Algebra 1 Final Exam Comprehensive Review

What is the first step in solving the equation -3(x - 2) - 5 = -11?

• Combine like terms

• Subtract 1 from both sides

• Divide both sides by -3

• Distribute -3 across the parentheses

After distributing and combining like terms, what is the equation simplified to?

• -3x + 6 = -6

• -3x = -12

• -3x - 6 = -11

• -3x + 1 = -12

What is the value of x in the equation -3(x - 2) - 5 = -11?

• 4

• 2

• 3

• -4

What property is essential for solving the first problem discussed in the video?

• Associative property

• Distributive property

• Commutative property

• Identity property

What technique is used to solve the equation 5x - 2 / 20 = x / 5?

• Factoring

• Cross-multiplying

• Distributing

• Subtracting

After cross-multiplying, what should you do next to solve for x?

• Combine like terms

• Distribute the 5

• Divide by the coefficient of x

• Get variables on one side and numbers on the other

What is the value of x in the equation 5x - 2 / 20 = x / 5?

• 3

• 2

• 1

• 4

How can you verify your solution to an algebraic equation?

• By substituting the value of x back into the original equation

• By looking up the answer

• By checking if the equation is balanced

• By asking a friend

What is the main topic tested in the second problem discussed in the video?

• Equations

• Proportions

• Inequalities

• Functions

Why is it important to get variables on one side and numbers on the other when solving equations?

• Because it's a rule

• To simplify the equation

• To isolate the variable

• To make it look neat