Foundations Benchmark #1_Eval Exps & Order of Ops

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 acronym PEMDAS is often used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

Evaluate: a² + 5 when a = 4

Back

21

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

Evaluate: 3(a - 4) + 5 when a = 12

Back

29

Front

What is a variable in mathematics?

Back

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

Front

Evaluate: 3x - 4(y + 2) when x=6 and y=3

Back

-2

Front

What is the purpose of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression, helping to clarify the order of operations.

Front

Simplify: 18 ÷ 3 ⋅ 4 + (2³ - 2 + 5)

Back

35

Front

What is an exponent?

Back

An exponent indicates how many times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2.

Front

Evaluate: 60 + 4² × 2

Back

92