Solving 2-Step Equations Challenge

The video tutorial covers solving two-step equations by using inverse operations, starting with constants. It includes examples of solving equations with variables on different sides, handling fractions, and checking solutions. The tutorial also addresses word problems, such as calculating weight loss over time and determining earnings per hour. Key concepts include combining like terms and understanding the role of coefficients in equations.

What is the first step in solving a two-step equation?

• Add the variable to both sides

• Subtract the constant from both sides

• Multiply both sides by the constant

• Divide both sides by the variable

In the equation x/4 + 12 = 32, what operation should be performed first?

• Multiply both sides by 4

• Divide both sides by 4

• Add 12 to both sides

• Subtract 12 from both sides

After subtracting 12 from both sides in the equation x/4 + 12 = 32, what is the next step?

• Subtract 4 from both sides

• Divide both sides by 4

• Multiply both sides by 4

• Add 12 to both sides

In the equation 35 = 5x + 3, what is the first step to isolate the variable x?

• Divide both sides by 5

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply both sides by 5

What is the simplified form of 32/5?

• 6.4

• 6 2/5

• 32.5

• 5.6

In the word problem about the cat's weight loss, what does the term 'per' indicate?

• Multiplication

• Subtraction

• Addition

• Division

How many months will it take for the cat to weigh 14 pounds if it loses 0.4 pounds per month?

• 22 months

• 26 months

• 20 months

• 24 months

What is the combined coefficient of n in the equation 13.6n + 12n = 128?

• 23.6

• 24.6

• 26.6

• 25.6

If you rake leaves for 2 hours on Saturday and 5 hours on Sunday, earning a total of $63, how much do you earn per hour?

• $10

• $7

• $8

• $9

What is the final value of n in the equation 25.6n = 128?

• 4

• 5

• 6

• 7