Solving Two Step Equations and Word Problems

The video tutorial covers solving complex equations, including two-step equations, equations with distribution, and word problems. It begins with an introduction to more complex equations, followed by detailed steps for solving two-step equations. The tutorial then explains how to handle equations involving distribution and concludes with strategies for setting up and solving word problems. Throughout, the importance of checking solutions is emphasized.

What is the first step in solving the equation 2t - 5 = -10?

• Divide both sides by 2

• Multiply both sides by 2

• Add 5 to both sides

• Subtract 5 from both sides

After solving the equation 2t - 5 = -10, what should you do to verify your solution?

• Add 5 to the solution

• Multiply the solution by 2

• Substitute the solution back into the original equation

• Check if t is positive

When solving the equation -4P + 9 = -5, what is the result after isolating the variable term?

• 4P = 14

• 4P = -14

• -4P = 14

• -4P = -14

In the equation 11 = -5X - 2, what is the next step after adding 2 to both sides?

• Multiply both sides by -5

• Divide both sides by -5

• Add 5 to both sides

• Subtract 2 from both sides

When solving an equation with decimals, what is important to remember when subtracting?

• Convert decimals to fractions

• Multiply the decimals first

• Ignore the decimal points

• Line up the decimal points

How do you handle a negative coefficient when solving an equation?

• Add the coefficient to both sides

• Multiply both sides by the coefficient

• Subtract the coefficient from both sides

• Divide both sides by the negative coefficient

What is the reciprocal of 3/5?

• 5/3

• 3/5

• 1/5

• 1/3

When combining like terms, what should you do first?

• Add the coefficients

• Multiply the terms

• Combine the constants

• Divide the terms

In a word problem, what is the first step to take?

• Set up the equation

• Define the variable

• Solve the equation

• Check the solution

What should you include in your final answer when solving a word problem?

• Units

• The equation

• The constant

• The variable