Directions: Use this study guide to boost your mastery in Unit 1A Quadratics. There is no correct answer choice, instead, follow the steps in how to solve each problem.

Write your work in any type of paper and encircle/highlight your final answer.

The next number is your first question.

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CCSS.HSA-REI.B.4B

A rectangular table is placed on a rectangular mat. The width of the mat is 4 feet greater than the length, x, of the mat. The width of the table is 2 feet less than the width of the mat. The length of the table is 4 feet less than the width of the table. Which function represents the area of the mat not covered by the table?

• Show your work draw the actual figure and label. Translate in mathematical equations.

• Area means to multiply, once you're done then subtract the two AREAS.

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add and subtract a polynomial

• Plug in the given to the Area formula of a trapezoid.

• B1 and B2 can switch.

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application of polynomials

What is the product of (3x - 4y)(2x² - 3xy + 4y²)

• Use box method (2 by 3) or

  distributive property

• Combine like terms and arrange in standard form

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multiply polynomials

Subtract (6x⁴ - 3x³ + 5x + 10) from (2x³ - x² + 15x - 9).

• Stack them by column according to like terms

• Remember to change the sign of the subtrahend then proceed to addition property

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subtract polynomials

Expand 5(x + 3)² - 9

• Expand the binomial first (x+3)(x+3) before multiplying 5 to one of (x+3)

• Combine like terms and arrange in standard form

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CCSS.HSA.APR.C.5

Find the volume of the rectangular box given the lenght of (x+1), width of (x+2) and height of (5x-6).

• Multiply the length and the width using a 2 by 2 box method.

• Then multiply the product of length and width to its height. Combine like terms and arrange in standard form

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CCSS.HSA.APR.A.1

Factor 12x² - 2xy - 4y²

• Take out the GCF

• Factor the rest by any method (x-game, slide & divide and magic square). Final answer should contain the GCF

Factor: 8x² - 32.

• Take out the GCF

• Factor again the left over using difference of squares.

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CCSS.HSA.APR.C.4

Find the perimeter of a rectangle given an area of 6x² - 7x - 5.

• Perimeter means to add, draw the rectangle and solve the length and the width by factoring using (x-game, slide and divide, magic square)

• After solving length and width of rectangle add all the sides to get the perimeter.