Quiz about Review 8

Question 1

What is the product of (y - 6) and (y - 3)?

Accepted Answer

y² - 9y + 18

Answer

y²+ 9y + 18

Answer

y² + 9y - 18

Answer

y² - 9y - 18

Question 2

Which of the following is correct?

Accepted Answer

(x - 3y)² = x² - 6xy + 9y²

Answer

(x - 3y)² = x²- 9y²

Answer

(x - 3y)² = x² + 9y²

Answer

(x - 3y)² = x² + 6xy - 9y²

Question 3

The expression m⁶ - n⁶ is equal to (m²)³ - ______.

Accepted Answer

(n2)3

Answer

(n3)3

Answer

(n2)-3

Answer

(n-2)3

Question 4

Which of the following is a perfect square trinomial?

Accepted Answer

b² - 10b + 25

Answer

y2 - 4

Answer

y2 + 81

Answer

y² - 16y - 64

Question 5

When simplified, $$\frac{5y+15}{10}$$ 10 equals to:

Accepted Answer

$$\frac{y+3}{2}$$

Answer

$$\frac{5\left(y+3\right)}{10}$$

Answer

$$\frac{5y\ +8}{10}$$

Answer

$$\frac{y+5}{3}$$

Question 6

The numerical value of $$\frac{x^4}{6-x}$$ when x = 2 is:

Accepted Answer

4

Answer

1

Answer

8

Answer

16

Question 7

What is the product of x - 4 and x²+ 4x + 16?

Accepted Answer

x3 - 64

Answer

x³- 12x² + 24x - 6y

Answer

x³ + 12x² - 24x - 6y

Answer

x3 + 64

Question 8

What is the greatest common monomial factor of the expression 16x² - 8xy - 24xy³?

Accepted Answer

8x

Answer

4

Answer

8

Answer

4xy

Question 9

Simplify: $$\frac{3x-6}{2-x}$$

Accepted Answer

-3

Answer

3

Answer

-2

Answer

2

Question 10

The LCD of the fraction $$\frac{5}{x^2-25}$$ and $$\frac{6}{x^2-10x+25}$$ is ___________.

Accepted Answer

(x - 5)² (x + 5)

Answer

(x - 5) (x + 5)²

Answer

x2 -25

Answer

x² - 10x + 25

Question 11

If one of the factors of y² - 6y - 55 is y + 5, what is the other factor?

Accepted Answer

y -11

Answer

y - 5

Answer

y + 11

Answer

y - 1

Question 12

The reduce form of $$\frac{3c+5d}{25d^2-9c^2}$$ is ________.

Accepted Answer

$$\frac{1}{5d-3c}$$

Answer

$$\frac{3c+5d}{3c-5d}$$

Answer

$$\frac{3c+5d}{5d-3c}$$

Answer

$$\frac{1}{\left(5d+3c\right)}$$

Question 13

What is the value of the expression $$\frac{x^{-3}yc^8}{x^2y^{-2}c^7}$$ when x is 2, y is 3 and c is -2?

Accepted Answer

- 27/ 16

Answer

27/16

Answer

32/27

Answer

-32/27

Question 14

Factor completely: xy + x + 2y +2

Accepted Answer

(y + 1) (x + 2)

Answer

(x + 1) (y + 2)

Answer

(x +2) (y + 2)

Answer

(y + 1) (x + 1)

Question 15

The sum of two numbers is 56. Their difference is 18. Find the numbers.

Accepted Answer

19 and 37

Answer

20 and 36

Answer

18 and 38

Answer

15 and 41

Question 16

One of the factors of 2a² + 5a - 12 is a + 4. What is the other factor?

Accepted Answer

2a - 3

Answer

2a + 3

Answer

2a - 8

Answer

2a + 8

Question 17

The area of a square is 4x² + 12x + 9 square units. Which expression represents the length of the side?

Accepted Answer

(2x + 3) units

Answer

(3x + 2) units

Answer

(4x + 9) units

Answer

(4x + 3) units

Question 18

Find the missing term: (x + ___)(3x + ___) = 3x² + 27x + 24

Accepted Answer

8, 3

Answer

6, 4

Answer

4, 6

Answer

12, 2

Question 19

Which of the following values of k will make x² - 5x + k factorable?

Accepted Answer

-14

Answer

5

Answer

12

Answer

-10

Question 20

What is the factor of (x² - 25)?

Accepted Answer

(x-5) (x+5)

Answer

(x+5) (x+5)

Answer

(x+5)2

Answer

(x-5)2

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