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

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable by itself on one side of the equation.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Translate: 'Four times a number plus six IS 30.'

Back

4x + 6 = 30

Front

Solve: 2x - 3 + 4x = 27

Back

x = 5

Front

Translate into an expression: '4 less than two times a number.'

Back

2x - 4

Front

What does 'no solution' mean in the context of equations?

Back

'No solution' means that there is no value for the variable that will satisfy the equation.

Front

Solve: 8z - 22 = 3(3z + 11) - z

Back

No Solution

Front

Combine like terms and solve: 3y + 6 + 4y - 7 = -8

Back

y = -1