Understanding Perimeters and Solving Equations

The video tutorial covers forming expressions for the perimeter of various 2D shapes, including rectangles and triangles. It explains how to simplify these expressions and solve for missing values using equations. The tutorial provides practice problems and concludes with a preview of the next topic, which involves angles.

What is the first step in forming an expression for the perimeter of a shape?

• Subtract the longest side

• Divide the perimeter by the number of sides

• Add up all side lengths

• Multiply all side lengths

How do you simplify the expression 4x + 12 when the perimeter is 40 cm?

• Divide both sides by 12

• Multiply both sides by 4

• Subtract 12 from both sides

• Add 12 to both sides

What is the value of x when the equation 4x = 28 is solved?

• 8

• 5

• 6

• 7

In an isosceles triangle, if one side is 2x + 1, what is the expression for the other equal side?

• x + 1

• 2x + 1

• 3x + 1

• x - 1

What is the simplified expression for the perimeter of a triangle with sides 2x + 1, 10 - x, and 2x + 1?

• 6x + 9

• 5x + 11

• 4x + 10

• 3x + 12

What is the first step in solving the equation 3x + 12 = 30?

• Add 12 to both sides

• Subtract 12 from both sides

• Divide both sides by 12

• Multiply both sides by 3

When simplifying the expression x + x + x + x, what is the result?

• 5x

• 4x

• 3x

• 2x

In a parallelogram, if one side is x + 9, what is the expression for the opposite side?

• x + 9

• x - 9

• 2x + 9

• x + 2

What is the value of x when solving the equation 7x + 17 = 24?

• 3

• 2

• 4

• 1

How can you verify your solution for x in a perimeter problem?

• By dividing the perimeter by the solution

• By adding the solution to the perimeter

• By substituting the solution back into the original expression

• By multiplying the solution by the perimeter