AnswersGSD Math Sec II Q1 CRTest

Test — Cumulative exam Answers

0 verified answers1 views
1
Free Preview

Which statement is true about the polynomial –10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6 after it has been fully simplified?

A
It is a monomial with a degree of 4.
B
It is a monomial with a degree of 7.
C
It is a binomial with a degree of 6.
D
It is a binomial with a degree of 8.
2
Free Preview

Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 – 22x2 – 9x + 33. Her work is shown.Step 1: (6x3 – 22x2) – (9x + 33)Step 2: 2x2(3x – 11) – 3(3x + 11)

A
Marisol should realize that her work shows that the polynomial is prime.
B
Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) – (9x – 33).
C
Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) + (9x – 33).
D
Marisol should refactor the expression in Step 2 as 2x2(3x + 11) – 3(3x + 11).
3

Teresa is factoring this polynomial by grouping. Which common factors should be used in the next step of factoring?10x3+3x2−20x−6(10x3+3x2)+(−20x−6)

A
x2 and −2x
B
2x2 and −2x
C
x2 and −2
D
2x2 and −2
4

Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.Step 1: (3x3 – 15x2) + (–4x + 20)Step 2: 3x2(x – 5) + 4(–x + 5)

A
Omar should realize that his work shows that the polynomial is prime.
B
Omar should go back and regroup the terms in Step 1 as (3x3 – 15x2) – (4x + 20).
C
In Step 2, Omar should factor only out of the first expression.
D
Omar should factor out a negative from one of the groups so the binomials will be the same.
5

The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. What are the value of g and h?

A
g = –9 and h = 7
B
g = 9 and h = –3
C
g = –7 and h = 7
D
g = 7 and h = 3
6

The area of a square can be represented by the expression x10. Which monomial represents a side of the square?

A
x2
B
x5
C
x20
D
x100
7

Sari is factoring the polynomial 2x2+5x+3. If one factor is (x+1), what is the other factor?

A
2x−3
B
2x+3
C
3x−2
D
3x+2
8

Which polynomial has factors of 4x – 7 and x + 4?

A
3x2 + x – 3
B
4x2 + 9x – 28
C
3x2 – 7x – 3
D
4x2 – 23x – 28
9

The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 9924x3 + 44x − 54x2 − 994x(____) − 9(____)What is the common factor that is missing from both sets of parentheses?

A
6x + 11
B
6x − 11
C
6x2 + 11
D
6x2 − 11
10

What is the greatest common factor of 4xy2 and 20x2y4?

A
4xy
B
4xy2
C
24xy
D
24xy2
11

Which terms could be used as the last term of the expression below to create a polynomial written in standard form? Select three options.–5x2y4 + 9x3y3 + x5y5–4x4y56x4y–xy5–

Question illustration
A
x5
B
y5
C
–4x4y5
D
6x4y
E
–xy5
F
–
Option F
12

Which is a factor of 144 − 49x2?

A
12 - 7x2
B
72 – 7x2
C
12 – 7x
D
72 + 7x
13

Which diagram represents the factors of m2 – 10m + 16 ?

A
A 2-column table with 2 rows. First column is labeled m with entries m squared, 4 m. Second column is labeled negative 6 with entries negative 6 m, 16. First row is labeled m with entries m squared, negative 6 m. Second row is labeled 4 with entries 4 m, 16.
Option A
B
A 2-column table with 2 rows. First column is labeled m with entries m squared, 2 m. Second column is labeled negative 8 with entries negative 8 m, 16. First row is labeled m with entries m squared, negative 8 m. Second row is labeled 2 with entries 2 m, 16.
Option B
C
A 2-column table with 2 rows. First column is labeled m with entries m squared, negative 6 m. Second column is labeled negative 4 with entries negative 4 m, 16. First row is labeled m with entries m squared, negative 4 m. Second row is labeled negative 6 with entries negative 6 m, 16.
Option C
D
A 2-column table with 2 rows. First column is labeled m with entries m squared, negative 8 m. Second column is labeled negative 2 with entries negative 2 m, 16. First row is labeled m with entries m squared, negative 2 m. Second row is labeled negative 8 with entries negative 8 m, 16.
Option D
14

What is the difference of the two polynomials?(7y2 + 6xy) – (–2xy + 3)

A
7y2 + 4xy – 3
B
7y2 + 8xy – 3
C
7y2 + 4xy + 3
D
7y2 + 8xy + 3
15

Which is true about the polynomial y2 – 3y + 12?

A
It is a binomial with a degree of 2.
B
It is a binomial with a degree of 3.
C
It is a trinomial with a degree of 2.
D
It is a trinomial with a degree of 3.
16

Armando used algebra tiles to represent the product .

Question illustration
A
He used the algebra tiles correctly.
B
He did not represent the two original factors correctly.
C
The signs on some of the products are incorrect.
D
Some of the products do not show the correct powers of x.
17

Which expression is equivalent to 64 − 9x2?

A
(32)2 − (3x)2
B
(32)2 + (−3x)2
C
(8)2 − (3x)2
D
(8)2 + (−3x)2
18

The diagram represents the area of a rectangle as 9x2 + 24x + 16 square units.

Question illustration
A
both: 3x + 4 units
B
both: 3x + 8 units
C
width: 3x + 4 units; length: 6x + 12 units
D
width: 3x + 8 units; length: 6x + 8 units
19

What is the greatest common factor of 8m, 36m3, and 12?

A
4
B
8
C
4m
D
8m
20

Which statement is true about the polynomial –3x4y3 + 8xy5 – 3 + 18x3y4 – 3xy5 after it has been fully simplified?

A
It has 3 terms and a degree of 5.
B
It has 3 terms and a degree of 7.
C
It has 4 terms and a degree of 5.
D
It has 4 terms and a degree of 7.

Did you find these answers helpful?

More from this Course

Quiz
1 verified answers

Test