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| 1) Name 3 ways in which polynomials are used in real life.
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| 2) Define a monomial.
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| 3) Define a binomial.
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| 4) Define a trinomial.
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| 9) What is meant by the standard form of a polynomial?
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For the next three questions, determine if the functions are linear or quadratic.
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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the practice worksheet.
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| 14) Multiply and simplify the polynomial. State the simplified answer.
4(7x + 5y – 2z)
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| 15) Multiply and simplify the polynomial.
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| 16) Multiply and simplify the polynomial.
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| 17) Multiply and simplify the polynomial.
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| 18) What is the mnemonic used to multiply binomials and what does it mean?
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For the next three problems, multiply the binomials.
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| 19) Multiply the binomials.
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| 20) Multiply the binomials.
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| 21) Multiply the binomials.
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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the practice worksheet.
Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the practice worksheet.
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Polynomial Functions and Applications
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| 22) Find the area, in terms of “y,” of a square rug whose sides are (y + 3) units long.
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| 23) In the lesson portion of the unit under the “Applications” section, what are the dimensions of the picture in Example #1? What is its area? Make sure to use appropriate units. |
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| 24) In the lesson portion of the unit under the “Applications” section, what are the dimensions of the carpet plus the cement in Example #2? What is its area? Make sure to use appropriate units. |
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| 25) The manufacturer of an ice cream container wants to increase the volume of the container by 25% by increasing the height. The current container is a rectangular solid with a width of 8 cm, a length of 12 cm, and a height of 4 cm. Find the (a) volume of the original container, (b) the new volume, and (c) the height of the new container. Make sure to use appropriate units.
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| 26) A soup manufacturer wants to increase the volume of its container by 15% by increasing the height. The current container is a cylinder with a radius of 4 centimeters and a height of 8 centimeters. Find the (a) volume of the original container, (b) the volume of the new container, and (c) the height of the new container. Round the answers to the nearest hundredth, when necessary. (The formula for the volume of a cylinder is shown below.)
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| 33) Simplify: 16x – (5x – 3)
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| 34) Simplify: (5 + y) – (y + z) – (3y + 4z – 6)
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| 35) Simplify: –4(2n – 3m) – 5(3m – 2n)
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| 40) Write the equation of a line passing through points A(2, 1) and B(–2, –3). Express the equation in slope-intercept form.
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| 41) Solve the system using any method.
3x + y = 13
2x – y = 2
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| 42) Simplify.
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| 43) Simplify.
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| 44) If a city's population is growing at a rate of 0.4% per year, what multiplier should be used to find the new population each year? Carefully consider what the decimal value is for 0.4%.
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| 45) In the previous question, if the city's population was 456,935 in 2001 and is growing at a rate of 0.4% per year, what would the population be in 2008, rounded to the nearest whole number?
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| 46) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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| No offline activities found |
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