Flashback #38

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number. For example, if you have -12y < -24 and divide by -12, the inequality becomes y > 2.

Front

How do you calculate a percentage tip on a bill?

Back

To calculate a percentage tip, multiply the total bill amount by the percentage (as a decimal). For example, for a $27.31 bill with a 23% tip: $27.31 x 0.23 = $6.28.

Front

What is the formula to find the final price after applying a discount?

Back

Final Price = Original Price - Discount Amount. For example, if a jacket costs $75.00 and has a 10% discount, the discount amount is $75.00 x 0.10 = $7.50, so the final price is $75.00 - $7.50 = $67.50.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

What happens to the inequality sign when you divide by a negative number?

Back

The inequality sign flips. For example, if you have -3x > 6 and divide by -3, it becomes x < -2.

Front

How do you express a 10% discount on an item?

Back

To express a 10% discount, you calculate 10% of the original price and subtract that amount from the original price. For example, for a $100 item, the discount is $10, making the final price $90.

Front

What is the first step in solving the inequality -⅖x ≥ -10?

Back

The first step is to isolate x by multiplying both sides by -5/2. Remember to flip the inequality sign when multiplying by a negative.

Front

What does 'Give Just the Tip' mean in a mathematical context?

Back

'Give Just the Tip' refers to calculating only the tip amount based on a percentage of the total bill, without adding it to the original bill.

Front

How do you find the discount amount on an item?

Back

To find the discount amount, multiply the original price by the discount percentage (as a decimal). For example, for a $50 item with a 20% discount, the discount amount is $50 x 0.20 = $10.

Front

What is the importance of including the money sign in your answer?

Back

Including the money sign indicates that the answer is a monetary value, which is crucial for clarity in financial problems.