Isolating Variables in Equations

The video tutorial on Friendly Math 101 covers solving literal equations, which involves using inverse operations to isolate variables. Unlike regular equations, the solutions are expressions rather than numeric values. The tutorial provides four examples: solving for x, solving for a, solving with numerical terms, and solving for x with fractions. Each example demonstrates the step-by-step process of isolating the variable using operations like subtraction, division, and multiplication. The video concludes by inviting viewers to ask questions and subscribe for more tutorials.

What is the main difference between solving literal equations and regular equations?

• Literal equations do not use inverse operations.

• Literal equations result in an expression, not a numeric answer.

• Literal equations use only addition and subtraction.

• Literal equations always have numeric answers.

In the first example, what operation is used to isolate x after subtracting y?

• Addition

• Multiplication

• Division

• Subtraction

What is the simplified form of x in the equation u - y = xk?

• x = (u + y) * k

• x = (u - y) / k

• x = (u - y) * k

• x = (u + y) / k

In the second example, what is the first step to isolate a in the equation np + x = am?

• Multiply both sides by m

• Divide both sides by m

• Add x to both sides

• Subtract np from both sides

What is the simplified form of a in the equation np + x = am?

• a = (np + x) * m

• a = (np - x) * m

• a = (np - x) / m

• a = (np + x) / m

In the third example, what is the first step to isolate a in the equation -2b + g = -3a + 6?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 2b from both sides

• Add 2b to both sides

What is the simplified form of a in the equation -2b + g = -3a + 6?

• a = (2b - g + 6) / 3

• a = (2b + g + 6) / 3

• a = (2b + g - 6) / 3

• a = (2b - g - 6) / 3

In the fourth example, what is the first step to isolate x in the equation 4yz = 4 + 3x?

• Add 4 to both sides

• Divide both sides by 4y

• Multiply both sides by 4y

• Subtract 4 from both sides

What is the simplified form of x in the equation 4yz = 4 + 3x?

• x = (4yz + 4) / 3

• x = (4yz / 4) + 3

• x = (4yz * 4) / 3

• x = (4yz - 4) / 3

What is the final step to isolate x in the equation 4yz = 4 + 3x?

• Add 4 to both sides

• Multiply both sides by 3

• Subtract 4 from both sides

• Divide both sides by 3