AnswersLAUSD-Algebra I Prescriptive - SummerUnit Test

Unit Test — Unit test Answers

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What is the factored form of the polynomial?x2 – 16x + 48

A
(x − 4)(x − 12)
B
(x − 6)(x − 8)
C
(x + 4)(x + 12)
D
(x + 6)(x + 8)
22
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The partial factorization of x2 – x – 12 is modeled with algebra tiles.

Question illustration
A
3 negative unit tiles
B
3 positive unit tiles
C
4 negative unit tiles
D
4 positive unit tiles
23

How could Brent use a rectangle to model the factors of x2 – 7x + 6?

A
He could draw a diagram of a rectangle with dimensions x – 3 and x – 4 and then show the area is equivalent to the sum of x2, –3x, –4x, and half of 12.
B
He could draw a diagram of a rectangle with dimensions x + 7 and x – 1 and then show the area is equivalent to the sum of x2, 7x, –x, and 6.
C
He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.
D
He could draw a diagram of a rectangle with dimensions x – 4 and x + 3 and then show the area is equivalent to the sum of x2, –4x, 3x, and half of –12.
24

What is the difference of the polynomials?(8r6s3 – 9r5s4 + 3r4s5) – (2r4s5 – 5r3s6 – 4r5s4)

A
6r6s3 – 4r5s4 + 7r4s5
B
6r6s3 – 13r5s4 – r4s5
C
8r6s3 – 5r5s4 + r4s5 + 5r3s6
D
8r6s3 – 13r5s4 + r4s5 – 5r3s6
25

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

A
x2(4x + 1) – 2(4x + 1)
B
x2(4x – 1) + 2(4x – 1)
C
4x2(x + 2) – 1(x + 2)
D
4x2(x – 2) – 1(x – 2)

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