Free Printable Review 8

1.

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

a)

y²+ 9y + 18

b)

y² - 9y + 18

c)

y² + 9y - 18

d)

y² - 9y - 18

2.

Which of the following is correct?

a)

(x - 3y)² = x²- 9y²

b)

(x - 3y)² = x² + 9y²

c)

(x - 3y)² = x² - 6xy + 9y²

d)

(x - 3y)² = x² + 6xy - 9y²

3.

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

a)

(n²)³

b)

(n³)³

c)

(n²)^-3

d)

(n^-2)³

4.

Which of the following is a perfect square trinomial?

a)

y² - 4

b)

y² + 81

c)

y² - 16y - 64

d)

b² - 10b + 25

5.

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

a)

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

b)

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

c)

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

d)

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

6.

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

a)

1

b)

4

c)

8

d)

16

7.

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

a)

x³- 12x² + 24x - 6y

b)

x³ + 12x² - 24x - 6y

c)

x³- 64

d)

x³ + 64

8.

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

a)

4

b)

8

c)

8x

d)

4xy

9.

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

a)

-3

b)

3

c)

-2

d)

2

10.

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

a)

(x - 5)² (x + 5)

b)

(x - 5) (x + 5)²

c)

x² -25

d)

x² - 10x + 25

11.

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

a)

y - 5

b)

y -11

c)

y + 11

d)

y - 1

12.

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

a)

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

b)

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

c)

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

d)

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

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?

a)

- 27/ 16

b)

27/16

c)

32/27

d)

-32/27

14.

Factor completely: xy + x + 2y +2

a)

(y + 1) (x + 2)

b)

(x + 1) (y + 2)

c)

(x +2) (y + 2)

d)

(y + 1) (x + 1)

15.

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

a)

19 and 37

b)

20 and 36

c)

18 and 38

d)

15 and 41

16.

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

a)

2a - 3

b)

2a + 3

c)

2a - 8

d)

2a + 8

17.

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

a)

(3x + 2) units

b)

(2x + 3) units

c)

(4x + 9) units

d)

(4x + 3) units

18.

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

a)

6, 4

b)

4, 6

c)

8, 3

d)

12, 2

19.

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

a)

5

b)

12

c)

-10

d)

-14

20.

What is the factor of (x² - 25)?

a)

(x+5) (x+5)

b)

(x-5) (x+5)

c)

(x+5)²

d)

(x-5)²

Review 8

Total questions: 20

Worksheet time: 30mins

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