Solving Linear Equations Concepts

This video tutorial demonstrates solving linear equations in one variable through two examples. The first example involves simplifying both sides of the equation, isolating the variable, and solving for x. The second example follows a similar process but includes variable terms on both sides, requiring additional steps to isolate the variable. The tutorial emphasizes simplifying expressions, distributing terms, and performing arithmetic operations to find the solution.

What is the first step in solving a linear equation with multiple steps?

• Adding constants

• Combining like terms

• Simplifying both sides of the equation

• Isolating the variable

When distributing -7 in the first equation, what is the result of -7 * 1?

• -7

• -1

• 0

• 7

After simplifying the first equation, what operation is used to isolate the variable term?

• Addition

• Subtraction

• Multiplication

• Division

What is the solution for x in the first equation after solving?

• x = 5

• x = 10

• x = -10

• x = 0

What is the result of dividing -70 by -7 in the first equation?

• 7

• -10

• 10

• 0

In the second equation, what is the result of distributing 8 to -2?

• 16

• -16

• -8

• 8

What is the combined result of the constants -16 and -7 in the second equation?

• -9

• 23

• -23

• 9

To solve the second equation, what operation is performed to eliminate the variable term on one side?

• Add 25x

• Subtract 25x

• Divide by 25

• Multiply by 25

What is the final solution for x in the second equation?

• x = 5

• x = 10

• x = -10

• x = 0

What is the purpose of dividing both sides by -7 in the final step of solving the equations?

• To check the solution

• To isolate the variable

• To simplify the equation

• To eliminate the constant