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. It often involves combining like terms, using the distributive property, and isolating the variable.

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, meaning the two sides of the equation are always equal.

Front

How do you solve the equation 4 - 6x - 2 = -2(3x - 1)?

Back

Combine like terms and simplify to find that the equation has infinitely many solutions.

Front

What is the first step in solving the equation 8v - 4(v + 8) = 8?

Back

Distribute -4 to both terms inside the parentheses: 8v - 4v - 32 = 8.

Front

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

Back

The solution is v = 10.

Front

How do you solve the equation 3x + 2(4x - 4) = 3?

Back

Distribute 2 to get 3x + 8x - 8 = 3, then combine like terms and isolate x to find x = 1.

Front

What is the solution to the equation 3x + 2(4x - 4) = 3?

Back

The solution is x = 1.

Front

How do you isolate the variable in the equation 4 + k/2 = -3?

Back

Subtract 4 from both sides to get k/2 = -7, then multiply both sides by 2 to find k = -14.

Front

What is the solution to the equation 4 + k/2 = -3?

Back

The solution is k = -14.

Front

How do you solve the equation -4x + 1 = 21?

Back

Subtract 1 from both sides to get -4x = 20, then divide by -4 to find x = -5.