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, often involving operations such as addition, subtraction, multiplication, and division.

Front

What is the first step in solving the equation 2a - 4(a - 5) = 10?

Back

Distribute -4 to a and -5.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

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

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

Back

An equation has 'infinitely many solutions' when any value of the variable satisfies the equation, often resulting in a true statement.

Front

Back

Front

What is the purpose of distributing in an equation?

Back

Distributing is used to eliminate parentheses by multiplying each term inside the parentheses by the factor outside.

Front

Solve the equation: 4 - 6x - 2 = -2(3x - 1)

Back

Infinitely many solutions.

Front

Which equation will end in 'no solution'? 2w - 11 = 3w + 5 or w + 7 + w = 2w - 9?

Back

w + 7 + w = 2w - 9.

Front

What is the solution to the equation -15 = 5a + 12 - 2a + 6?

Back

a = -11.