Free Printable OCCT PA Review Test Prep 2025

1.

Which number is irrational?

a)

0.75

b)

$\sqrt{3}$

c)

$\frac{1}{3}$

d)

0.5

2.

Estimate $\sqrt{20}$ . Round your answer to the nearest whole number.

a)

4

b)

5

c)

6

d)

7

3.

Which point is the best estimate of $\sqrt{5}$ on a number line?

a)

2.1

b)

2.2

c)

2.3

d)

2.4

4.

Simplify $2^3 \times 2^4$ .

a)

$2^7$

b)

$2^{12}$

c)

$2^{14}$

d)

$2^6$

5.

Evaluate the expression $5^0$ .

a)

0

b)

1

c)

5

d)

10

6.

What is the cube root of 27?

a)

2

b)

3

c)

4

d)

5

7.

Write 0.00056 in scientific notation.

a)

$5.6 \times 10^{-4}$

b)

$5.6 \times 10^{-3}$

c)

$5.6 \times 10^{-5}$

d)

$5.6 \times 10^{-6}$

8.

Estimate $\pi^2$ . Round your answer to the nearest whole number.

a)

9

b)

10

c)

11

d)

12

9.

Which of the following is a rational number?

a)

$\sqrt{2}$

b)

$\pi$

c)

$\frac{4}{5}$

d)

$\sqrt{3}$

10.

Simplify the expression: $10^3 \times 10^2$ .

a)

$10^5$

b)

$10^6$

c)

$10^4$

d)

$10^7$

11.

Estimate $\sqrt{75}$ . Round your answer to the nearest whole number.

a)

8

b)

9

c)

10

d)

11

12.

Write 7,500,000 in scientific notation.

a)

$7.5 \times 10^5$

b)

$7.5 \times 10^6$

c)

$7.5 \times 10^7$

d)

$7.5 \times 10^8$

13.

Which value best approximates $\sqrt{50}$ ?

a)

6.5

b)

7.1

c)

7.5

d)

8.0

14.

Which of the following numbers is irrational?

a)

$\frac{1}{2}$

b)

0.333...

c)

$\sqrt{2}$

d)

0.75

15.

Which of the following is a rational number?

a)

$\pi$

b)

$\sqrt{5}$

c)

0.25

d)

$\sqrt{3}$

16.

Order the following numbers from least to greatest: $\sqrt{5}$ , 2.52, $\frac{5}{2}$ , 2.24.

a)

2.24, $\frac{5}{2}$ , 2.52, $\sqrt{5}$

b)

2.24, $\sqrt{5}$ , $\frac{5}{2}$ , 2.52

c)

$\sqrt{5}$ , 2.24, $\frac{5}{2}$ , 2.52

d)

2.24, $\frac{5}{2}$ , $\sqrt{5}$ , 2.52

17.

Solve for $x$ when $x^2 = 49$ .

a)

7

b)

-7

c)

$\pm7$

d)

0

18.

Which of the following is true about the square root of 2?

a)

It is a rational number.

b)

It is an integer.

c)

It is an irrational number.

d)

It is a whole number.

19.

Which of the following is a perfect square?

a)

15

b)

16

c)

17

d)

18

20.

Solve for $x$ when $x^2 = 64$ .

a)

8

b)

-8

c)

$\pm8$

d)

0

21.

Which of the following numbers is closest to $\sqrt{10}$ ?

a)

3.1

b)

3.2

c)

3.3

d)

3.4

22.

Which of the following numbers is a perfect cube?

a)

10

b)

27

c)

50

d)

100

23.

Evaluate $^3\sqrt{216}$ .

a)

4

b)

5

c)

6

d)

7

24.

Order the following numbers from smallest to largest: $\frac{1}{2}$ , $\sqrt{2}$ , $0.05$ , $\pi$ .

a)

$\frac{1}{2}$ , $0.05$ , $\sqrt{2}$ , $\pi$

b)

$0.05$ , $\frac{1}{2}$ , $\sqrt[]{2}$ , $\pi$

c)

$\pi$ , $\sqrt{2}$ , $\frac{1}{2}$ , $0.05$

d)

$\frac{1}{2}$ , $0.05$ , $\pi$ , $\sqrt{2}$

25.

Which of the following decimals represents a rational number?

a)

$0.1010010001...$

b)

$0.333...$

c)

$\pi$

d)

$\sqrt{2}$

26.

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10⁵

d)

3 x 10¹¹

27.

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10³

b)

4.8 x 10²

c)

4.08 x 10²

d)

4.08 x 10¹

28.

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

a)

30.08 x 10¹¹

b)

3.008 x 10¹¹

c)

3.008 x 10¹²

d)

2.9375 x 10¹

29.

Which is the smallest?
1.3 x 10²⁰2.9 x 10²¹9.5 x 10³²8.4 x 10¹⁹

a)

1.3 x 10²⁰

b)

2.9 x 10²¹

c)

9.5 x 10³²

d)

8.4 x 10¹⁹

30.

(9.6×10^-8)÷(2×10^-15)

a)

-4.8×10⁷

b)

4.8×10⁷

c)

4.8×10^-7

d)

-4.8×10^-7

31.

What is scientific notation?

a)

A long way to write really short numbers

b)

A short way to write really long numbers

c)

I don't know...

d)

None of the above

32.

Simplify the following expression:

$\frac{42\times10^{-6}}{3\times10^2}$

4 lines

33.

Simplify the following expression:

$\frac{12\times10^{-15}}{30\times10^{-9}}$

4 lines

34.

Simplify the following expression:

( 8.2 X 10^-24) ( 7.3 X 10^-8)

4 lines

35.

The word "of" represents what operation?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

36.

Write a verbal expression for:
4q

a)

Four q

b)

Four times q

c)

Four plus q

37.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

38.

What does "quotient" mean?

a)

add

b)

subtract

c)

multiply

d)

divide

39.

the quotient of a number and 4

a)

n / 4

b)

n - 4

c)

n + 4

d)

4n

40.

What does "difference" mean?

a)

add

b)

subtract

c)

multiply

d)

divide

41.

Erica has three less than twice as many pencils as Dale has. If Dale has d pencils, which expression shows how many pencils Erica has?

a)

3 - 2d

b)

2d - 3

c)

½d - 3

d)

3 - ½d

42.

"Subtracted from" and "less than" are terms that mean you need to "turn around" or "flip" the terms around.

a)

True

b)

False

43.

AT&T charges $30 per month for phone service and a one-time activation fee of $25. What expression describes the scenario, where m = months?

a)

30 - 25m

b)

30m - 25

c)

30 + 25m

d)

30m + 25

44.

A Lyft driver earns $10/hour and works "h" hours per day. She also spends $25 on gas each day. Which expression represents how much she will earn in a day?

a)

10h + 25

b)

10h - 25

c)

10h - 25h

d)

10h + 25h

45.

Which expression represents the perimeter of a triangle in simplest form that has side lengths: 2x, 3x + 5, x + 2

a)

6x + 7

b)

13x

c)

5x + 7

d)

7x + 10

46.

Simplify by combining like terms:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

10ab + 4

47.

Combine like terms: n -10 + 9n - 3=

a)

9n - 7

b)

10n - 7

c)

9n - 13

d)

10n -13

48.

Which of the terms could be combined in the following expression:

3x + 7 - 9x + 24y + 2x²

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

49.

Which of the following is equivalent to 8(5f - 7) + 3f ?

a)

43f - 7

b)

37f - 56

c)

43f - 56

d)

40f - 56 + 3f

50.

Which of the following shows JUST a variable?

a)

g + 7

b)

g + 7 = 10

c)

g

d)

7g

51.

Which of these contains a constant?

a)

56t

b)

4r - s

c)

12e + 7

52.

How many terms are in the expression

3 + 2b + c + 100 + 6b

a)

3

b)

4

c)

5

53.

-2(3x + 5) + 6x

a)

-12x - 5

b)

10

c)

-12x - 10

d)

-10

54.

Combine like terms: 6x - 6y + 14

a)

6x - 6y + 14

b)

14

c)

xy + 14

d)

0

55.

Simplify the following expression:

2x + 7(x - 5) - 4

a)

9x + 20

b)

9x + 31

c)

9x - 31

d)

9x - 39

56.

Simplify.

½(4x - 10)

a)

8x - 5

b)

2x + 5

c)

2x - 5

d)

8x - 20

57.

Simplify the expression:
6 + 2(7x - 3)

a)

12 + 7x

b)

14x

c)

8x + 6

d)

9 + 7x

58.

a)

24z+8

b)

22z+6

c)

23z+8

d)

24z+2

59.

Solve: 5x + 34 = -2(-7x + 1)

a)

-4

b)

9

c)

4

d)

36/19

60.

Simplify the expression:
6 + 2(7x - 3)

a)

12 + 7x

b)

14x

c)

8x + 6

d)

9 + 7x

61.

Solve: 2(4x - 3) - 8 = 4 + 2x

a)

5/3

b)

3

c)

1

d)

2

62.

Solve: 5x - 14 = 8x + 4

a)

6

b)

-6

c)

-18/13

d)

10/3

63.

Solve: -18 - 6x = 6(1 + 3x)

a)

-1

b)

1

c)

No Solution

d)

Infinite Solutions

64.

12x - 15 = 3(2x+3)

a)

x = 4

b)

x = -4

c)

x = 2

d)

x = -2

65.

Solve the equation. When typing your answer,

ONLY type the number! DO NOT TYPE IN X=!

(a)

66.

Solve the equation. When typing your answer,

ONLY type the number! DO NOT TYPE IN X=!

2x - 3 + 4x = 27

(a)

67.

Solve the following equation for x:
4x - 9 = (-9) + 4x

a)

no solution

b)

infinite solutions

c)

x = 0

d)

x = -9

68.

Solve the following equation for x:
10x + 2x + 5 = 8x + 4x + 7

a)

no solution

b)

infinite solutions

c)

x = 12

d)

x = 0

69.

For the equation below to have infinite solutions, which value must go in the blank:
___ + 12 = -4x + 12

a)

-4

b)

-4x

c)

4x

d)

12

70.

For the equation below to have no solution, which value must go in the blank:
___ + 10x = 8x + 4

a)

2x

b)

4

c)

-2x

d)

8x

71.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

OCCT PA Review Test Prep 2025

Total questions: 71

Worksheet time: 5hrs 22mins

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