Questions and Answers
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?
60
How much do 5 goldfish cost based on the graph provided?
$10
To which set of numbers does the square root of 11 belong?
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Graph the number on the number line: square root of 11 is ____.
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Insert <, >, or = to make the sentence true: -2(x + 11) ____ -2x - 22
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Name the property of real numbers illustrated by the equation -2(x + 11) = -2x - 22.
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Which algebraic expression models the phrase '40 fewer than a number t'?
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What algebraic expression models the total amount you have if you start with $15 and save $8 each week?
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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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Description
Test your understanding of algebraic expressions with this quiz from Algebra II. Covering various problem types including patterns and cost calculations, this quiz will challenge your skills and boost your knowledge. Perfect for preparing for exams or reinforcing your learning.
