Solving Linear Equations and Operations

The video tutorial covers solving single-variable algebraic equations. It begins with simple substitution to verify solutions, then moves on to balancing equations using subtraction. The tutorial also addresses solving quadratic equations by taking square roots and solving equations using multiplication and division. Finally, it tackles more complex equations, emphasizing a step-by-step approach to isolate the variable. The consistent theme is maintaining balance in equations by performing the same operations on both sides.

What is the result when you substitute p = 7 in the equation 5p + 1 = 36?

• True

• False

• Cannot be determined

• None of the above

What operation is performed first when solving 5 * 7 + 1 = 36?

• Multiplication

• Subtraction

• Division

• Addition

What is the solution to the equation x + 17 = 20?

• x = 3

• x = 17

• x = 20

• x = 37

What is the first step in solving x + 17 = 20?

• Add 17 to both sides

• Subtract 17 from both sides

• Multiply both sides by 17

• Divide both sides by 17

What is the solution to the equation x + 17 = 20 after isolating x?

• x = 1

• x = 2

• x = 3

• x = 4

What is the result of subtracting 17 from both sides in the equation x + 17 = 20?

• x = 2

• x = 3

• x = 4

• x = 1

What is the value of n in the equation n^2 + 11 = 36?

• n = 5

• n = 6

• n = 7

• n = 8

What operation is used to solve n^2 + 11 = 36 after subtracting 11 from both sides?

• Multiplication

• Addition

• Subtraction

• Square root

What is the result of taking the square root of both sides in the equation n^2 = 25?

• n = 5

• n = 3

• n = 6

• n = 4

What is the first step in solving n^2 + 11 = 36?

• Multiply both sides by 11

• Add 11 to both sides

• Divide both sides by 11

• Subtract 11 from both sides