Solving Equations and Word Problems

The video tutorial introduces the substitution method for solving equations, providing examples and exercises. It begins with an overview of substitution, followed by a detailed example of solving equations using this method. The tutorial then presents a word problem to demonstrate the application of substitution in real-life scenarios. Finally, it offers exercises for practice and an exit ticket to assess understanding.

What is the main advantage of using the substitution method over elimination?

• It can handle equations with infinite solutions more easily.

• It requires fewer steps than elimination.

• It avoids graphing entirely.

• It is faster for all types of equations.

In the example where the sum of two numbers is 361 and their difference is 173, what is the first step in using substitution?

• Express one variable in terms of the other.

• Graph the equations.

• Subtract the two equations.

• Add the two equations together.

When solving the school students problem, what equation represents the total number of students?

• Boys + Girls = 356

• Boys - Girls = 356

• Boys + Girls = 173

• Boys - Girls = 173

In the farm animals exercise, what does the equation 4x + 2y = 114 represent?

• The sum of cows and chickens.

• The total number of legs.

• The total number of animals.

• The difference in the number of cows and chickens.

How do you express the length in terms of width in the rectangle problem?

• Length = Width + 4

• Length = 4 * Width

• Length = Width - 4

• Length = Width / 4

What is the area of the rectangle if the width is 4.5 and the length is 18?

• 72 square inches

• 100 square inches

• 81 square inches

• 90 square inches

In the exit ticket exercise, what is the sum of the two numbers?

• 1730

• 730

• 1212

• 518

What is the difference between the two numbers in the exit ticket exercise?

• 730

• 518

• 1212

• 1730

What is the first step in solving the exit ticket problem using substitution?

• Subtract the two equations.

• Add the two equations.

• Express one number in terms of the other.

• Graph the equations.

What is the final step in solving the exit ticket problem?

• Add the two numbers.

• Graph the solution.

• Subtract the two numbers.

• Check the solution by substituting back.