The video tutorial covers solving algebraic equations by simplifying and identifying errors. It includes problems on simplifying expressions, solving for unknowns, and applying these skills to real-world scenarios like calculating rental costs and determining rope lengths. The tutorial emphasizes understanding each step in the process and correcting mistakes.

What is the equivalent equation after simplifying 5x - 2(7x + 1) = 14x?

• 9x - 2 = 14x

• -9x - 2 = 14x

• 5x - 14x = 14x

• 5x + 14x = 14x

Tags

CCSS.6.EE.A.3

What is the result of distributing the minus sign in the expression 5x - 2(7x + 1)?

• 5x + 14x + 2

• 5x - 14x - 2

• 5x - 14x + 2

• 5x + 14x - 2

Tags

CCSS.8.EE.C.7B

When simplifying 4(2 - 5x) = 6 - 3(1 - 3x), what should be done first?

• Combine like terms

• Add 6 to both sides

• Distribute the 4 and 3

• Subtract 5x from both sides

Tags

CCSS.6.EE.A.3

In the equation 4(2 - 5x) = 6 - 3(1 - 3x), what is the simplified form of the right side after distribution?

• 6 + 3 + 9x

• 6 + 3 - 9x

• 6 - 3 - 9x

• 6 - 3 + 9x

Tags

CCSS.7.EE.B.4A

What is the value of n if the total cost of renting a sailboat is $360, given by the equation 360 = 120 + 60n?

• 5 days

• 2 days

• 3 days

• 4 days

Tags

CCSS.7.EE.B.4A

How many days was the sailboat rented if the equation is 360 = 120 + 60n?

• 3 days

• 2 days

• 1 day

• 4 days

Tags

CCSS.HSA.REI.A.1

In solving 3(x + 5) = 2x + 35, what was the first incorrect step?

• Combining like terms incorrectly

• Adding 5 to both sides

• Subtracting 2x from both sides

• Distributing 3 to both terms inside the parentheses

What is the correct simplification of 3(x + 5) = 2x + 35 after distributing the 3?

• 3x + 5 = 2x + 35

• 3x + 15 = 2x + 35

• 3x + 15 = 35

• 3x + 5 = 35

Tags

CCSS.8.EE.C.7B

If a 120-foot rope is cut into three pieces where the first is twice the second and the third is three times the second, what is the length of the longest piece?

• 80 feet

• 60 feet

• 40 feet

• 20 feet

Tags

CCSS.HSA.CED.A.3

If the second piece of rope is x, what is the equation to find the total length of the rope?

• 2x + 3x = 120

• x + 2x + 3x = 120

• x + 3x = 120

• x + 2x = 120

Tags

CCSS.HSA.CED.A.3