Unit Test — Unit test Answers

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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)
2
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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
3

Which algebraic expression is a polynomial with a degree of 2?

A
4x3 − 2x
B
10x2 −
Option B
C
8x3+ + 3
Option C
D
6x2 − 6x + 5
4

Which monomials are perfect squares? Select three options.

A
6x2
B
9x8
C
17x9
D
25x12
E
36x16
5

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

A
(x2 – 7)(x – 5)
B
(x2 – 7)(x + 5)
C
(x2 – 5)(x – 7)
D
(x2 + 5)(x – 7)
6

The diagram represents a difference of squares.

Question illustration
A
(m – 2)(m + 18)
B
(m – 3)(m + 3)
C
(m – 4)(m + 9)
D
(m – 6)(m + 6)
7

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

A
x + 4
B
x + 40
C
3x + 13
D
3x + 43
8

Which will result in a difference of squares?

A
(negative 7 x + 4)(negative 7 x + 4)
Option A
B
(negative 7 x + 4)(4 minus 7 x)
Option B
C
(negative 7 x + 4)(negative 7 x minus 4)
Option C
D
(negative 7 x + 4)(7 x minus 4)
Option D
9

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
10

The expression 40x2 – 65x + 50 represents the sum of the interior angles of a regular pentagon in degrees. If the interior angles of the pentagon are equal, which expression represents the measure of two angles?

A
2x2(20 – 32x + 25x2)
B
2(8x2 – 13x +10)
C
5x2(8x2 – 13x + 10)
D
5(3x2 – 8x + 5)
11

Which is the completely factored form of 4x2 + 28x + 49?

A
(x + 7)(4x + 7)
B
4(x + 7)(x + 7)
C
(2x + 7)(2x + 7)
D
2(x + 7)(x + 7)
12

Which statement is true about the polynomial 3x2y2 − 5xy2 − 3x2y2 + 2x2 after it has been fully simplified?

A
It has 2 terms and a degree of 2.
B
It has 2 terms and a degree of 3.
C
It has 4 terms and a degree of 2.
D
It has 4 terms and a degree of 4.
13

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)
14

Simplify the expression –2(p + 4)2 – 3 + 5p. What is the simplified expression in standard form?

A
–2p2 – 11p – 35
B
2p2 + 21p + 29
C
–2p2 + 13p + 13
D
4p2 + 37p – 67
15

What is the product of (2p + 7)(3p2 + 4p – 3)?

A
6p3 + 29p2 – 34p + 21
B
6p3 + 29p2 – 22p + 21
C
6p3 + 29p2 + 22p – 21
D
6p3 + 29p2 + 34p – 21
16

The table represents the multiplication of two binomials.

Question illustration
A
A and B
B
B and C
C
A and D
D
B and D
17

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)
18

The revenue, in dollars, of a company that produces jeans can be modeled by 2x2+17x−175. The cost, in dollars, of producing the jeans can be modeled by 2x2−3x−125. The number of pairs of jeans that have been sold is represented by x. If the profit is the difference between the revenue and the cost, which expression can be used to find profit and what is that profit when 75 pairs of jeans are sold?

A
20x−50; $500
B
20x−50; $1,450
C
20x+50; $1,550
D
20x+50; $5,250
19

A square with an area of A2 is enlarged to a square with an area of 25A2. How was the side of the smaller square changed?

A
The side length was increased by 5.
B
The side length was multiplied by 5.
C
The side length was increased by 10.
D
The side length was multiplied by 10.
20

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.

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