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Chapter 4 Jeopardy

Test your monomial and polynomial simplification skills with these challenging algebra problems. Practice word problems to enhance your problem-solving abilities.

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Chapter 4 Jeopardy

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  1. Chapter 4 Jeopardy

  2. Monomials– 100 points • Simplify: 2x3 5x2 10x5

  3. Monomials – 200 points • Simplify: (-3a2b3)3 -27a6b9

  4. Monomials – 300 points • Simplify: n7 9

  5. Monomials – 400 points • Simplify: (4x)2(6xy3)2(½y4)3 72x4y18

  6. Polynomials – 100 Points • Simplify: -2a(a2 – 3a) -2a3 + 6a2

  7. Polynomials – 200 Points • Simplify: (5x2 – 21x + 4) – (x2 – 11x + 6) 4x2 – 10x - 2

  8. Polynomials – 300 Points • Simplify: (a – 3)2 a2 – 6a + 9

  9. Polynomials – 400 Points • Simplify: (x + y)(x2 – xy + y2) x3 + y3

  10. Word Problems – 100 Points • The length of a rectangle is 4 cm greater than its width. If the length and width are both increased by 3 cm, then the area of the rectangle will increase by 93 cm2. What are the dimensions of the original rectangle? 12 cm x 16 cm

  11. Word Problems – 200 Points • Two helicopters take off at the same time from the same airport and travel in opposite directions. The average speeds of the two helicopters are 350 km/h and 325 km/h respectively. In how many hours will the two helicopters be 2024 km apart? 3 hours

  12. Word Problems – 300 Points • James has more dimes than quarters. If he has $7.25, how many of each coin does he have? NO SOLUTION!

  13. Word Problems – 400 Points • At 8 a.m. a freight train leaves River City and heads for Rockville. At the same time, a passenger train leaves Rockville and heads toward River City on parallel tracks. The passenger train averages 50 mi/h faster than the freight train. The two trains pass each other at noon. If River City and Rockville are 520 miles apart, what is the average speed of each train? Freight = 40 mi/h Passenger = 90 mi/h

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