AnswersFL-1200310-Algebra 1Unit Test

Unit Test — Unit test Answers

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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
2
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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)
3

Adi used algebra tiles to represent the product .

Question illustration
A
She used the algebra tiles correctly.
B
She did not represent the two original factors correctly on the headers.
C
The signs on some of the products are incorrect.
D
Some of the products do not show the correct powers of x.
4

Which term completes the product so that it is the difference of squares?(−5x−3)(−5x+________)

A
−9
B
−3
C
3
D
9
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 polynomial 2x3 − 5x2 + 4x − 10 is split into two groups, 2x3 + 4x and −5x2 − 10. The GCFs of each group is then factored out. What is the common binomial factor between the two groups after their GCFs have been factored out?

A
2x + 5
B
2x − 5
C
x2 − 2
D
x2 + 2
7

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
8

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
9

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.
10

Which is true about the polynomial –3xy2 + 5x2y?

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.
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

Which algebraic expression is a polynomial with a degree of 4?

A
5x4 +
Option A
B
x5 – 6x4 + 14x3 + x2
C
9x4 – x3 –
Option C
D
2x4 – 6x4 +
Option D
13

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)
14

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
15

What is the quotient?x + 1)3x2 − 2x + 7

A
3x − 5 +
Option A
B
3x − 5 +
Option B
C
3x + 5 +
Option C
D
3x + 5 +
Option D
16

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)
17

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

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

Manuel's division is shown.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
19

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
20

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)

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