Understanding Linear Equations

This video tutorial covers the basics of linear equations, including definitions and examples of linear and non-linear equations. It explains how to solve linear equations in one variable using simple algebraic manipulations and extends to solving linear equations in two variables using methods like substitution and elimination. The tutorial provides step-by-step examples to illustrate each concept clearly.

What is the highest power of variables in a linear equation?

• 2

• 1

• 0

• 3

Which of the following is a linear equation?

• 3x + 4yz + xz = 80

• 2i + 4/x = 10

• 4x + y = 6

• 2xy + 5 = 10

Why is the equation 2xy + 5 = 10 not considered linear?

• It has a fraction.

• It has a constant term.

• The highest power of variables is 2.

• It has more than two variables.

What is the first step in solving the equation 2x + 20 = 50?

• Subtract 20 from both sides

• Add 20 to both sides

• Divide both sides by 2

• Multiply both sides by 2

In the equation 30 - y = 2y, what should be done to combine the y terms?

• Add y to both sides

• Subtract y from both sides

• Add 2y to both sides

• Subtract 2y from both sides

What is the solution for x in the equation 2/3(x - 1) + 4 = 5?

• x = 5/2

• x = 3

• x = 2

• x = 1

What is the first step in solving the equation 2/3(x - 1) + 4 = 5?

• Multiply both sides by 3

• Subtract 4 from both sides

• Divide both sides by 2

• Add 4 to both sides

What method is used to solve the system of equations x + y = 8 and x - y = 6?

• Matrix

• Substitution

• Graphing

• Elimination

What is the value of x in the system of equations x + y = 8 and x - y = 6?

• x = 6

• x = 9

• x = 7

• x = 8

After finding x = 7 in the system of equations, what is the value of y?

• y = 1

• y = 2

• y = 4

• y = 3