Pre-Algebra Diagnostics Review

Rational & Irrational Numbers

100

Which fraction equals a repeating decimal?

 A. 5/80 C. 17/85 B. 11/88 D. 18/81

18/81

200

Which is an estimate of the square root of 35 to the nearest hundredth? 

A 3.5    C 5.91     B 5.29      D 5.92

D 5.92

300

Which of these is most likely to describe the change received from a cash purchase?

A. whole number        B. negative integer  

C. rational number     D. irrational number

C. rational number

400

Which statement is false? 

A Some integers are irrational. 

B Some integers are whole numbers. 

C Some rational numbers are integers.

D Some real numbers are irrational.

A Some integers are irrational.

500

Write 1 2/16 as a decimal.

2.0625

Sets of Real Numbers

100

The square root of a number is 9. What is the other square root? 

-9

200

Which of the following  is an integer but not a whole number? 

A.  -9.6                         B. -4

C. 0                              D. 3.7

B. -4

300

Which is in order from least to greatest? 

A. 3.3    10/3  3.14  11/4  

B. 10/3,  3.3,   11/4,   3.14

C. 11/4, 3.14,  3.3,  10/3

C. 11/4, 3.14,  3.3,  10/3

400

A square acre of land is 4,840 square yards, between which two integers is the length of one side? 

A. Between 24 and 25 yards 

B. Between 69 and 70 yards

C. Between 242 and 243 yards 

B. Between 69 and 70 yards

500

What numbers are integers but not whole numbers?

All of the negative numbers that are not fractions or decimals

Ordering Real Numbers

100

Compare. Write <, >, or =

 square root of 5 + 3          Square root of 5 + 4

<

200

3. square root of 7 + 4       square root of 5 + 6

<

300

Compare. Write <, >, or =

square root of 2 + 4    2 + the square root of 4

>

400

Order the numbers from least to greatest. 

   2,    square root of 2/ 2,    −10

-10, square root of 2/, 2

500

Compare. Write <, >, or =  

square root of 3 + 3      square root of 13 − 7

>

Exponents & Scientific Notation

100

What is 89 to zero power 

1

200

What is 4 to the negative 2 power 

1/16

300

What is 6,400 written in scientific notation

6.4 x 10 to the 3rd power 

400

What is 1.045 x 10 to the negative 6 power in standard notation 

0.00001045

500

A Human hair has a width of about 6.5 x 10 to the negative 5 meter. What is this width written in standard notation? 

0.000065 meter 

Proportional, Non Proportional & Functions

100

1.   Write an equation that shows the relationship in the table?

Weeks (x)                       Trees Planted (y) 

2                                     40

5                                     100

10                                   200

y = 20x

200

The table shows a proportional relationship. What is the missing y-value? 

x                 y

4                 6

10               15

12                ?

18

300

The table represents a linear relationship. What is the y-intercept?

x                  y

2                  4

3                  7

4                  10

5                   13

-2

400

Is this relationship a function? and Why?

x                 y

3                 5

7                 6

8                 9

Yes, because the x (inputs are not repeating)

500

Is this relationship a function? Why? x

x                             y

-1                            8

-1                            9

0                             6

4                             10

No, Because the x's are repeating