Polynomial Operations Applications/AR Unit 7.1 Test Review

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CCSS.HSA.APR.A.1

Diane sews trim on towels. She represents the perimeter of the Size 1 towel with the function f(x), shown in the table. She represents the perimeter of the Size 2 towel with the function g(x). Diane represents the total length of trim needed with the function h(x) = f(x) + g(x). Which statement about the function h(x) is true? (Hint: Find the equation of Size 1 perimeter first.)

• The slope of h(x) is 5, and the y-intercept of h(x) is 4.

• The slope of h(x) is 1, and the y-intercept of h(x) is -6.

• The slope of h(x) is 6, and the y-intercept of h(x) is -5.

• The slope of h(x) is 2.5, and the y-intercept of h(x) is 2.

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CCSS.HSF-BF.A.1B

The diagram shows the floor plan of a storage facility. All dimensions are given in feet. Which expression represents the area of the storage facility in square feet?

• 20x² + 36x - 16

• 20x² - 4x - 16

• 16x² - 16

• 9x² - 16

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CCSS.HSA.APR.A.1

The area of a rectangle is 54x⁹y⁸ square yards. If the length of the rectangle is 6x³y⁴ yards, which expression represents the width of the rectangle in yards?

• 9x³y²

• 48x⁶y⁴

• 9x⁶y⁴

• 60x¹²y¹²

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CCSS.HSA.APR.A.1

The expression (x³)(x^-17) is equivalent to xⁿ. What is the value of n?

Mathematical Equivalence

ON

Tags

CCSS.HSA.APR.A.1

Johnson's Landscapes includes a blueprint for a backyard with grass and a pool/deck area. The are of the backyard is represented by b(x) = 25x² + 58x + 12, where x is distance in feet. The blueprint of the backyard is shown.

Johnson's Landscapes has created a table to determine the area of the backyard with grass, in square feet, for various values of x.

Which statement about the functions b(x), p(x), and g(x) is true?

• A. For any value of x, the difference between b(x) and p(x) will generate the same y-value as g(x) = 19x² + 35x + 2.

• B. For any value of x, the difference between b(x) and p(x) will generate the same y-value as g(x) = 19x² + 81x + 22.

• C. For any value of x, the difference between b(x) and p(x) will generate the same y-value as g(x) = 19x² + 35x + 22.

• D. For any value of x, the difference between b(x) and p(x) will generate the same y-value as g(x) = -19x² - 35x - 2.

Tags

CCSS.HSF-BF.A.1B

Sandy and Chip are looking to purchase a new hunting cabin. The area of the cabin located near the lake can be represented by the expression 12m² + 4m - 6. The area of the cabin located near Mount Ryan can be represented by the expression 6m² - 2m + 7. Which expression can be used to represent how much larger the cabin by the lake is?

• 6m² - 2m + 1

• 6m² + 6m - 13

• 18m² + 6m + 13

• -6m² - 2m + 1

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CCSS.HSA.APR.A.1

• A. 3m² + 5m - 1

• C. 3m² + 7m - 6

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CCSS.6.EE.A.3