Evaluating Variable Expressions

Front

What is a variable expression?

Back

A variable expression is a mathematical phrase that can contain numbers, variables, and operators. It represents a value that can change depending on the values of the variables.

Front

How do you evaluate a variable expression?

Back

To evaluate a variable expression, substitute the values of the variables into the expression and then perform the arithmetic operations according to the order of operations.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. The order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

What does it mean to substitute a value into an expression?

Back

Substituting a value into an expression means replacing the variable in the expression with a specific number to evaluate the expression.

Front

Evaluate the expression 2x + 3 when x = 2.

Back

The evaluation is 2(2) + 3 = 4 + 3 = 7.

Front

What is the result of evaluating the expression s^2 + 3s - 1 when s = 1?

Back

The result is 3.

Front

How do you simplify the expression 12 ÷ 3x when x = 1?

Back

Substituting x = 1 gives 12 ÷ 3(1) = 12 ÷ 3 = 4.

Front

What is the value of the expression x^2 + 2x + 1 when x = 4?

Back

The value is 25.

Front

Evaluate the expression 8(a + 1) when a = 5.

Back

The evaluation is 8(5 + 1) = 8(6) = 48.

Front

What is a polynomial expression?

Back

A polynomial expression is a mathematical expression that consists of variables raised to whole number powers and coefficients, combined using addition, subtraction, and multiplication.