ACT Review

Front

What is the area of a rectangle represented by the expression x² + 2x - 3?

Back

The area can be factored as (x - 1)(x + 3).

Front

How do you find the total surface area of a cylinder?

Back

The total surface area of a cylinder is calculated using the formula: 2πr(h + r), where r is the radius and h is the height.

Front

What is the area of a square garden with each side measuring (x + 5) meters?

Back

The area is (x + 5)(x + 5) = x² + 10x + 25.

Front

If Oliver has 36 apples and Mia has 8 more apples than Oliver, how many apples does Mia have?

Back

Mia has 44 apples.

Front

What is the constant of proportionality in a situation where Charlotte earns $9 for every hour she babysits?

Back

The constant of proportionality is $9.

Front

What does it mean to factor a quadratic expression?

Back

Factoring a quadratic expression involves rewriting it as a product of its linear factors.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated as length × width.

Front

How do you determine the dimensions of a rectangular garden from its area expression?

Back

You can factor the expression to find the length and width.

Front

What is the formula for the surface area of a cylinder?

Back

Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

What is the relationship between the sides of a square and its area?

Back

The area of a square is equal to the length of one side squared.