Solving Multistep Equations with Special Solutions

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Front

Solve for x: 2x + 3 = 11

Back

x = 4

Front

What is a special solution in the context of equations?

Back

A special solution refers to cases where an equation has infinitely many solutions or no solution at all.

Front

Solve for x: 3(x - 2) = 9

Back

x = 5

Front

What is the first step in solving the equation 4x + 1 = 8x - 3?

Back

The first step is to move all terms involving x to one side and constant terms to the other side.

Front

Solve for f: f - 4 = 6f + 26

Back

f = -6

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.

Front

Solve: 2(4x - 3) - 8 = 4 + 2x

Back

x = 3

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.