Order of Operations and Solving Equations Practice

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

Front

Solve: -3(4x + 8) = 16 - 20x

Back

x = 5

Front

Solve: 2(3x + 8) = 22

Back

x = 1

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often represented by letters, that stands for an unknown value in an equation or expression.

Front

Solve: 10 + 45 ÷ 9 - (14 ÷ 2) = ?

Back

8

Front

What is the purpose of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression, following the Order of Operations.

Front

Solve: 18 + (6 - 2)(2) = ?

Back

26

Front

What is the difference between an equation and an expression?

Back

An equation is a mathematical statement that asserts the equality of two expressions, while an expression is a combination of numbers, variables, and operators without an equality sign.

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to isolate the term with the variable: 2x = 8.