Pentathlon 2024 Algebra Practice Flashcard

Front

Simplify the expression: 5x^3(2x^2 + 3x - 1)

Back

10x^5 + 15x^4 - 5x^3

Front

Find the intersection of sets A={3, 6, 8, 11} and D={4, 6, 8, 12}. What is A ∩ D?

Back

{6, 8}

Front

What is a composite number? Give an example.

Back

A composite number is a positive integer that has at least one positive divisor other than one or itself. Example: 45.

Front

Solve for x: 3x + 9 = 7x - 19

Back

x = 7

Front

Evaluate the expression x^2 + 3x - 4 when x = 3.

Back

14

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol used to represent an unknown value in mathematical expressions or equations.

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.

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 does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with numbers.

Front

What is the solution to the equation x - 5 = 10?

Back

x = 15