Unit Test — Unit test Answers

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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
4

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.
7

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

Which statement is true about the polynomial 3x2y2 − 5xy2 − 3x2y2 + 2x2 after it has been fully simplified?

A
It has 2 terms and a degree of 2.
B
It has 2 terms and a degree of 3.
C
It has 4 terms and a degree of 2.
D
It has 4 terms and a degree of 4.
15

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.
17

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.
18

Factor –7x3 + 21x2 + 3x – 9 by grouping. What is the resulting expression?

A
(3 – 7x)(x2 – 3)
B
(7x – 3)(3 + x2)
C
(3 – 7x2)(x – 3)
D
(7x2 – 3)(3 + x)
20

The model represents a polynomial of the form ax2 + bx + c.

Question illustration
A
3x2 – 4x – 1 = (3x + 1)(x – 1)
B
3x2 – 2x – 1 = (3x – 1)(x + 1)
C
3x2 – 4x + 1 = (3x – 1)(x – 1)
D
3x2 – 2x + 1 = (3x – 1)(x – 1)

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