Isolating Variables in Equations

The video tutorial covers solving linear equations through five examples. It begins with simple equations and progresses to more complex ones involving parentheses and fractions. The tutorial emphasizes the importance of performing operations on both sides of the equation to maintain equality. Each example demonstrates different techniques for isolating the variable, such as using the distributive property and handling variables on both sides of the equation.

What is the first step to isolate x in the equation -6x = 42?

• Subtract 6 from both sides

• Add 6 to both sides

• Multiply both sides by -6

• Divide both sides by -6

After dividing both sides of -6x = 42 by -6, what is the value of x?

• 7

• -6

• 6

• -7

In the equation 5x - 3 = -33, what should be done first to solve for x?

• Multiply by 5

• Add 3 to both sides

• Divide by 5

• Subtract 5 from both sides

What is the result of adding 3 to both sides of 5x - 3 = -33?

• 5x = -27

• 5x = -36

• 5x = -33

• 5x = -30

What is the final value of x in the equation 5x - 3 = -33?

• -5

• -6

• -7

• -8

In the equation -3(-2x + 20) + 8(x + 12) = 92, what is the first step?

• Combine like terms

• Subtract 8 from both sides

• Distribute -3 and 8

• Add 20 to both sides

After distributing -3 and 8 in the equation, what is the expression for the left side?

• -6x - 60 - 8x - 96

• -6x + 60 - 8x + 96

• 6x + 60 + 8x - 96

• 6x - 60 + 8x + 96

What is the combined expression of like terms in the equation -3(-2x + 20) + 8(x + 12) = 92?

• 14x + 96

• 14x - 96

• 14x + 36

• 14x - 36

What is the final value of x in the equation -3(-2x + 20) + 8(x + 12) = 92?

• 3

• 2

• 4

• 5

In the equation x + y/z - a = b, what is the first step to solve for y?

• Subtract x from both sides

• Divide by z

• Multiply by z

• Add a to both sides