Evaluating Expressions

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

What does it mean to evaluate an expression?

Back

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

Front

What is the order of operations in mathematics?

Back

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

Front

Evaluate the expression: 3 + 4 × 2

Back

11 (First multiply 4 × 2 = 8, then add 3.)

Front

What is a variable in an expression?

Back

A variable is a symbol (usually a letter) that represents an unknown value in an expression or equation.

Front

Evaluate the expression: 5x - 3 when x = 2

Back

7 (5*2 - 3 = 10 - 3 = 7)

Front

What is the value of r³ + 2s² when r = -3 and s = 4?

Back

5 (Evaluate: (-3)³ + 2*(4)² = -27 + 32 = 5)

Front

How do you simplify the expression: -12 ÷ 6 (-3) + 8?

Back

-14 (First, calculate -12 ÷ 6 = -2, then -2 * -3 = 6, and finally 6 + 8 = 14)

Front

Evaluate the expression: 2x(3x - y)² when x = 3 and y = 5.

Back

96 (First calculate (3*3 - 5)² = 4² = 16, then 2*3*16 = 96)

Front

What is the result of evaluating 2(a - 5) + 2 when a = 15?

Back

22 (2*(15 - 5) + 2 = 2*10 + 2 = 20 + 2 = 22)