Math Review

Front

What is percent change?

Back

Percent change is a way to express the change in a value as a percentage of the original value. It is calculated using the formula: Percent Change = ((New Value - Original Value) / Original Value) * 100.

Front

How do you calculate the area of a circle?

Back

The area of a circle is calculated using the formula: Area = πr², where r is the radius of the circle.

Front

What is the formula for the surface area of a rectangular prism?

Back

The surface area of a rectangular prism is calculated using the formula: Surface Area = 2(lw + lh + wh), where l is length, w is width, and h is height.

Front

What does the variable represent in an equation?

Back

In an equation, a variable represents an unknown value that can change or vary. It is often denoted by letters such as x, y, or z.

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value for all values of the variable(s) involved. For example, 2(x + 3) and 2x + 6 are equivalent.

Front

How do you simplify an algebraic expression?

Back

To simplify an algebraic expression, combine like terms and apply the distributive property where necessary. For example, 3x + 2x simplifies to 5x.

Front

What is the formula for finding the volume of a cylinder?

Back

The volume of a cylinder is calculated using the formula: Volume = πr²h, where r is the radius and h is the height.

Front

What is the difference between area and perimeter?

Back

Area measures the space inside a shape (in square units), while perimeter measures the distance around a shape (in linear units).

Front

How do you find the total cost after a discount?

Back

To find the total cost after a discount, subtract the discount amount from the original price. For example, if an item costs $50 and has a 20% discount, the discount amount is $10, making the total cost $40.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.