2.