Rectangle and Algebraic Expressions

The video tutorial covers setting up and solving algebraic word problems, focusing on perimeter calculations for rectangles and solving equations for unknown numbers. It begins with an introduction to algebraic word problems, followed by a detailed solution to a rectangle problem involving perimeter. The tutorial then addresses a number problem, solving for an unknown variable, and concludes with another rectangle problem, reinforcing the concepts of algebraic equations and perimeter calculations.

What is the formula for the perimeter of a rectangle?

• length + width

• 2 * length * width

• length * width

• 2 * length + 2 * width

If the length of a rectangle is 10 meters less than 9 times the width, and the perimeter is 140 meters, what is the width?

• 10 meters

• 14 meters

• 8 meters

• 12 meters

In the first rectangle problem, what operation is used to find the length from the width?

• Addition

• Subtraction

• Multiplication

• Division

How do you represent '7 less than four times a number' in an equation?

• 4n - 7

• n - 7

• 4n + 7

• 7 - 4n

What is the value of n if 4n - 7 = 29?

• 7

• 8

• 9

• 10

What is the first step in solving the equation 4n - 7 = 29?

• Subtract 7 from both sides

• Add 7 to both sides

• Divide both sides by 4

• Multiply both sides by 4

In the second rectangle problem, what is the relationship between the length and the width?

• Length is half the width

• Length is 4 meters more than the width

• Length is twice the width

• Length is 4 meters less than the width

If the perimeter of a rectangle is 184 meters and the length is 4 meters more than the width, what is the width?

• 46 meters

• 44 meters

• 42 meters

• 40 meters

What is the length of the rectangle if the width is 44 meters and the length is 4 meters more than the width?

• 46 meters

• 48 meters

• 50 meters

• 52 meters

What is the final step in solving for the width in the second rectangle problem?

• Multiply by 4

• Subtract 4 from both sides

• Add 4 to both sides

• Divide by 4