Prealgebra Review Nov. 2023

Front

What is the distributive property in mathematics?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

Calculate the total calories in 8 ounces of peanuts if 1 ounce has 160 calories.

Back

1 ounce = 160 calories; 8 ounces = 8 x 160 = 1,280 calories.

Front

What operation is indicated by the terms 'quotient' and 'per'?

Back

Division.

Front

What happens when you divide a number by zero?

Back

Division by zero is undefined in mathematics.

Front

How do you calculate the perimeter of a polygon?

Back

The perimeter is the sum of the lengths of all the sides of the polygon.

Front

What is the formula for finding the area of a rectangle?

Back

Area = length x width.

Front

What is the difference between a prime number and a composite number?

Back

A prime number has exactly two distinct positive divisors: 1 and itself. A composite number has more than two positive divisors.

Front

What is the order of operations in mathematics?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

What is a variable in algebra?

Back

A variable is a symbol (often a letter) that represents a number in mathematical expressions or equations.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and performing operations.