Substitution/Order of Operations/Equivalent Expressions

Front

What is the Order of Operations?

Back

The Order of Operations is a set of rules that determines the sequence in which calculations are performed in a mathematical expression. The acronym PEMDAS helps remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does it mean to substitute a variable in an expression?

Back

Substituting a variable means replacing the variable with a specific value to evaluate the expression. For example, in the expression 3(x + 2), if x = 4, then it becomes 3(4 + 2) = 18.

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variable(s). For example, 2(x + 3) and 2x + 6 are equivalent expressions.

Front

Calculate: 4(8 - 4)

Back

16

Front

Evaluate: 3(6 + x) when x = 5

Back

33

Front

Solve: 92 - (80 - 2) when x = 2

Back

14

Front

Calculate: 5(10 - 4)

Back

30

Front

Evaluate: 6x when x = 11

Back

66

Front

What is the value of x in the equation 2x + 3 = 11?

Back

x = 4.

Front

What is the first step in solving the expression 7 + 2(3 + 4)?

Back

First, solve the expression inside the parentheses: 3 + 4 = 7.