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Questions and Answers
What is 1 + 1?
What is 1 + 1?
2
What is 12 * 9?
What is 12 * 9?
108
What is 46 * 12?
What is 46 * 12?
552
Simplify: (x + 4) * (2x + 5)
Simplify: (x + 4) * (2x + 5)
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Factor: x² - 324
Factor: x² - 324
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What is 2 raised to the power of -3?
What is 2 raised to the power of -3?
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Solve the system of equations using the elimination method: X + 2y - z = -6, 3x - y + z = 8, 4x - y - 2z = 0
Solve the system of equations using the elimination method: X + 2y - z = -6, 3x - y + z = 8, 4x - y - 2z = 0
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Solve the system of equations using the substitution method: y - 6x = -15, z - 3x = 2, x + 2y + 3z = 86
Solve the system of equations using the substitution method: y - 6x = -15, z - 3x = 2, x + 2y + 3z = 86
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What is 29 squared?
What is 29 squared?
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What is the square root of 289?
What is the square root of 289?
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Solve for x: 5(4x + 11) + 3(2x + 4) = 347
Solve for x: 5(4x + 11) + 3(2x + 4) = 347
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What is -35023 + 847?
What is -35023 + 847?
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What is 8 cubed?
What is 8 cubed?
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What are the first 10 digits of pi?
What are the first 10 digits of pi?
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In a bag with 640 marbles, what are the odds of drawing a red marble two times in a row after losing 47 green and blue marbles?
In a bag with 640 marbles, what are the odds of drawing a red marble two times in a row after losing 47 green and blue marbles?
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If 4 pencils have the same value as 3 pens and we know one pen is 1/3 the cost of a stapler. Two staplers are worth 3 packets of notecards, how many pencils are worth one packet of notecards?
If 4 pencils have the same value as 3 pens and we know one pen is 1/3 the cost of a stapler. Two staplers are worth 3 packets of notecards, how many pencils are worth one packet of notecards?
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What is the product of nine consecutive integers that add up to 9?
What is the product of nine consecutive integers that add up to 9?
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What is the square root of the quantity of $2013^3 - ((2012*5^2 + 25) / 25)^3$?
What is the square root of the quantity of $2013^3 - ((2012*5^2 + 25) / 25)^3$?
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On which day will Bob do his 97th random math fact if he did one math fact on the first day, two on the second, and so on?
On which day will Bob do his 97th random math fact if he did one math fact on the first day, two on the second, and so on?
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What is the units digit of 8 to the 97th power?
What is the units digit of 8 to the 97th power?
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Study Notes
Basic Arithmetic
- 1 + 1 equals 2.
- 12 multiplied by 9 equals 108.
- 46 multiplied by 12 results in 552.
Simplification and Factoring
- Simplifying (x + 4)(2x + 5) gives 2x² + 13x + 20.
- Factoring x² - 324 results in (x + 18)(x - 18) or (-x + 18)(-x - 18).
Exponents and Roots
- The value of 2 raised to the power of -3 is 1/8.
- 29 squared equals 841.
- The square root of 289 yields 17 and -17.
- 8 cubed equals 512.
Systems of Equations
- Using the elimination method, the solutions to the system:
- X + 2Y - Z = -6
- 3X - Y + Z = 8
- 4X - Y - 2Z = 0
- Are Y = -2, X = 1, Z = 3.
- Employing the substitution method for:
- Y - 6X = -15
- Z - 3X = 2
- X + 2Y + 3Z = 86
- Results in X = 5, Y = 15, Z = 17.
Mathematical Constant and Sequences
- The first ten digits of pi are 3.1415926535.
- Nine consecutive integers that sum to 9 have a product of 0.
Odds and Probability
- In a bag of 640 marbles with specific losses and counts, the odds of drawing a red marble two times in a row are 9/16.
Rates and Relationships
- The value relationships indicate that 4 pencils equal the cost of 3 pens, and a single pen is 1/3 the price of a stapler. This leads to the conclusion that 8/3 pencils are equivalent to one packet of notecards.
Progressive Counting
- Bob's sequential approach to completing random math facts implies he will reach his 97th fact on the 14th day.
Unit Digit Calculation
- The units digit of 8 raised to the 97th power is 8.
Miscellaneous Operations
- The operation -35023 + 847 results in -34176.
- Squaring and simplifying a specific mathematical expression leads to a square root of 0.
Studying That Suits You
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Description
Test your math skills with these random flashcards featuring various questions. From basic arithmetic to algebraic expressions, this quiz covers a range of topics. Perfect for students looking to improve their understanding of math concepts.
