Pre-Algebra Diagnostic Pre-Test

1.

Multiple Choice

1 min

1 pt

Which of the following is a factor of 60?

11

12

13

14

2.

Multiple Choice

1 min

1 pt

If 4/5 = N/15 , then N =

5

9

12

25

3.

Multiple Choice

45 sec

1 pt

Round the answer to the nearest hundredth: 3.21 + 3.62 ÷ 2.43

4.69

2.81

4.70

15.02

4.

Multiple Choice

45 sec

1 pt

5³•5⁸ =

5¹¹

5²⁴

25¹¹

25²⁴

5.

Multiple Choice

1 min

1 pt

Judy’s heart beats 70 times a minute. At this rate, how many times does her heart beat in an hour?

2800

4200

7000

8400

6.

Multiple Choice

2 mins

1 pt

9(x + 3) – (2x + 5) =

-11x – 2

7x – 32

11x – 22

7x + 22

7.

Multiple Choice

1 min

1 pt

Find 25% of 840.

210

420

1050

730

8.

Multiple Choice

1 min

1 pt

Which of the following is the area of the square shown to the right?

210

60

225

30

9.

Multiple Choice

1 min

1 pt

The least common multiple of 20 and 12 is

240

30

60

120

10.

Multiple Choice

45 sec

1 pt

The difference of a number n and the number 8 is 42. Which of the following equations represents this statement?

n/8 = 42

n – 8 = 42

n + 8n = 42

8 = 42

11.

Multiple Choice

2 mins

1 pt

If 3x = y - 5 and x = -4, then y =

-7

3

7

17

12.

Multiple Choice

1 min

1 pt

If 9 is P percent of 17, then P is a number between

0 and 20

20 and 40

40 and 60

60 and 80

13.

Multiple Choice

1 min

1 pt

Reduce the final answer: (22 + 4) / (44 + 16)

13 / 30

1 / 3

4 / 7

13 / 25

14.

Multiple Choice

2 mins

1 pt

Round to the nearest tenth,

5.8

6.7

6.9

7.1

15.

Multiple Choice

1 min

1 pt

A basketball team won 10 games and lost 15. What is the ratio of wins to the total number of games?

2/5

3/5

2/7

3/7

16.

Multiple Choice

1 min

1 pt

Which of the following is the prime factorization of 28?

2x7

4x7

2x2x7

2x3x3

17.

Multiple Choice

2 mins

1 pt

4(x + 6) + 2(3x – 5) =

4x + 14

10x + 34

10x + 14

10x – 24

18.

Multiple Choice

1 min

1 pt

The area A of a circle is given by the formula: A = πr²

If the radius of the circle is 7 inches, find the area of the circle.

36π sq. inches

7π sq. inches

49π sq. inches

14π sq. inches

19.

Multiple Choice

1 min

1 pt

What is the average (arithmetic mean) of 34, 43, 17 and 67?

40.25

42.5

58

80.5

20.

Multiple Choice

1 min

1 pt

(-5)(16)(-3)(-2) =

A) B) C) D)

- 480

480

240

160

21.

Multiple Choice

45 sec

1 pt

2ab/6a

3/b

1/3b

b/3

3/ab

22.

Multiple Choice

1 min

1 pt

If y = 1/4 , then 15/y =

1/60

1/5

5

60

23.

Multiple Choice

1 min

1 pt

A circle with center O is shown above. What fractional part of the circle is shaded?

5/6

2/3

3/4

9/10

24.

Multiple Choice

45 sec

1 pt

24. On a number line, what number represents the point half the distance between A and B?

- 4

- 5

4

2

25.

Multiple Choice

2 mins

1 pt

25. Multiply and write the answer in proper scientific notation:

(1.9 x 10³) x (5.8 x 10⁸)

11.02 x 10¹¹

1.102 x 10¹²

1.102 x 10¹⁰

1.102 x 10^-11

26.

Multiple Choice

45 sec

1 pt

What are the coordinates of point Q of rectangle PQRS shown in the figure above?

(-1, 7)

(3, -1)

(5, 2)

(7, -1)

27.

Multiple Choice

1 min

1 pt

What is the lowest common denominator of:

11/5 + 2/3 + 1/6

30

15

45

60

28.

Multiple Choice

45 sec

1 pt

In the right triangle ABC shown above, what is the length of AC?

10

14

13

169

29.

Multiple Choice

1 min

1 pt

The price of a jacket was increased from $140 to $168. What was the percent increase in the price of the jacket?

10%

20%

30%

40%

30.

Multiple Choice

1 min

1 pt

(4x³y⁴)(-5x²y⁵) =

-20x⁶y²⁰

-20x³ + -20y⁴

-20x⁵y⁹

-20x⁹y¹⁰²⁸

31.

Multiple Choice

1 min

1 pt

Simplify: x² + 3x + 4x² – 10x + 8 – x

5x² – 8x

5x² – 5x + 8

5x² – 8x + 8

5x⁴ – 17x

32.

Multiple Choice

45 sec

1 pt

Evaluate: 12 + (-16) + 24 – 18

-2

2

4

18

33.

Multiple Choice

1 min

1 pt

Evaluate: 7 + 3 · 4 + 8 – 5

43

-22

32

22

34.

Multiple Choice

45 sec

1 pt

Express in scientific notation: .0052

5.2 x 10⁴

5.2 x 10³

5.2 x 10^-3

5.2 x 10^-4

35.

Multiple Choice

45 sec

1 pt

Which is closest to the location of point A on the number line?

-9

-5

0

5

36.

Multiple Choice

30 sec

1 pt

Round to the nearest whole number:

67.498

67

68

67.5

67.4

37.

Multiple Choice

30 sec

1 pt

Convert 0.00456 meters to millimeters

0.456 mm

4.56 mm

45.6 mm

456 mm

38.

Multiple Choice

1 min

1 pt

2 extra large chocolate shakes contain 85 ounces of ice cream. How many ounces of ice cream are there in 12 extra large chocolate shakes?

510 ounces

1020 ounces

255 ounces

480 ounces

39.

Multiple Choice

1 min

1 pt

Find the volume of a shoe box that measures 7 inches by 18 inches by 14 inches.

1764 cubic inches

1484 cubic inches

2387 cubic inches

39 cubic inches

40.

Multiple Choice

45 sec

1 pt

In the formula p = kt, find t when k = 36 and p = 144.

5184

4

8

1/4

41.

Multiple Choice

45 sec

1 pt

Find the perimeter of the rectangle shown above.

32

16

48

24

42.

Multiple Choice

45 sec

1 pt

Reduce the fraction 39/91 to lowest terms

2/3

3/5

2/7

3/7

43.

Multiple Choice

1 min

1 pt

3 / 8 + 5/18 =

57/72

47/72

29/36

11/18

44.

Multiple Choice

30 sec

1 pt

Change 8.75% to a decimal.

.0875

.875

8.75

87.5

45.

Multiple Choice

30 sec

1 pt

The temperature at noon on each of five successive days is plotted on the graph shown above. Which day had the greatest increase in noon temperature from that of the previous day?

Tuesday

Wednesday

Thursday

Friday

46.

Multiple Choice

45 sec

1 pt

20/5

23/5

5/23

17/5

47.

Multiple Choice

2 mins

1 pt

The shaded part of the square can be expressed by

.02

20%

2/5

1⁄4

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