Retake Unit 2 Flashcard 3 Part A IGCSE

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

If the width of a playground is 5 yards longer than its length, how can you express the width in terms of length?

Back

Width = length + 5.

Front

How do you find the dimensions of a rectangle when given the area and a relationship between length and width?

Back

Set up an equation using the area formula and the relationship, then solve for the unknowns.

Front

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

Back

Length = 2 × width - 7.

Front

How do you calculate the area of a square?

Back

Area = side × side.

Front

If one dimension of a square is increased by 5 meters and the other by 3 meters, how do you express the area of the new rectangle?

Back

Area = (side + 5) × (side + 3).

Front

What are the steps to solve a quadratic equation like x² - 9x = 0?

Back

Factor the equation, set each factor to zero, and solve for x.

Front

What are the solutions to the equation x² - 9x = 0?

Back

x = 0 and x = 9.

Front

How do you solve the equation x² + 10x = 24?

Back

Rearrange to x² + 10x - 24 = 0, then factor or use the quadratic formula.

Front

What are the solutions to the equation x² + 10x = 24?

Back

x = 2 and x = -12.