Solving Linear Equations in One Variable

What is the first step in solving a linear equation in one variable?

• Multiply both sides by a constant

• Add a constant to both sides

• Combine like terms

• Isolate the variable

In the equation 4x + 9 = -11, what is the result after transposing 9 to the other side?

• 4x = -2

• 4x = -20

• 4x = -11

• 4x = -9

What is the value of x in the equation 4x + 9 = -11?

• -5

• 5

• -2

• 2

In the equation 5x - 9 = -3x + 19, what is the first step?

• Combine like terms

• Divide both sides by 5

• Transpose -9 to the other side

• Transpose -3x to the left side

What is the simplified form of the equation 5x - 9 = -3x + 19 after combining like terms?

• 2x = 28

• 8x = 20

• 8x = 28

• 2x = 20

What is the value of x in the equation 5x - 9 = -3x + 19?

• 7/2

• 7

• 2/7

• 4

In the equation x + 2(x + 4) = 44, what is the first step?

• Divide both sides by 2

• Transpose 4 to the other side

• Eliminate the grouping symbol

• Combine like terms

What is the simplified form of the equation x + 2(x + 4) = 44 after eliminating the grouping symbol?

• 3x + 8 = 44

• 3x + 4 = 44

• x + 4 = 44

• x + 8 = 44

What is the value of x in the equation x + 2(x + 4) = 44?

• 10

• 16

• 12

• 14

What method is used to verify the solution of a linear equation?

• Graphical method

• Substitution method

• Checking method

• Elimination method