Podcast
Questions and Answers
What would be the next number in the pattern?
What would be the next number in the pattern?
1/4
How many pennies do you have on the 15th day if you collect 4 pennies each day?
How many pennies do you have on the 15th day if you collect 4 pennies each day?
60
How much do 5 goldfish cost based on the graph provided?
How much do 5 goldfish cost based on the graph provided?
$10
To which set of numbers does the square root of 11 belong?
To which set of numbers does the square root of 11 belong?
Graph the number on the number line: square root of 11 is ____.
Graph the number on the number line: square root of 11 is ____.
Insert <, >, or = to make the sentence true: -2(x + 11) ____ -2x - 22
Insert <, >, or = to make the sentence true: -2(x + 11) ____ -2x - 22
Name the property of real numbers illustrated by the equation -2(x + 11) = -2x - 22.
Name the property of real numbers illustrated by the equation -2(x + 11) = -2x - 22.
Which algebraic expression models the phrase '40 fewer than a number t'?
Which algebraic expression models the phrase '40 fewer than a number t'?
What algebraic expression models the total amount you have if you start with $15 and save $8 each week?
What algebraic expression models the total amount you have if you start with $15 and save $8 each week?
What algebraic expression models the total points if you have 3 face cards, 6 red number cards, and 8 black number cards?
What algebraic expression models the total points if you have 3 face cards, 6 red number cards, and 8 black number cards?
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Study Notes
Patterns and Sequences
- The next number in a pattern involving fractions is 1/4.
- Collecting 4 pennies daily results in 60 pennies by the 15th day (4 pennies x 15 days).
Graphing and Costs
- The cost of 5 goldfish at an aquarium shop is $10, as indicated by a table derived from a graph.
Types of Numbers
- The number in question belongs to the set of irrational numbers, highlighting its non-repeating and non-terminating nature.
Number Line and Inequalities
- The square root of 11 is represented graphically on a number line.
- Inserting symbols to complete inequalities can result in statements like -2(x+11) = -2x - 22, illustrating the distributive property with a greater than sign (>).
Algebraic Expressions
- The expression for "40 fewer than a number t" is t - 40.
- An expression for total savings, starting with $15 and adding $8 weekly, is represented as 15 + 8w.
Points in Card Games
- The total points in a card game can be modeled by the expression 12F + 5R + 9B, where F, R, and B are the counts of face cards, red-number cards, and black-number cards, respectively.
- With 3 face cards, 6 red-number cards, and 8 black-number cards, the total points amount to 138.
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