Solving Linear Equations

What is the solution to the equation @@-4x = 24@@?

• @@x = -6@@

• @@x = 6@@

• @@x = 0@@

• @@x = 12@@

What is a linear equation?

• A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form of @@ax + b = 0@@, where @@a@@ and @@b@@ are constants.

• A linear equation is an equation of the second degree, typically represented as a quadratic equation.

• A linear equation is a polynomial equation that includes exponents greater than one.

• A linear equation is a type of equation that represents a curve rather than a straight line.

What is the solution to the equation @@5x + 2 = 3x + 10@@?

• x = 2

• x = 3

• x = 4

• x = 5

How do you isolate a variable in a linear equation?

• By performing inverse operations to both sides of the equation.

• By multiplying both sides by the same number.

• By adding the same number to both sides of the equation only.

• By dividing both sides by the variable.

What is the purpose of combining like terms in an equation?

• To make the equation more complex

• To simplify the equation, making it easier to solve.

• To eliminate variables from the equation

• To increase the number of terms in the equation

What is the definition of a coefficient in a linear equation?

• A coefficient is a numerical factor that multiplies a variable, such as the 3 in @@3x@@.

• A coefficient is a constant term that does not change in an equation.

• A coefficient is the sum of all variables in a linear equation.

• A coefficient is the exponent applied to a variable in an equation.

What does it mean to solve for x?

• Finding the value of x that makes the equation true.

• Determining the maximum value of x in a function.

• Calculating the derivative of x in an equation.

• Identifying the roots of a polynomial equation.

What is the solution to the equation @@3x - 9 = 0@@?

What is the solution to the equation @@2x + 3 = 11@@?

• @@x = 2@@

• @@x = 3@@

• @@x = 4@@

• @@x = 5@@

What does it mean for an equation to have no solution?

• An equation has no solution when the variables cancel out and you are left with a false statement, such as @@0 = 5@@.

• An equation has no solution when it can be simplified to a true statement, such as @@2 = 2@@.

• An equation has no solution when it contains only constants and no variables.

• An equation has no solution when it can be solved for one variable in terms of another.