Multistep Equations with Variables on both sides

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving combining like terms, using the distributive property, and isolating the variable.

Front

What does it mean to have variables on both sides of an equation?

Back

Having variables on both sides of an equation means that the variable appears on both the left and right sides, requiring manipulation to isolate the variable.

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 and eliminating parentheses.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to move all terms containing the variable to one side of the equation and constant terms to the other side.

Front

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

Back

An equation has 'no solution' if there are no values for the variable that can satisfy the equation, often resulting in a false statement.

Front

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

Back

An equation has 'many solutions' if any value for the variable satisfies the equation, often resulting in a true statement regardless of the variable's value.

Front

Solve for x: x + 2 = x + 4

Back

no solution

Front

Solve for w: 10w - 6w = 23 + 5

Back

w = 7

Front

Solve for a: 6a + 3 - 4a = 9

Back

a = 3

Front

Solve for x: 20 - 4x = 6x

Back

x = 2