Solving for Variables in Equations

The video tutorial covers solving literal equations and formulas by isolating specific variables. It explains the process of reversing operations to isolate variables, using examples to demonstrate one-step and two-step problem-solving techniques. The tutorial also highlights the differences between vertical and horizontal solving methods and emphasizes the importance of understanding like terms. Advanced problem-solving techniques are introduced, preparing students for more complex equations.

What is the first step in solving a literal equation?

• Combine like terms

• Isolate the variable

• Multiply both sides by a constant

• Add constants

If you have the equation F = Ma and you need to solve for a, what operation should you perform?

• Add M to both sides

• Multiply both sides by M

• Divide both sides by M

• Subtract M from both sides

In the equation a = L * W, how do you solve for L?

• Divide both sides by W

• Multiply both sides by W

• Subtract W from both sides

• Add W to both sides

Given the equation a + B = C, what is the correct step to isolate a?

• Add B to both sides

• Subtract B from both sides

• Multiply both sides by B

• Divide both sides by B

In the equation M - C = H, what should you do to isolate M?

• Multiply both sides by C

• Divide both sides by C

• Subtract C from both sides

• Add C to both sides

For the equation K = V - GT, what is the first step to solve for K?

• Add GT to both sides

• Subtract GT from both sides

• Multiply both sides by GT

• Divide both sides by GT

In a two-step problem, what should you do first when solving for a variable?

• Remove any added or subtracted terms

• Combine like terms

• Multiply both sides by a constant

• Isolate the variable

When solving V - K = GT for T, what is the final step?

• Divide both sides by G

• Multiply both sides by G

• Subtract K from both sides

• Add K to both sides

In the equation V - GT = aK, what operation should you perform to isolate K?

• Add GT to both sides

• Multiply both sides by a

• Divide both sides by a

• Subtract GT from both sides

What should you do first when solving a two-step problem involving addition and multiplication?

• Isolate the variable

• Remove the added term

• Combine like terms

• Multiply both sides by a constant