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?

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: 2 + 3 * 4

Back

14 (First, multiply 3 and 4 to get 12, then add 2.)

Front

If a = 2 and b = 5, what is the value of 3a + 4b?

Back

26 (3(2) + 4(5) = 6 + 20 = 26.)

Front

What is the first step in evaluating the expression: 5(3 + 2)?

Back

Evaluate the expression inside the parentheses first: 3 + 2 = 5.

Front

Solve for x: 2x + 3 = 11

Back

x = 4 (Subtract 3 from both sides, then divide by 2.)

Front

What is the value of x if x = 80 in the expression x ÷ 4?

Back

20 (80 ÷ 4 = 20.)

Front

Evaluate the expression: 4x + 3c - 12 + 2x when x = 1 and c = 11.

Back

27 (4(1) + 3(11) - 12 + 2(1) = 4 + 33 - 12 + 2 = 27.)

Front

What is the result of the expression: 2(12 - 7) + 5?

Back

15 (First, evaluate inside the parentheses: 12 - 7 = 5, then 2(5) + 5 = 10 + 5 = 15.)