Solving Linear Equations and Functions

The video tutorial demonstrates how to solve a linear equation using the guess and check method with a TI 30x s multi-view calculator. It begins with an introduction to the problem and the setup of the equation. The instructor then uses the calculator to test different values for the variable y, starting with y=1, and evaluates both sides of the equation. After finding that y=1 is not a solution, the instructor demonstrates that y=40 is the correct solution by verifying that both sides of the equation are equal when y=40.

What method is used in the video to solve linear equations?

• Graphical method

• Substitution method

• Guess and check method

• Elimination method

Which calculator model is used in the video tutorial?

• HP 35s

• Casio FX-991EX

• TI 30x S Multi-View

• TI 84 Plus

What is the sample equation used in the video?

• 4x - 3 = 2x + 1

• y/2 + 5 = 10

• 3.2y - 5 = 3 + 2(1.4y + 4)

• 2x + 3 = 7

What is the purpose of drawing a vertical line between the equation sides?

• To keep track of the work

• To separate the variables

• To highlight the solution

• To simplify the equation

What value of y is first substituted into the equation?

• 2

• 0

• 3

• 1

What is the result of the left-hand side when y = 1?

• 0

• 3.2

• 1.8

• -1.8

What is the result of the right-hand side when y = 1?

• 10.5

• 7.2

• 5.6

• 13.8

Why does y = 1 not work as a solution?

• The left-hand side is greater than the right-hand side

• The equation is not linear

• Both sides are equal

• The right-hand side is greater than the left-hand side

What is the correct value of y that solves the equation?

• 20

• 40

• 10

• 30

How is the value of y stored in the calculator?

• Using the reset function

• Using the memory function

• Using the store key

• Using the clear key