8.11 HW Area and Consecutive Integer Problems

Front

What are consecutive integers?

Back

Consecutive integers are integers that follow each other in order, with a difference of 1 between them. For example, 5 and 6 are consecutive integers.

Front

How do you find the sum of two consecutive integers?

Back

Let the first integer be x. The second consecutive integer is x + 1. The sum is x + (x + 1) = 2x + 1.

Front

What is the formula for the area of a rectangle?

Back

The area (A) of a rectangle is calculated using the formula A = length (L) × width (W).

Front

How do you find the perimeter of a rectangle?

Back

The perimeter (P) of a rectangle is calculated using the formula P = 2(length + width) or P = 2L + 2W.

Front

What is the relationship between the length and width of a rectangle if the length is twice the width?

Back

If the length (L) is twice the width (W), the relationship can be expressed as L = 2W.

Front

What are consecutive even integers?

Back

Consecutive even integers are even numbers that follow each other in order, with a difference of 2 between them. For example, 2 and 4 are consecutive even integers.

Front

How do you find the sum of two consecutive even integers?

Back

Let the first even integer be x. The second consecutive even integer is x + 2. The sum is x + (x + 2) = 2x + 2.

Front

What is the formula for the area of a square?

Back

The area (A) of a square is calculated using the formula A = side^2, where 'side' is the length of one side of the square.

Front

How do you find the perimeter of a square?

Back

The perimeter (P) of a square is calculated using the formula P = 4 × side.

Front

What is the significance of the variable in algebraic expressions?

Back

A variable represents an unknown value in algebraic expressions and can take on different values.