Answers Summer_Advanced AlgebraUnit Test

Unit Test Answers

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A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2a inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

4a + 12

8a + 24

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What is the quotient of (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?

x – 2

x + 2

x – 4

x + 1

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to ?

x3 – x2

–x3 + x2

–x3 + x2 – 1

x3 – x2 + 1

Which statement about the simplified binomial expansion of (a – b)n, where a, b and n are positive integers, is true?

All terms of the expansion are positive.

All terms in the expansion are negative.

The first term in the expansion is positive.

The first term in the expansion is negative.

What is the product?

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What is the fifth term in the binomial expansion of (x + 5)8?

175,000x3

43,750x4

3,125x5

7,000x5

Which function has an inverse that is also a function?

g(x) = 2x – 3

k(x) = –9x2

f(x) = |x + 2|

w(x) = –20

Which expression is equivalent to ?

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If c(x) = 4x – 2 and d(x) = x2 + 5x, what is ?

4x3 + 18x2 – 10x

x2 + 9x – 2

16x2 + 4x – 6

4x2 + 20x – 2

If , what is ?

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f Superscript negative 1 Baseline (x) = one-ninth x + 2

f Superscript negative 1 Baseline (x) = negative 2 x + one-ninth

If and , what is the domain of ?

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Vanessa uses the expressions (3x2 + 5x + 10) and (x2 – 3x – 1) to represent the length and width of her patio. Which expression represents the area (lw) of Vanessa’s patio?

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If f(x) = 7 + 4x and , what is the value of ?

Eleven-halves

StartFraction 27 Over 10 EndFraction

160

270

What is the completely factored form of x2 – 16xy + 64y2?

xy(x – 16 + 64y)

xy(x + 16 + 64y)

(x – 8y)(x – 8y)

(x + 8y)(x + 8y)

What is the remainder when (x4 + 36) is divided by (x2 – 8)?

100

117

Which statement about –2h2 – 15h – 7 is true?

One of the factors is (h + 2).

One of the factors is (3h – 2).

One of the factors is (2h + 1).

One of the factors is (h – 7).

The volume of a cylinder is given by the formula , where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x + 8) and height (2x + 3). Which expression represents the volume of the can?

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The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

x + 1 minus StartFraction 4 Over x Superscript 4 Baseline + 4 x cubed + 3 x squared + 8 x + 4 EndFraction

x + 1 + StartFraction 4 Over x Superscript 4 Baseline + 4 x cubed + 3 x squared + 8 x + 4 EndFraction

x + 1 minus StartFraction 4 Over x cubed + 3 x squared + 8 EndFraction

x + 1 + StartFraction 4 Over x cubed + 3 x squared + 8 EndFraction

What is the completely factored form of p4 – 16?

(p – 2)(p – 2)(p + 2)(p + 2)

(p – 2)(p – 2)(p – 2)(p – 2)

(p minus 2) (p + 2) (p squared + 2 p + 4)

(p minus 2) (p + 2) (p squared + 4)

The graph of f(x) is shown below.If f(x) and its inverse function, , are both plotted on the same coordinate plane, where is their point of intersection?