Solving Linear Equations and Inequalities

The video tutorial explains how to solve a linear equation problem where the sum of two numbers is 18, and one number is twice the other. The teacher guides through setting up equations, solving them using substitution, and verifying the solution. The final answer is that the numbers are 12 and 6.

What is the sum of the two numbers in the problem?

• 20

• 22

• 16

• 18

If one number is twice the other, which equation represents this relationship?

• a + b = 18

• b = 2a

• a = b

• a = 2b

What is the relationship between a and b in the problem?

• a is half of b

• a is three times b

• a is twice b

• a is equal to b

What is the first step in solving the equations?

• Add a and b

• Substitute a = 2b into a + b = 18

• Subtract b from a

• Multiply a by 2

After substituting a = 2b into the equation a + b = 18, what is the resulting equation?

• b = 9

• 2b = 18

• b = 18

• 3b = 18

What is the value of b after solving the equation 3b = 18?

• 3

• 12

• 6

• 9

What is the equation used to find b?

• b = 18

• 3b = 18

• b = 9

• b = 6

How do you find the value of a once b is known?

• a = b

• a = 2b

• a = b/2

• a = b + 2

What is the value of a when b is 6?

• 12

• 14

• 10

• 16

What is the value of a when b is 6?

• 10

• 12

• 14

• 16