Solving Equations and Inequalities

The video tutorial explains how to solve an equation by isolating the variable. It begins with simplifying both sides of the equation by distributing and combining like terms. The next step involves isolating the variable by adding or subtracting terms. Finally, the solution is found by dividing both sides of the equation. The solution is verified by substituting it back into the original equation to ensure both sides are equal.

What is the first step in solving an equation?

• Isolate the variable on one side

• Multiply both sides by a constant

• Add a constant to both sides

• Divide both sides by a constant

How do you simplify the left side of the equation in this example?

• By adding a constant

• By distributing and combining like terms

• By subtracting a constant

• By dividing by a constant

What operation is used to combine -40 and -4?

• Addition

• Subtraction

• Multiplication

• Division

What is the result of subtracting 28x from both sides of the equation?

• 8x

• -20x

• 0

• 28x

What is the next step after isolating the variable term?

• Add a constant to both sides

• Multiply both sides by a constant

• Divide both sides by a constant

• Subtract a constant from both sides

What is the solution to the equation after dividing both sides by -20?

• x = -160

• x = -8

• x = 8

• x = 160

What is the absolute value of -204?

• -204

• 160

• 204

• -160

Why is it important to check the solution by substituting back into the original equation?

• To change the equation

• To find a different solution

• To simplify the equation further

• To ensure the solution is correct

What is the result of substituting x = 8 back into the original equation?

• Both sides equal 0

• Both sides equal 28

• Both sides equal 8

• Both sides equal 20

What does it mean if both sides of the equation are equal after substitution?

• The equation is unsolvable

• The solution is correct

• The equation needs more terms

• The solution is incorrect