Solving Linear Equations in One Variable

What is the form of a linear equation discussed in the video?

• ax^2 + b = 0

• a/x + b = 0

• ax + b = 0

• ax^2 + bx + c = 0

Why must the 'a' value in the equation ax + b = 0 not be zero?

• Because it would make the equation quadratic

• Because it would make the equation undefined

• Because it would eliminate the variable x

• Because it would make the equation non-linear

What is the result of simplifying the equation 2x + x = 3/9?

• 2x = 3/9

• 3x = 3/9

• 2x = 1/3

• 3x = 1/3

How do you isolate x in the equation x - 3 = 7?

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply both sides by 3

• Divide both sides by 3

What operation would you use to solve x + 7 = 13?

• Multiplication

• Subtraction

• Division

• Addition

How do you solve the equation x/3 = 5?

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 3

• Divide both sides by 3

What is the solution to the equation 3x = 12?

• x = 36

• x = 3

• x = 4

• x = 12

What is the first step in solving the equation 5x + 2 = 2(2x - 3)?

• Combine like terms

• Use the distributive property

• Add 2 to both sides

• Subtract 2 from both sides

How do you handle fractions when solving the equation 5y - 2/8 = 2 + y/4?

• Find the least common denominator

• Add the fractions directly

• Multiply both sides by 2

• Divide both sides by 4

What is the solution to the equation 5y - 2/8 = 2 + y/4?

• y = 5

• y = 4

• y = 6

• y = 7