Solving Linear Equations and Operations

The video tutorial covers solving different types of equations, including simple addition, multiplication, and fractional equations. It emphasizes understanding the equality principle and systematically isolating variables. The tutorial also demonstrates solving equations with different variables, such as q, z, and s, and verifies solutions through substitution.

What is the first step in solving the equation x + 11 = 7?

• Divide both sides by 11

• Multiply both sides by 11

• Subtract 11 from both sides

• Add 11 to both sides

If 7x = 21, what operation should be performed to solve for x?

• Divide both sides by 7

• Multiply both sides by 7

• Subtract 7 from both sides

• Add 7 to both sides

How can you solve the equation 5x/12 = 2/3?

• Multiply both sides by 5/12

• Multiply both sides by 12/5

• Divide both sides by 12/5

• Divide both sides by 5/12

What is the equivalent operation to dividing by a fraction?

• Dividing by the inverse of the fraction

• Adding the fraction

• Subtracting the fraction

• Multiplying by the inverse of the fraction

What is the inverse of the coefficient in the equation 5x/12 = 2/3?

• 3/2

• 2/3

• 5/12

• 12/5

In the equation q - 13 = -13, what is the value of q?

• 0

• 13

• -13

• 26

What is the solution to the equation z + 1.1 = 3.0001?

• 0.9001

• 1.9001

• 3.9001

• 2.9001

How do you solve the equation 21s = 3?

• Multiply both sides by 21

• Add 21 to both sides

• Subtract 21 from both sides

• Divide both sides by 21

What is the result of 3.0001 minus 1.1?

• 1.9001

• 1.1001

• 0.9001

• 2.0001

What is the value of s in the equation 21s = 3?

• 21

• 7

• 1/7

• 3/21