Multistep Equations

Front

What is a multistep equation?

Back

An equation that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.

Front

What does it mean to simplify an equation?

Back

To reduce an equation to its simplest form by combining like terms and eliminating parentheses.

Front

What is a coefficient in an equation?

Back

A numerical factor that multiplies a variable, such as the '6' in '6x'.

Front

What is a constant in an equation?

Back

A fixed value that does not change, such as the '12' in '6x + 12'.

Front

What is a variable in an equation?

Back

A symbol, often a letter, that represents an unknown value, such as 'x' in '6x'.

Front

How do you solve the equation 6x - 2(x-5) = 46?

Back

First, distribute: 6x - 2x + 10 = 46. Then combine like terms: 4x + 10 = 46. Subtract 10 from both sides: 4x = 36. Finally, divide by 4: x = 9.

Front

What is the first step in solving 5x + 3(x+4) = 28?

Back

Distribute the 3: 5x + 3x + 12 = 28.

Front

What is the solution to the equation 6x + 12 = 36?

Back

Subtract 12 from both sides: 6x = 24. Then divide by 6: x = 4.

Front

What does it mean to isolate a variable?

Back

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

Front

What is the result of combining like terms in the equation 6x - 3x + 12 = 36?

Back

The result is 3x + 12 = 36.