1.2 Simplifying Numerical Expressions

Front

What is a numerical expression?

Back

A numerical expression is a mathematical phrase that includes numbers and operations (such as addition, subtraction, multiplication, and division) but does not include an equal sign.

Front

What does it mean to simplify a numerical expression?

Back

To simplify a numerical expression means to reduce it to its simplest form, which involves performing the operations and combining like terms.

Front

What is the order of operations used in simplifying expressions?

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 like term in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is the result of simplifying the expression 2 + 3 × 4?

Back

The result is 14, following the order of operations (multiply first, then add).

Front

How do you simplify the expression 5(2 + 3)?

Back

You first simplify inside the parentheses: 2 + 3 = 5, then multiply: 5 × 5 = 25.

Front

What is the simplified form of the expression 10 - 3 + 2?

Back

The simplified form is 9, calculated as 10 - 3 = 7, then 7 + 2 = 9.

Front

What is the value of the expression 4 × (3 + 2) - 6?

Back

The value is 14. First, simplify inside the parentheses: 3 + 2 = 5, then 4 × 5 = 20, and finally 20 - 6 = 14.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract coefficients of terms that have the same variable part.

Front

What is the simplified form of the expression 3x + 4x?

Back

The simplified form is 7x, as you combine the coefficients 3 and 4.