AnswersAG Q2 Keystone Algebra 1 Block 26-27DDiamondMultiplying Polynomials and Simplifying Expressions

Multiplying Polynomials and Simplifying Expressions Answers

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When doctors talk about an individual's body composition, they are talking solely about the fat components of the human body.

A
T
B
F
2
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Which of the following is NOT true about childhood obesity?

A
Children who are obese may find it difficult to maintain a healthy body composition as an adult.
B
Childhood obesity, which affects numerous children in the US, can be influenced by heredity.
C
Childhood obesity can be influenced by lifestyle choices, such as exercise and dietary habits.
D
Obese children find that maintaining a healthy body composition is easier as an adult because their metabolism naturally increases.
3

Because they are both lean, when Mark and Lauren have children, they will most likely have children who are lean.

A
T
B
F
4

Which of the following statements is TRUE about storage body fat?

A
The more storage body fat one has, the better the internal organs can function.
B
Storage body fat can be found directly below the skin in the human body.
C
It is important to minimize storage body fat because it places too much pressure on the internal organs.
D
People have roughly the same amount of storage body fat in their bodies.
5

Explain the difference between essential body fat and storage body fat.

Answer not available
6

Which of the following is NOT true about the body mass index?

A
uses statistical data of weight and height across the population
B
measures the percentage of one's body fat directly
C
relies on a correlation between weight and body fat
D
does not account for one's body frame size or muscle content
7

Luke is 5 feet 11 inches and weighs 170 pounds. Using the body mass index chart as a guide, under which category would he fall?

A
underweight
B
normal
C
overweight
D
obese
8

Like his parents, Thomas is short, stocky, and heavyset. Although he exercises regularly and eats a well-balanced meal, his body composition stays the same. Explain what factor is most likely affecting his body composition.

Answer not available
9

Your friend Emily has just started a new fitness program and wants to know if a scale is a good way to track her progress. Give your opinion and justify your response with examples from this lesson.

Answer not available
10

Compare and contrast the health-related problems that severely underweight and overweight people might face.

Answer not available
11

The polynomial x3 + 8 is equal to

A
(x + 2)(x2 – 2x + 4).
B
(x – 2)(x2 + 2x + 4).
C
(x + 2)(x2 – 2x + 8).
D
(x – 2)(x2 + 2x + 8).
12

Chin made an error in his chart showing the multiplication of the binomial by the trinomial.

Question illustration
A
The expression 3x3 should be 3x2.
B
The expression 6x should be 6xy.
C
The expression x2y should be x2y2.
D
The expression 4y should be 4y2.
13

What is the product?(x − 3)(2x2 − 5x + 1)

A
2x3 − x2 + 16x + 3
B
2x3 − 11x2 + 16x + 3
C
2x3 − 11x2 + 16x − 3
D
2x3 − x2 + 16x − 3
14

Iliana multiplied 3p – 7 and 2p2 – 3p – 4. Her work is shown in the table.

Question illustration
A
6p3 + 23p2 + 9p + 28
B
6p3 – 23p2 – 9p + 28
C
6p3 – 23p2 + 9p + 28
D
6p3 + 23p2 – 9p + 28
15

Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x – 2) and got the expression below.(2x)(x2) + (2x)(x) + (2x)(–2) + (3)(x2) + (3)(x) + (3)(–2)Which is the simplified product?

A
2x3 + 6x2 – x – 6
B
2x3 + x2 – x – 6
C
2x3 + 5x2 – x – 6
D
2x3 – x2 – 7x – 6
16

Sharina simplified the expression 3(2x – 6 – x + 1)2 – 2 + 4x. In Step 1 she simplified within the parentheses. In Step 2 she expanded the exponent.

Question illustration
A
Simplify the expression by adding and subtracting from left to right.
B
Combine like terms within the parentheses.
C
Combine all x-terms.
D
Distribute the 3 to each term in the parentheses by multiplying.
17

What is the product?(4y − 3)(2y2 + 3y − 5)

A
8y3 + 3y + 15
B
8y3 − 23y + 15
C
8y3 − 6y2 − 17y + 15
D
8y3 + 6y2 − 29y + 15
18

Use the chart to multiply the binomial by the trinomial.

Question illustration
A
15y3 + 17y2 + 22y + 15
B
6y3 + 17y2 + 22y + 15
C
6y3 + 20y2 + 22y + 15
D
6y3 + 17y2 + 22y + 25
19

The product of a binomial and a trinomial is x 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product after it has been fully simplified?

A
x3 + 5x2 + 5x – 2
B
x3 + 2x2 + 8x – 2
C
x3 + 11x2 – 2
D
x3 + 10x2 – 2
20

Using the distributive property to find the product (y−4x)(y2+4y+16) results in a polynomial of the form y3+4y2+ay−4xy2−axy−64x. What is the value of a in the polynomial?

A
4
B
8
C
16
D
32

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