Multi-step Equation & Types of Solutions Review

Front

Solve the equation: 8x - 4 = -9 + 7x

Back

x = -5

Front

Solve the equation: 2n + 34 = -2(1 - 4n)

Back

n = 6

Front

Name the type of solution for an answer in the form of 7 = 7.

Back

infinite solutions

Front

Solve the equation: 3n - 5 = -8(6 + 5n)

Back

n = -1

Front

Solve the equation: 5p - 14 = 8p + 4

Back

p = -6

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving combining like terms and using inverse operations.

Front

What does it mean if an equation has no solution?

Back

It means that there are no values that can satisfy the equation, often resulting in a contradiction.

Front

What is an example of an equation with infinite solutions?

Back

An equation like 2x + 3 = 2x + 3, where both sides are identical.

Front

What is the first step in solving a multi-step equation?

Back

Identify and isolate the variable by using inverse operations.

Front

What does it mean to isolate a variable?

Back

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