Equivalent Expressions Review

Front

What is prime factorization?

Back

Prime factorization is the process of expressing a number as the product of its prime factors.

Front

What is the prime factorization of 360?

Back

2^3 x 3^2 x 5

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 an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variable.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Front

Simplify: 3 x (3 + 12 ÷ 3) - 4. What is the correct first step?

Back

The correct first step is to divide 12 by 3 before adding.

Front

Which two expressions are equivalent: (10 - 6) ÷ y and 10 - (6 ÷ y)?

Back

No, they are not equivalent.

Front

Which two expressions are equivalent: 12 - (y ⋅ 2) and 12 - (2 ⋅ y)?

Back

Yes, they are equivalent because subtraction is commutative.

Front

What is the value of 3^4?

Back

The value of 3^4 is 81.

Front

What does it mean to simplify an expression?

Back

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