Model Problems in Algebra

This video tutorial covers the distribution of negative numbers in algebraic expressions. It includes four model problems, each demonstrating different aspects of distributing negative numbers and combining like terms. The video emphasizes the importance of following the correct order of operations and provides practice problems for students to complete independently. The tutorial concludes with a summary and instructions for homework.

What is the main topic of this video?

• Graphing linear equations

• Adding fractions

• Solving quadratic equations

• Distributing a negative number

In the first model problem, what is the first step after copying the problem?

• Graph the equation

• Solve for x

• Change subtraction to addition

• Combine like terms

What operation must be performed before addition in the first model problem?

• Division

• Exponentiation

• Subtraction

• Multiplication

What is the result of combining 5x and 28x in the first model problem?

• 50x

• 15x

• 23x

• 33x

In the second model problem, what is the first step after copying the problem?

• Change subtraction to addition

• Solve for x

• Graph the equation

• Combine like terms

What is the result of distributing -7 in the second model problem?

• 28 and 28x

• 21 and 21x

• 35 and 35x

• 14 and 14x

What common mistake do students make in the third model problem?

• Subtracting before dividing

• Dividing before subtracting

• Multiplying before adding

• Adding before multiplying

What is the correct order of operations in the third model problem?

• Addition, then multiplication

• Multiplication, then addition

• Subtraction, then division

• Division, then subtraction

In the fourth model problem, what is the first step after copying the problem?

• Graph the equation

• Solve for x

• Change subtraction to addition

• Combine like terms

What is the result of distributing 6 in the fourth model problem?

• -6x and 8

• 6x and -8

• 8x and -6

• -8x and 6