AnswersFL-1200310-Algebra 1 Sem 2Multiplying Polynomials and Simplifying Expressions

Complex Numbers Answers

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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.
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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)
3

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)
4

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
5

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
6

Which number expresses 6.72 as a fraction in simplest form?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Verona is solving the equation -3 + 4x = 9. In order to isolate the variable term using the addition property of equality, which number should she add to both sides of the equation?

A
–4
B
3
C
–3
D
4
8

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
9

What is the solution to the inequality 5.25 – b ≥ 6.5?

A
A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5.
Option A
B
A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5.
Option B
C
A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5.
Option C
D
A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5.
Option D
10

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

A
m5n5
B
5m4n3
C
10m4n
D
15m2n2
E
24m3n4
11

The solution to an inequality is given in set-builder notation as {x l x > }. What is another way to represent this solution set?

Question illustration
A
(–∞ , ]
Option A
B
(–∞ , )
Option B
C
(, ∞)
Option C
D
[, ∞)
Option D
12

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.
13

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

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