Understanding One-Step Linear Equations

The video tutorial explains how to solve one-step linear equations using integers. It begins with an introduction to the concept and then provides two examples. The first example involves solving an equation with a negative coefficient by dividing both sides by the negative number. The second example demonstrates solving an equation with a negative fraction by multiplying both sides by the negative denominator. The tutorial emphasizes the importance of performing inverse operations to isolate the variable and solve the equation.

What is the primary goal when solving a one-step linear equation?

• To simplify the equation to zero

• To make both sides of the equation equal

• To eliminate all numbers

• To find the value of the variable

In the equation -6x = 36, what operation should be performed to isolate x?

• Divide both sides by -6

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply both sides by 6

Why is it incorrect to add 6 to both sides in the equation -6x = 36?

• Because 6 is a negative number

• Because adding 6 would not change the equation

• Because the 6 is attached to x by multiplication

• Because 6 is not a factor of 36

What is the solution to the equation -6x = 36?

• x = -36

• x = 36

• x = -6

• x = 6

In the equation -x/3 = -8, what is the first step to simplify the equation?

• Subtract 3 from both sides

• Include the negative sign in the numerator or denominator

• Add 3 to both sides

• Multiply both sides by 3

What operation is used to isolate x in the equation x/(-3) = -8?

• Subtract 3 from both sides

• Divide both sides by -3

• Multiply both sides by -3

• Add 3 to both sides

What is the result of multiplying two negative numbers?

• A negative number

• A positive number

• The same negative number

• Zero

What is the solution to the equation -x/3 = -8?

• x = -24

• x = 24

• x = -8

• x = 8

What is the opposite operation of division?

• Exponentiation

• Addition

• Subtraction

• Multiplication

Why is it important to perform the same operation on both sides of an equation?

• To change the equation's solution

• To eliminate the variable

• To make the equation more complex

• To keep the equation balanced