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Twenty Questions

Twenty Questions. Author: Vicente Huerta. Subject: Mathematics Pre Algebra. References. TEK Middle School 6 th Grade Math

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Twenty Questions

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  1. Twenty Questions Author: Vicente Huerta Subject: Mathematics Pre Algebra

  2. References • TEK Middle School 6th Grade Math • (6.4)Patterns, relationships, and algebraic thinking. The student uses letters as variables in mathematical expressions to describe how one quantity changes when a related quantity changes. The student is expected to:

  3. Continued • Template: jc-schools.net • Algebra Resource: Teaching and Learning Center: • http://www.octc.kctcs.edu/tlc/COMPASS%20Pages/Math/samplemath.html

  4. Twenty Questions

  5. 1. What is the average (arithmetic mean) of 8, 7, 7, 5, 3, 2, and 2? • 4 6/7

  6. 2. Ben is making wooden toys for the next arts and crafts sale.  Each toy costs Ben $1.80 to make.  If he sells the toys for $3.00 each, how many will he have to sell to make a profit of exactly $36.00? • 30

  7. 3. How many yards of material from a 24-yard length of cloth remain after 3 pieces, each 3 1/2 yards long, and 5 pieces, each 2 1/4yards long, are removed? • 2 1/4  

  8. 4. Phillip charged $400 worth of goods on his credit card.  On his first bill, he was not charged any interest, and he made a payment of $20.  He then charged another $18 worth of goods.  On his second bill a month later, he was charged 2% interest on his entire unpaid balance.  How much interest was Phillip charged on his second bill? • $7.96

  9. 5. A student has earned scores of 87, 81, and 88 on the first 3 of 4 tests.  If the student wants an average (arithmetic mean) of exactly 87, what score must she earn on the fourth test? • 92

  10. 6. Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x? • 6x 2 - 5x - 6

  11. 7. If x = -1 and y = 2, what is the value of the expression 2x 3 - 3xy? • 4

  12. 8. For all r ≠ ± 2, r2 - 5r + 6 / r2 - 4 = ? • r - 3 / r + 2

  13. 9. What is the equation of the line that contains the points with (x, y ) coordinates (-3, 7) and (5, -1)? • y = -x + 4

  14. 10. For i = √ -1, if 3i (2 + 5i) = x + 6i, then x = ? • –15

  15. 11. If f(4) = 0 and f(6) = 6, which of the following could represent f(x) ? • 3x – 12

  16. 12. For i = √-1, if 3i (2 + 5i) = x + 6i, then x = ? • –15

  17. 13. If f(4) = 0 and f(6) = 6, which of the following could represent f(x) ? • 3x – 12 

  18. 14. Which of the following is equivalent to (x)(x)(x)(x), for all x ? • X^4

  19. 15. A rectangle is twice as long as it is wide. If the width of the rectangle is 3 inches, what is the rectangle's area, in square inches? • 18

  20. 16. How many solutions are there to the equation x2 - 15 = 0 ? • 2

  21. 17. A circle with center (-3,4) is tangent to the x-axis in the standard (x,y) coordinate plane. What is the radius of this circle? • 4

  22. 18. Which of the following is divisible by 3 (with no remainder)? • 4,482

  23. 19. What is the least value of x that satisfies the equation x2 - 7x + 6 = 6 ? • 0

  24. 20. What is the largest possible product for 2 even integers whose sum is 34 ? • 288

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