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).

Tags

CCSS.7.NS.A.3

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Tags

CCSS.6.EE.A.4

Front

How do you calculate a percentage decrease?

Back

To calculate a percentage decrease, subtract the new value from the original value, divide by the original value, and then multiply by 100. Formula: ((Original - New) / Original) × 100.

Tags

CCSS.6.RP.A.3C

Front

What is the formula for calculating profit?

Back

Profit = Total Revenue - Total Costs.

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division) to maintain equality.

Tags

CCSS.6.EE.B.7

Front

What is the significance of negative numbers in real-world contexts?

Back

Negative numbers can represent values below zero, such as temperatures below freezing, debts, or losses.

Tags

CCSS.6.NS.C.5

Front

How do you find the total cost of multiple items?

Back

To find the total cost, multiply the price of one item by the number of items purchased. Formula: Total Cost = Price per Item × Quantity.

Tags

CCSS.7.EE.B.3

Front

What is the meaning of 'decrease' in mathematical terms?

Back

Decrease refers to a reduction in value, often expressed as a percentage or a specific amount subtracted from the original value.

Tags

CCSS.7.NS.A.1C

Front

What is a variable in mathematics?

Back

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

Tags

CCSS.6.EE.A.2B

Front

How do you evaluate an expression with parentheses?

Back

To evaluate an expression with parentheses, first perform the operations inside the parentheses, then follow the order of operations for the remaining calculations.

Tags

CCSS.7.NS.A.3