Word Problems & Equations Review

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter (P) of a rectangle is given by the formula: P = 2(length + width).

Front

If the length of a rectangle is 4 inches more than twice the width, how can this relationship be expressed algebraically?

Back

Let width = w. Then, length = 2w + 4.

Front

Back

Multiply both sides by 2 to isolate the term with x.

Front

How do you find the width of a rectangle if the length is 3 times the width and the perimeter is known?

Back

Set up the equation: P = 2(length + width) and substitute length with 3w.

Front

What are consecutive numbers?

Back

Consecutive numbers are numbers that follow each other in order, such as n, n+1, n+2.

Front

How do you set up an equation for the sum of three consecutive numbers?

Back

Let the first number be n. The equation is: n + (n+1) + (n+2) = sum.

Front

Back

The solution is x = 3.

Front

What is the relationship between width and length in a rectangle if the length is defined as 4 inches more than twice the width?

Back

Length = 2(width) + 4.

Front

How do you calculate the perimeter of a rectangle if you know the width?

Back

Use the formula: P = 2(2w + 4 + w) = 38.

Front

What is the value of the smallest of three consecutive numbers if their sum is 87?

Back

The smallest number is 28.