Solving Linear Equations and Properties

The video tutorial on Math Dogs channel explains how to solve a linear equation using a four-step plan. The problem involves distributing a negative number, simplifying both sides, isolating the variable by adding opposites, and dividing by the coefficient to find the solution. The tutorial emphasizes understanding each step to solve the equation effectively.

What is the first step in solving the equation given in the video?

• Add fractions

• Eliminate fractions

• Multiply both sides by 2

• Subtract 10 from both sides

What property is used to simplify the left side of the equation?

• Distributive Property

• Commutative Property

• Associative Property

• Identity Property

What is the result of distributing -4 to 3x?

• 12x

• -12x

• -7x

• 7x

After simplifying, what is the expression on the left side of the equation?

• -12x - 36

• -12x + 36

• 12x + 36

• 12x - 36

What operation is performed to isolate the variable term?

• Subtract 36 from both sides

• Add 36 to both sides

• Divide both sides by 36

• Multiply both sides by 36

What is the result of subtracting 36 from -60?

• -36

• -96

• -24

• -60

What is the final step to solve for x?

• Divide both sides by -12

• Add 12 to both sides

• Multiply both sides by -12

• Subtract 12 from both sides

What is the value of x after solving the equation?

• 8

• 9

• 7

• 6

What is the result of dividing -96 by -12?

• 9

• 8

• 7

• 6