AnswersFL-1200380-Algebra 1-BUnit Test

Unit Test Answers

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1
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The model represents a polynomial of the form ax2 + bx + c.

Question illustration
A
3x2 – 4x – 1 = (3x + 1)(x – 1)
B
3x2 – 2x – 1 = (3x – 1)(x + 1)
C
3x2 – 4x + 1 = (3x – 1)(x – 1)
D
3x2 – 2x + 1 = (3x – 1)(x – 1)
2
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Which is a factor of x2 + 8x – 48?

A
(x – 6)
B
(x + 4)
C
(x – 16)
D
(x + 12)
3

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
4

Use synthetic division to solve (x4 – 1) ÷ (x – 1). What is the quotient?

A
x cubed minus x squared + x minus 1
Option A
B
x3
C
x cubed + x squared + x + 1
Option C
D
x3 – 2
5

A polynomial function has a root of –3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, and a root of 3 with multiplicity 2. If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?

A
mc015-1.jpg
Option A
B
mc015-2.jpg
Option B
C
mc015-3.jpg
Option C
D
mc015-4.jpg
Option D
6

If f(–2) = 0, what are all the factors of the function ? Use the Remainder Theorem.

Question illustration
A
(x + 2)(x + 60)
B
(x – 2)(x – 60)
C
(x – 10)(x + 2)(x + 6)
D
(x + 10)(x – 2)(x – 6)
7

Tyrone factored the polynomial completely. What is the value of B?12x4+30x3+4x2+10xAx(Bx2+1)(2x+5)

A
2
B
3
C
5
D
6
8

The polynomial function is graphed below.Which is a potential rational root of f(x) at point P?

Question illustration
A
The root at point P may be .
Option A
B
The root at point P may be .
Option B
C
The root at point P may be .
Option C
D
The root at point P may be .
Option D
9

Which binomial is a factor of 9x2 – 64?

A
3x – 8
B
9x – 32
C
3x + 32
D
9x + 8
10

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)
11

Which table describes the behavior of the graph of f(x) = 2x3 – 26x – 24?

A
mc012-1.jpg
Option A
B
mc012-2.jpg
Option B
C
mc012-3.jpg
Option C
D
mc012-4.jpg
Option D
12

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11?

A
, , , 5
Option A
B
, 1, , 11
Option B
C
, , , , , 5, 11
Option C
D
0, , , , , , 5, 11
Option D
13

Which is the completely factored form of 12x3 – 60x2 + 4x – 20?

A
4(3x2 – 1)(x – 5)
B
4x(3x2 + 1)(x – 5)
C
4x(3x2 – 1)(x + 5)
D
4(3x2 + 1)(x – 5)
14

The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24?

A
y – 20
B
y – 14
C
y – 8
D
y – 6
15

Which monomials are perfect squares? Select three options.6x29x817x925x1236x16

A
6x2
B
9x8
C
17x9
D
25x12
E
36x16
16

Which expression is equivalent to 6x2 – 19x – 55?

A
(2x – 11)(3x + 5)
B
(2x + 11)(3x – 5)
C
(6x – 11)(x + 5)
D
(6x + 11)(x – 5)
17

What is the cube root of 8x27?

A
2x3
B
2x9
C
4x3
D
4x9
18

Which monomial is a perfect cube?

A
16x6
B
27x8
C
32x12
D
64x6
19

Which model represents the factors of x2 + 9x + 8?

A
An algebra tile configuration. 7 tiles are in the Factor 1 spot: 1 is labeled + x and 6 are labeled +. 4 tiles are in the Factor 2 spot: 1 is labeled + x and 3 are labeled +. 28 tiles are in the Product spot: 1 is labeled + x squared, 9 are labeled + x, 9 are labeled +, and 9 are labeled negative.
Option A
B
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x and 4 are labeled +. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled +. 15 tiles are in the Product spot: 1 is labeled + x squared, 6 are labeled + x, and 8 are labeled +.
Option B
C
An algebra tile configuration. 6 tiles are in the Factor 1 spot: 1 is labeled + x and 5 are labeled +. 4 tiles are in the Factor 2 spot: 1 is labeled + x and 3 are labeled +. 24 tiles are in the Product spot: 1 is labeled + x squared, 8 are labeled + x, 9 are labeled +, and 6 are labeled negative.
Option C
D
An algebra tile configuration. 9 tiles are in the Factor 1 spot: 1 is labeled + x and 8 are labeled +. 2 tiles are in the Factor 2 spot: 1 is labeled + x and 1 is labeled +. 18 tiles are in the Product spot: 1 is labeled + x squared, 9 are labeled + x, and 8 are labeled +.
Option D
20

What is the greatest common factor of the terms in the polynomial 12x4 + 27x3 + 6x2?

A
3x
B
3x2
C
6x2
D
6x4

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Unit Test Answers — FL-1200380-Algebra 1-B