Evaluating Linear Equations and T-tables

In this video, Andrew Blake explains how to evaluate linear equations with two variables. The lesson is divided into three parts: evaluating equations with given values, solving for a variable when one is known, and constructing T tables. Examples include evaluating y = 2x + 5 and y = 3x + 4. The video also covers solving for the remaining variable in a two-variable equation and creating T tables to list values that satisfy the equation. The lesson emphasizes using parentheses when substituting values and following the order of operations.

What is the first step in evaluating a linear equation with two variables?

• Graph the equation

• Plug in the given values for the variables

• Solve for y

• Multiply the coefficients

In the equation y = 2x + 5, if x = 4 and y = 13, what should you do first?

• Divide y by 2

• Subtract 5 from y

• Add 5 to x

• Multiply 2 by x

What does it mean if the values you plug into a linear equation result in a true statement?

• The equation is incorrect

• The values satisfy the equation

• The equation has no solution

• The values do not satisfy the equation

If the equation y = 3x + 4 is given and x = 0, what is the value of y?

• 4

• 3

• 6

• 0

What should you do if the given values do not satisfy the equation?

• Change the equation

• Find the correct value of the variable

• Ignore the values

• Graph the equation

How can you find the value of one variable if the other is given in a two-variable equation?

• By using a calculator

• By solving the equation for the remaining variable

• By graphing

• By guessing

In the equation 2x + 5y = 13, if x = 4, what is the first step to find y?

• Divide 13 by 2

• Add 5 to 4

• Multiply 2 by 4

• Subtract 5 from 13

What is a T-table used for in evaluating linear equations?

• To list values that satisfy the equation

• To solve for x

• To find the slope

• To graph the equation

When creating a T-table, what is a good rule of thumb for choosing x values?

• Choose values greater than 10

• Choose only positive values

• Choose values from -2 to 2

• Choose only even numbers

In a T-table, if x = -2 for the equation y = 2x + 10, what is y?

• 6

• 8

• 10

• 12