Complex Numbers Answers

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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
2
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The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x2 – x + 200. The number of toy cars sold is represented by x.

A
3x – 260
B
3x + 140
C
5x – 260
D
5x + 140
3

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
4

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)
5

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
6

Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. Which expression can be used to find the perimeter of the rectangle and what is the perimeter if x = 4?

A
(5x−2)+(3x+1); 31 centimeters
B
(5x−2)+(3x+1); 36 centimeters
C
2(5x−2)+2(3x+1); 62 centimeters
D
2(5x−2)+2(3x+1); 70 centimeters
7

Which of the following is always irrational?

A
the sum of two fractions
B
the product of a fraction and a repeating decimal
C
the sum of a terminating decimal and the square root of a perfect square
D
the product of a repeating decimal and the square root of a non-perfect square
8

Which number expresses 6.72 as a fraction in simplest form?

A
mc002-1.jpg
Option A
B
mc002-2.jpg
Option B
C
mc002-3.jpg
Option C
D
mc002-4.jpg
Option D
9

mc005-1.jpg

Question illustration
A
mc005-2.jpg
Option A
B
mc005-3.jpg
Option B
C
mc005-4.jpg
Option C
D
mc005-5.jpg
Option D
10

What is the greatest common factor of 8x and 40y?

A
8
B
8xy
C
320
D
320xy
11

The formula for the area of a parallelogram is A = bh, where b is the base and h is the height.

Question illustration
A
–4x3 + 14x – 24 square centimeters
B
2x3 – 6x2 – 14x + 24 square centimeters
C
–4x3 – 14x + 24 square centimeters
D
2x3 + 6x2 + 14x + 24 square centimeters
12

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
13

The area of a rhombus can be evaluated using the formula , where d1 represents the measure of one of its diagonals and d2 represents the measure of its other diagonal. When d1 is a terminating decimal and d2 is a repeating decimal, what can be concluded about the area of the rhombus?

Question illustration
A
The area is irrational because both diagonals are irrational.
B
The area is rational because the product of an irrational diagonal and rational diagonal will be multiplied by the rational fraction .
Option B
C
The area is rational because the formula will multiply both rational diagonals and the fraction .
Option C
D
The area is irrational because the formula will multiply two decimals by a fraction.
14

Sam is determining the area of a triangle. In this triangle, the value for the height is a terminating decimal, and the value for the base is a repeating decimal. What can be concluded about the area of this triangle?

A
The area will be irrational because the height is irrational.
B
The area is irrational because the numbers in the formula are irrational and the numbers substituted into the formula are rational.
C
The area is rational because the numbers in the formula are rational and the numbers substituted into the formula are rational.
D
The area will be rational because both the height and the base are irrational.
15

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
16

Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = y.

A
(2x + y)(2x2 + 2xy – y2)
B
(2x + y)(4x2 + 2xy – y2)
C
(2x + y)(4x2 – 2xy + y2)
D
(2x + y)(2x2 – 2xy + y2)
17

What is the sum of the polynomials?(7x3 – 4x2) + (2x3 – 4x2)

A
5x3
B
9x3
C
5x3 – 8x2
D
9x3 – 8x2
18

Which terms could have a greatest common factor of 5m2n2? Select two options.m5n55m4n310m4n15m2n224m3n4

A
m5n5
B
5m4n3
C
10m4n
D
15m2n2
E
24m3n4
19

What is the greatest common factor of 42a5b3, 35a3b4, and 42ab4?

A
7ab3
B
6a4b
C
42a5b4
D
77a8b7
20

Fiona wrote out the description of each step for her multiplication of the binomial and trinomial (2x – 3)(5x2 – 2x + 7).In which step did Fiona make an error?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4

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