Podcast
Questions and Answers
How many books were lent out if there were originally 280 books and 147 are left?
How many books were lent out if there were originally 280 books and 147 are left?
- 133 (correct)
- 125
- 147
- 95
What is the original price of the notebook if the original cost of the book is $18 and Maria received a total discount of $9.50?
What is the original price of the notebook if the original cost of the book is $18 and Maria received a total discount of $9.50?
- 15
- 30
- 20 (correct)
- 25
If Sophie scores 90 points and loses 4 points for each fault, how many times did she fault if her final score is 74?
If Sophie scores 90 points and loses 4 points for each fault, how many times did she fault if her final score is 74?
- 4 (correct)
- 8
- 6
- 2
How many fouls did Mark commit if he originally scored 72 points and ended up with 56 points?
How many fouls did Mark commit if he originally scored 72 points and ended up with 56 points?
What is the final point total for Sophie after faults if she started with 90 points and lost 4 points per fault?
What is the final point total for Sophie after faults if she started with 90 points and lost 4 points per fault?
What is the correct expression for the area of a triangle with base 8 cm and height 13 cm?
What is the correct expression for the area of a triangle with base 8 cm and height 13 cm?
Which of the following calculations correctly determines the circumference of a circle with a diameter of 14 cm?
Which of the following calculations correctly determines the circumference of a circle with a diameter of 14 cm?
What is the result of solving the equation $11x + 12 = -54$?
What is the result of solving the equation $11x + 12 = -54$?
What is the total perimeter of a triangle with sides measuring 11 cm, 16 cm, and 18 cm?
What is the total perimeter of a triangle with sides measuring 11 cm, 16 cm, and 18 cm?
How would you determine the remaining balance for Sophia after writing her checks?
How would you determine the remaining balance for Sophia after writing her checks?
What is the correct calculation for the sum of David's checks?
What is the correct calculation for the sum of David's checks?
What is the area of a square with each side measuring 18 cm?
What is the area of a square with each side measuring 18 cm?
If the temperature dropped by 12 degrees from x degrees Celsius to reach -20 degrees Celsius, what was the original temperature?
If the temperature dropped by 12 degrees from x degrees Celsius to reach -20 degrees Celsius, what was the original temperature?
Flashcards
Integers
Integers
Adding or subtracting numbers with different signs. Example: -12 + (-22) - (-10)
Perimeter of a Triangle
Perimeter of a Triangle
The total length of all sides of a triangle. Formula: Side 1 + Side 2 + Side 3
Area of a Triangle
Area of a Triangle
The amount of space a triangle takes up. Formula: 1/2 * base * height
Perimeter of a Square
Perimeter of a Square
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Circumference of a Circle
Circumference of a Circle
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Solving Equations
Solving Equations
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Unit Price
Unit Price
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Complementary Angles
Complementary Angles
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Finding the number of occurrences of a repeating event
Finding the number of occurrences of a repeating event
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Solving equations with repeated subtraction or addition
Solving equations with repeated subtraction or addition
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Isolate the variable to find the unknown value
Isolate the variable to find the unknown value
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Solving equations by performing operations on both sides
Solving equations by performing operations on both sides
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Word problems involving repeated losses
Word problems involving repeated losses
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Study Notes
Integer Operations
- Adding negative integers: -12 + (-22) = -34
- Subtracting negative integers: -34 - (-10) = -24
Perimeter of a Triangle
- Formula: side1 + side2 + side3 = Perimeter
- Example: 11cm + 16cm + 18cm = 45cm
Area of a Triangle
- Formula: Area = (1/2) x base x height
- Example: (1/2) x 8cm x 13cm = 52cm²
Area of a Square
- Formula: Area = side x side
- Example: 18cm x 18cm = 324 cm²
Circumference of a Circle
-
Formula (using diameter): Circumference = π x diameter
-
Example (diameter = 14cm): π x 14cm = 43.96 cm (approximated using π=3.14)
-
Formula (using radius): Circumference = 2 x π x radius
-
Example (radius = 5cm): 2 x π x 5cm = 31.4 cm (approximated using π=3.14)
Solving Equations (for x)
- Example 9x - 20 = 16: x = 4
- Example 11x + 12 = -54: x = -6
Solving Word Problems (using equations)
- Example: 8 movie tickets for $104: Each ticket cost $13
- Example: 12 concert tickets for $300: Each ticket cost $25
Evaluating Expressions
- Example (for x = 12): 3x - 7 = 29
Temperature Change
- Example (drop of 12°C to -20°C): Original temperature was 8°C
- Example (drop of 8°C to -15°C): Original temperature was -7°C
Complementary Angles
- The sum of complementary angles is 90°.
- Example: If one angle is 32°, the other is 58°.
Checking Account Balances
- Example (with multiple withdrawal): Final balance is 285.75
- Example (with multiple withdrawal): Final balance is 221.75
Finding the difference
Example, books lent out: 280 - 147 = 133 books.
Discount Problems
- Example (total discount and book price): Original price of notebook was $20.
Point Problems
- Example (tennis faults): Sophie faulted 4 times.
- Example (basketball fouls): Mark committed 8 fouls.
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