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

Solve the equation: 2(x + 5) = 2x + 5

Back

No solution.

Front

What is the solution to the equation: 8v - 4(v + 8) = 8?

Back

10.

Front

Identify the equation with no solution: 2x + 1 = 5x - 3, 2(x - 7) = 2x-14, 3(2x+1) = 6x+1, 15x - 30 = 0.

Back

3(2x+1) = 6x+1.

Front

Solve the equation: 2x - 3 + 4x = 27.

Back

5.

Front

Which equation has a solution of x = 1? 2x + 1 = 12, 5x - 2 = 3, x + 1 = x - 1, 5 - x = 6.

Back

5x - 2 = 3.

Front

What is the first step in solving a multi-step equation?

Back

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

Front

What does it mean to isolate the variable in an equation?

Back

To isolate the variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming that it is correct.