Free Printable Fall Exam Review 1 (CAT)

1.

Simplify
3√2 - 3√18

a)

-4√8

b)

4√9-6√3

c)

5√12

d)

-6√2

2.

Add: 4√7 - 10 √7 + 7√7

a)

-6√7

b)

14√7

c)

-3√14

d)

√7

3.

a)

A

b)

B

c)

C

d)

D

4.

Read the question carefully and choose the correct answer.

a)

A

b)

B

c)

C

d)

D

5.

a)

A

b)

B

c)

C

d)

D

6.

Simplify the above expression

a)

$2\sqrt{3}\ -3\sqrt{6}-\ 3\sqrt{27}$

b)

$-\ 16\sqrt{3}-\ 3\sqrt{6}$

c)

$-14\sqrt{3}-\ 3\sqrt{6}$

d)

$3\sqrt{2}\ -\ 3\sqrt{6}$

7.

a)

x = 49

b)

x = 53

c)

x = 45

d)

x = 18

8.

Solve and check your solution(s).

a)

x = 2, 3

b)

x = -2, -3

c)

x = -1, -6

d)

No solution

9.

Solve.

a)

no solution

b)

6

c)

3

d)

4

10.

a)

A

b)

B

c)

C

d)

D

11.

Simplify the following:
$\frac{x^{12}}{x^4}$

a)

$x^3$

b)

$x^4$

c)

$x^8$

d)

$x^{12}$

12.

Simplify the following:
$\frac{10x^{10}}{5x^5}$

a)

$2x^2$

b)

$2x^5$

c)

$5x^2$

d)

$5x^5$

13.

Simplify the following:
$\frac{10x^{10}}{5x^5}$

a)

$2x^2$

b)

$2x^5$

c)

$5x^2$

d)

$5x^5$

14.

Simplify the following:
$\left(3x^2y\right)\left(4xy^4\right)$

a)

$7x^2y^4$

b)

$7x^3y^5$

c)

$12x^2y^4$

d)

$12x^3y^5$

15.

Simplify the following:
$\left(-2x^3y^2\right)\left(3x^2y^3\right)$

a)

$-5x^5y^5$

b)

$-5x^6y^6$

c)

$-6x^5y^5$

d)

$-6x^6y^6$

16.

a)

b)

c)

d)

17.

a)

b)

c)

d)

18.

a)

b)

c)

d)

19.

a)

b)

c)

d)

20.

a)

b)

c)

d)

21.

a)

b)

c)

d)

22.

a)

b)

c)

d)

23.

When factoring

x² - 4x + 4 = 20,

what goes in the blank?

(x - __ )²

a)

4

b)

2

c)

8

d)

20

24.

To have exactly a perfect square, what would be the last term here?

x² + 12x + ____

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

25.

Complete the square.
x² + 6x + ____

a)

x² + 6x + 9

b)

x² + 6x - 36

c)

x² + 6x + 36

d)

x² + 6x - 9

26.

Complete the square.
x² + 14x + ____

a)

x² + 14x - 196

b)

x² + 14x + 49

c)

x² + 14x - 49

d)

x² + 14x + 196

27.

Factor: 8x³ - 1

a)

(2x - 1)(4x² + 2x + 1)

b)

(2x + 1)(4x² - 2x + 1)

c)

(2x - 1)(4x² - 2x - 1)

d)

(2x + 1)(4x² +2x + 1)

28.

Factor: 27x³ + 8

a)

(3x + 2)(9x² - 6x + 4)

b)

(9x + 2)(3x² + 18x + 4)

c)

(3x²+4)(9x + 2)

d)

(27x + 8)(x² - 216x + 64)

29.

Factor
27x³-64

a)

(3x-4)(9x²+12x+16)

b)

(3x-4)(9x²-12x+16)

c)

(3x+4)(9x²-12x+16)

d)

(3x+4)(9x²+12x+16)

30.

Fully Factor the Following
216x³+125

a)

6(x+5)³

b)

(6x+5)³

c)

(6x+5)(6x²-30x+25)

d)

(6x+5)(36x²-30x+25)

Fall Exam Review 1 (CAT)

Total questions: 30

Worksheet time: 1hrs 25mins

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